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Tribology International Vol.31,No.10,pp.597–599,1998©1999Elsevier Science Ltd.All rights reservedPrinted in Great Britain 0301–679X/98/$19.00ϩ0.00PII:S0301–679X(98)00080–2Tribology science,technology and education in ArmeniaA.K.Pogosian*State of the art in the field of tribology in Armenia is discussed.The main problem in research,education and technology transfer to industry are considered.©1999Elsevier Science Ltd.All rights reserved.Keywords :tribology,Armenia,technology transfer,industryAs far back as the 1950s in Armenia,investigations in the field of providing wear resistance and durability of cutting tools were set up.Considerable impulse of work development in the field of tribology was the necessity to create new wear resistant high-friction and low-friction materials,friction nodes and types of lubricants for machines for various purposes.Self-lubricating materials on polymer and cermet bases were made.Tribological problems are actual in machine-tool industry,agricultural machine building industry,automotive industry,instrument engineering,electrical machine industry,composite tribomaterial science,material cutting etc.In the direction of creating optimal friction nodes,forecasting their wear resistance and introduction into production a lot of work is carried out,first of all,at the Yerevan Polytechnic Institute (now State Engineering University of Armenia).One of the most prosperous directions of tribological studies is the calculation and design of machine parts and friction nodes on the basis of composite polymer materials instead of conventional metal parts.Scientific principles of creating of new polymer-based self-lubricating composites,calculating methods on the selection of materials and estimation of wear resistance of friction nodes,as well as physical simulation of friction and wear processes on the small-sized labora-tory samples and forecasting of serviceability of friction nodes according to the results of accelerated tests,are worked out 1,2.The set of worked out methods of calculation and many years of study in these fields,as well as the results of their application to the study of friction interactions of polymer-based self-lubricating composite materials (PSCM),present themselves as a prosperous scientific direction in the solution of theState Engineering University of Armenia,105Terian Street,Yerevan 375009,Armenia*Tel:ϩ3742-589884;fax:ϩ3742-151068;e-mail:pogosian@seua.amReceived 12February 1998;accepted 14March 1998Tribology International Volume 31Number 101998597problems of creating PSCM and new constructions of friction nodes on their basis in the Republic of Armen-ia.The basic principles of selection of the fillers and polymer matrices for PSCM on the bases of general positive interactions and limiting factors of the fillers properties,as well as optimal combinations of compo-nents of filled systems (compositions),proceeding from the purpose of machine parts and friction nodes pro-duced by PSCM are worked out 1.In the basis of composite design,the principle of a self-lubricating mechanism by using the properties of friction transfer (FT)film is given posite polymer materials are able to form on the friction surfaces the film of FT of some nature,having the properties of lubricant film.Analysis of the conditions of friction film formation and evalution of its influence on the friction interaction processes,make it possible to consider that (together with the abrasion and corrosion),the transfer of material modifies the friction surface of counterbody and,consequently,various types of wear may take place with the intensivity that is characteristic for them.A general phenomenon was discovered:in spite of the fact that the friction surface temperature reaches values that are higher than the polymer melting point,inten-sive wear begins only after destruction (failure)of the FT film 4.At the present stage of Tribology development there is no fundamental physical explaination for the FT process.None of the current theories can adequately take account of this phenomenon,which is explained by difficulties of observation and description of mech-ano-chemical and physico-mechanical phenomena tak-ing place on the real area of contact.An adhesion-energetic model 5has been used to evaluate the transfer film thickness and its effectiveness.In accordance with this concept,in the spots of discrete contact of the rubbing bodies,there develop heat sources because of transformation of the mechanical energy.As a result,the contact surface of the polymer softens under theTribology science,technology and education in Armenia:A.K.Pogosianaction of friction heating and so-called scuffing bridges form,after which mechanical fracture arises in the places of least resistance,i.e.,in the section of the weaker polymer material,and transfer to the metal surface takes place.Analytic relations have been derived for determination of the FT film thickness,and the conditions of its effectiveness have been deter-mined.Such calculations significantly extend the possi-bilities of the analytic method for evaluating transfer film lubricity in the friction of polymer-based materials.The most perspective scientific direction for Armenia is the creation of PSCM with local mineral materials as a filler 6.The bulk supply of numerous mineral materials available in the Republic (tufa,basalt,traver-tine,bentonite et al.),may and must be more effectively used along with the other fillers (graphite,fluoroplastic,coke,molybdenum disulfide et al.).Essential results are obtained in the development of wasteless techno-logies for machine parts production,using non-expens-ive raw materials including fillers with special chemical or heat treating.Eventually,a new class of self-lubri-cated materials for bearings and tooth gears has been developed,called SIPAN.These are characterized by a high wear resistivity (wear intensity 2.2ϫ10−9),a constant and low friction coefficient (0.09–0.12)and a high-precision technology of machine parts production (9–10quality accuracy).The tribological and physico-mechanical comparative tests reveal that the developed materials surpass the widely used materials of the same type (SAM-6,SFD-DM,SFD-BS)in their wear resistivity,load-carrying capacity,accuracy of machine parts production tech-nology and strength.The main exploitation conditions of SIPAN composite materials are as follows:sliding velocity 2.0mps,specific loading 6.0MPa and work temperature 90°C (in the condition of nonlubricated friction).Based on the results of a study of the friction transfer phenomena,the mechanisms of self-lubrication and wear in the conditions of ‘dry’friction are revealed,and proposals are elaborated for the evalu-ation of metalopolymer friction pairs durability (wear-resistance).The optimization of the composition of developed materials via the method of full-factor experiments is puter programs are written for the expert computation of PSCM-made machine parts (e.g.,sliding bearings)in various exploitation modes.Technological packages are developed for the production of SIPAN composite materials and machine parts pressing castings as well.One of the most urgent problems of Armenian econ-omy is the creation and utilization of lubricants based on local materials and industrial waste,as well as restoration of used oils,taking into account the market demands for wasteless technologies,environmental pro-tection and urgent needs of the Republic.New composite lubricants have been developed based on wastes of the oleic acid industry and I-40A type industrial oil.The mechanisms of their impact upon the steel surfaces of friction nodes have been revealed.It has been proved that the newly developed composite lubricants in their physicochemical properties are not worse than those of I-40A type industrial oil,while their tribological characteristics are more advantageous:598Tribology International Volume 31Number 101998the friction coefficient and the wear index are lower for 60p.c.and 10p.c.correspondingly,the grip wear loading is higher for 47p.c.This gives an opportunity to make use of these newly developed composite lubri-cants in the heavy-loaded nodes with boundary lubri-cated friction,replacing the I-40A lubricants that is mainly used at present.In order to increase the efficiency of exploitation of the lubricants,new addi-tives with high antiwear and antiscoring properties have been proposed.The antiwear and antiscoring action mechanisms are revealed for various classes of hal-ogen-,sulphur-and phosphorus-containing additives (monocyclic ketones,bi-and tri-cyclic esters,halogen-and sulphur-containing olefins and esters of phosphoric acid).For all the classes of these composites a general regularity is revealed:the optimal choice of the addition leads to both high antiwear and antigear efficiency.As a result of a large number of experiments,two characteristics of the wear and seizure processes are introduced 7.One characteristic,the wear intensity coef-ficient,is represented as a factor of the exponent in the empirical dependence of wear rate on the length of the friction path.The second value is the relative load of seizure,i.e.,the attitude of the seizure loading to the load at which the given test is carried out,and at which the wear rate is measured.These two values are connected in a generalized dependence,invariant to the load,sliding velocity,system rigidity and lubri-cation medium properties.These observations are of essential interest for the theory and practice of tribology,since a unique corre-lation between antiwear and antisoring properties of lubricants has been demonstrated,opening up the possi-bility of predicting the antiscoring properties of lubri-cants based on the results of comparatively simple wear tests.In recent years in Armenia,significant development has obtained the theory of providing motion stability at friction (stick-slip process).Complex methods of reducing friction oscillations in the guide-ways of machine tools,robots and other machines are worked out 8.For the first time,the task of motion stability conformable to the sliding guide-ways is solved,in general view on the basis of space model of oscillation process of friction nodes of slider-guider type,con-firmably to the machine tools 9.Calculation algorithms of friction oscillations on the computer,permitting an evaluation of the influence of geometrical,physico-mechanical,constructive and tribological parameters on the friction auto-ossillation,have been plex methods of increasing of vibrostability of moving by the guides slip nodes,subject to factors of external action is suggested.The obtained data could be used both for the estimation of accuracy of existing,and for the optimization of,friction nodes of newly designed machines and machine tools.In the direction of providing motion stability at friction,wear resistant composite materials NASPAN for the application on the surface of the guide-ways,promoting a decrease in the scale of vibro-displacements of supports of metal cutting machine tools 3or more times,are created.Based on both model and real tests of car disk brakes,the dynamics of the breaking process,as well as theTribology science,technology and education in Armenia:A.K.Pogosianaction of vibration loading on the wear and friction properties of brake materials (asbo-polymers and asbes-tos-free)are investigated.The problem of creation of the asbestos-free friction (brake)composite materials with mineral fillers of local origin,is of greatest importance and crucial for environmental protection in order to replace the asbes-tos which is harmful for human health.Regretfully at present this is the main (up to 80p.c.)component of the vehicles’brake pads (friction clutches)material in the Republic of Armenia,as well as in the former Soviet Union countries 10.A new class of asbestos-free composite friction materials—BASTENIT—is created along with its varieties.A series of local mineral materials have been investigated as asbestos substitutes,and basalt-and glass-fibers along with tufa powder turned out to be most effective ones.A technology for BASTENIT class composite materials production is developed,aiming to use to the fullest extent,the existing technological process for the present full-scale production of asbo-polymerous materials without any additional investments and equipment.The materials obtained have passed through rational cycles of labora-tory,bench and road tests.The experimental evaluation of tribological characteristics and operational indicators proved their adequacy for main technical requirements:high friction coefficient and provision of stable oper-ational (brake)regimes as well as serviceability of the friction pair,especially at high temperatures (400–600°C).A classification of the materials obtained is carried out in accordance to the operational character-istic properties of the vehicles.Complex methods for high-temperature wear and vibration resistance evaluation and constructions of brake pads are worked out based on investigations of thermal,tribologic and oscillatory processes in brake devices 11,12.The second environmental-protection advantage of BASTENIT from the viewpoint of squeak background decrease,has been revealed by means of the characterization of the squeak (shaking)oscil-lations spectrum.Tribological studies are actual in other fields of Armen-ian machine building.Prosperous are the developments of antifriction composite materials by the methods of powder metallurgy 13,e.g.,on the basis of copper pow-der,doped sulphite and phosphorous.In the study of wear process of cutting instruments and tools in the treatment of various materials (including natural stone,with which the Republic is extremely rich)and alloys,a number of investigations are devoted 14.For the increase of capacity of work on restoring worn parts,Tribology International Volume 31Number 101998599the special design and technical bureau with consider-able economical efficiency is organized.Tribology education in Armenia is mostly carried out at the State Engineering University within the whole scale of the educational system:in BE,ME and PhD programms 15.Obviously the school and new generation of the specialists in the field of tribology in Armenia have already formed.In the development of Tribology in the Republic,a significant role is played by,(organized in 1974)the Armenian Tribology Commit-tee (ATC).More than 20years of professional activities and experience within the field of tribology science,technology and education,whether pure or applied,whole country (Republican)conferences,seminars,competitions,lectures and consultations etc.,and also sufficient fame and authority of the ATC,assure in the ability of the ATC to look after all disciplines comprising tribology in Armenia.The Armenian Tri-bology Committee became a member of the Inter-national Tribology Council (ITC)in 1997.References1.Pogosian,A.K.,Friction and Wear of Filled Polymer Materials .Moscow,1977,139p.2.Pogosian,A.K.,Wear ,1973,26,175–186.3.Briscoe,B.J.,Pogosian,A.K.and Tabor,D.,Wear ,1974,27,19–34.4.Pogosian,A.K.,Tribology in the USA and the Former Soviet Union:Studies and Applications .Allerton Press Inc.,New York,1994.pp.271–283.5.Pogosian,A.K.,Friction and Wear ,1984,5(2),204–211.6.Pogosian,A.K.,Karapetian,A.N.and Oganesian,K.V.,Wear of Materials ,1989,2,521–528.7.Pogosian,A.K.,Arustamian,Y.S.and Gevorkian,G.R.,Wear ,1993,167,85–86.8.Sysoev,P.V.,Bliznetc,M.M.and Pogosian,A.K.,Antifriction Epoxside Composites in Machine Tool Building .Minsk,1990,231p.9.Pogosian,A.K.,Demirchian,A.Z.and Gagian,G.S.,EURO-TRIB .Helsinki,1989.10.Pogosian,A.K.,Sysoev,P.V.,Meliksetian,N.G.and Lamb-arian,N.A.,Polymer-Based Friction Composites .Minsk,1992,218p.11.Pogosian,A.K.and Lambarian,N.A.,J.of Lubric.Tech ,1979,101(4),481–485.12.Pogosian,A.K.and Makarian,V.K.,Friction and Wear ,1993,14(3),539–543.13.Manoukian,N.V.(ed),Composite Materials and Their Treat-ment .Yerevan,1985.14.Kasian,M.V.(ed),The Quality of Machine Parts Surface .Yerevan,1985.15.Pogosian,A.K.,Principles of Tribology (Textbook).Yerevan–Athens,1994–95,296pp.。
Correlation between Microstructure andConductance in NTC Thermistors Produced from Oxide PowdersG.D.C.Csete de Gyo rgyfalva,*A.N.Nolte and I.M.ReaneyDepartment of Engineering Materials,Sir Robert Had®eld Building,University of She eld,She eld,S13JD,UKAbstractA detailed study of spinel-structured Ni 1Àx Mn 2+x O 4formed by a mixed oxide route has shown that when x %0a high proportion of NiO is residual in the sin-tered ceramic.Wickham (Wickham,D.G.,Solid phase equilibria in the system NiO±Mn 2O 3±O 2.J.Inorg.Chem.,1964,26,1369±1377)demonstrated that the spinel phase decomposes in air above 900 C.Sintering in this system is usually per-formed around 1200 C.Decomposition of the spi-nel phase is therefore inevitable.The e ect of decomposition on the microstructure and electrical properties of Ni 1Àx Mn 2+x O 4based ceramics is discussed.#1999Elsevier Science Limited.All rights reservedKeywords :microstructure,electrical conductivity,spinels,thermistors.1IntroductionNegative temperature coe cient (NTC)thermistors are found in an ever increasing number of electrical and electronic products.Ni 1Àx Mn 2+x O 4,where x denotes the deviation from the stoichiometric 1:1NiO:Mn 2O 3ratio,o ers a range of properties that are suitable for most temperature sensing applications.When x =0,(nickel manganite,NiMn 2O 4),the solid solution has an inverse cubic spinel structure,based on a 2Â2Â2array of face centred cubic (fcc)oxygen subunits.When x =1,Mn 3O 4is present which is a tetragonally distorted spinel.The properties routinely used to characterise NTC thermistors are resistance,R 1and R 2,at 25 C (T 1)and 85 (T 2)and a B value (with units of tem-perature in Kelvin)which is a measure of the sensi-tivity of the device over a given temperature range:BT 1T 2T 2ÀT 1ln R 1R 2IThe exact mode of conduction in nickel manga-nite is poorly understood,but several modelsinvoke the small polaron theory.1,2Small polaron conduction is sometimes referred to as a `hopping'mechanism,as it involves the transfer of polarisa-tion from one cation to another.In the nickel manganite system,it has been postulated that the mixed valence,Mn 4+,Mn 3+cations present on the octahedral sites give rise to these small polaron pathways.1The octahedral cations in the spinel structure lie in chains along some <110>direc-tions.These vectors represent the smallest inter-cationic distances within the unit cell.Another important parameter when considering applications for Ni 1Àx Mn 2+x O 4ceramics is their thermal stability or aging characteristics (changes in conductance over long periods,i.e.lifetime of the component).Reports indicate that better ther-mal stability is found in tetragonal ceramics rather than cubic materials though the conductivity of the latter is 10to 100times higher.2,3This could be explained by a reduction in the concentration of Mn 4+compared to Mn 2+and Mn 3+or possibly by the presence of planar defects such as ferroelas-tic domain walls.4Ni 1Àx Mn 2+x O 4ceramics have been prepared by the carbonate and oxalate methods,in addi-tion to the more conventional mixed oxide route.5Irrespective of the preparation route,sintering (typically around 1200 C)is always carried out above the decomposition temperature in air for the system ($900 C)as discussed by Wickham.5Con-sequently,ceramics ®red using conventional pro-cessing will contain multiple phases,e.g.NiO fromJournal of the European Ceramic Society 19(1999)857±860#1999Elsevier Science LimitedPrinted in Great Britain.All rights reservedP I I :S 0955-2219(98)00331-80955-2219/99/$-see front matter857*To whom correspondence should be addressed.Fax:+44-(0)114-222-5943;e-mail:mtp96gdc@she the decomposed spinel and Mn-rich regions,3,6,7in accordance with the equation:xiwn III2y43x xiy 3Àx3xi II 3À3x a 3Àxwn II 2x a 3Àx wn III2O4 x6O2PIt is the intention of this paper to demonstrate how the degree of decomposition from single phase in¯uences conductivity and,in particular,aging. X-ray di raction and transmission electron micro-scopy will be used to monitor the degree of decomposition and accelerated aging tests(470 C) will be performed.2Experimental ProcedureThe NiO and Mn2O3powders in a1:1Mn2O3:NiO molar ratio were weighed out using an electronic balance( 0.01g)and transferred to a poly-propylene vessel with a charge of ZrO2milling media(the weight of ZrO2varied with the weight of the batch being processed).The batch was mil-led for6h to reduce particle size distribution to a mean of6"m and a maximum of12"m then drawn through a suction®lter.The resulting slurry was dried in a70 C oven overnight.The dried powder was calcined in a mullite crucible at900 C for16h and subjected to a further6h milling under the above conditions.One one cm diameter pellets were pressed from the powders and sintered at 1250 C,achieving densities better than95%. Microstructural and structural characterisation were carried out using transmission electron microscopy(TEM)and X-ray di raction(XRD), respectively.XRD was performed on solid cera-mics and loose powders using a Phillips PW1050 di ractometer with a Cu K source.A0.02 step size was used at a scan rate of0.5 minÀ1.TEM samples were prepared by grinding the ceramic to a thickness of20"m and ion beam milling to per-foration.Images were obtained using JEOL200CX and3010TEMs:the latter was equipped with a LINK energy dispersive X-ray detector. Accelerated aging tests were carried out using a non-induction wound furnace held at470 C.Tem-perature¯ux was monitored in the furnace using a thermocouple mounted immediately adjacent to the test piece.Platinum wires leading to a high precision HP4284A LCR meter were used to make contact to the electroded surface of the cera-mic.Changes in the resistance of the leads and contacts as a function of temperature were taken into account by performing a closed circuit run.Typically,temperature varied within a 0.2 C range over10h.3Results and DiscussionWickham,5in his study of the Ni1Àx Mn2+x O4solid solution,demonstrated that above900 C decom-position occurs resulting in the formation of NiO and a Mn-rich spinel phase.The higher the tem-perature above the onset of the decomposition reaction,the more rapid the rate.In order to study the decomposition reaction in more detail and its potential e ect on electrical properties,single phase ceramics(within the sensitivity of conventional XRD)were fabricated,as demonstrated in Fig.1. Figure2shows a series of XRD traces from single phase samples heat treated at1000,1100and 1200 C for1h.The evolution of peaks corres-ponding to NiO can be observed in accordance with the predictions of Wickham.6The relative intensities of the NiO peaks(marked)increase with increasing temperature.Figure3is a bright®eld(BF)TEM image showing a typical region of spinel grains in single phase material.The grain boundaries and interiors are free from second phase.Inset in Fig.3is a <110>zone axis di raction pattern(ZADP)from one of the spinel grains in the image.Figure4isaFig.1.XRD trace of single phase ceramic.Note absence ofNiOpeaks.Fig.2.XRD spectra of samples held at1000,1100,1200 c for1h.NiO peaks are marked.858G.D.C.Csete de GyoÈrgyfalva et al.BFTEM image obtained from a sample decom-posed for9h at1250 C.Inset is a<110>ZADP pattern from the imaged region.The fundamental re¯ections can be indexed according to a<110> zone axis from rock salt structured NiO.The weak re¯ections at half integer positions arise from regions of spinel phase,observed as dark contrast. Rock salt(NiO)and spinel structured compounds invariably exhibit a cube//cube orientation rela-tionship.Oxides with the rock salt structure are based around single fcc oxygen subunits whereas spinel structured compounds have a2Â2Â2fcc oxygen sublattice.In order to study the aging characteristics of the ceramics as a function of decomposition,con-ductance measurements were performed over10h at470 C 0.2 C.Figure5shows the change in conductance normalised to the initial value,against time at470 C for(A)single phase spinel and(B) `partially'decomposed spinel(heat treated for9h at1250 C).The single phase sample showed a negligible drift in resistivity over the test period, whereas the`partially'decomposed sample exhib-ited a steady decline in conductance.Di erences in the absolute starting values can be attributed to small variations in the dimensions of the samples. Figures6and7are XRD traces showing the samples before and after the accelerated aging experiments.Figure6,which corresponds to Fig.5(A)(decomposed),shows a reduction intheFig.4.BFTEM image of spinel regions in a NiO matrix.Insetis a<110>ZADP from the NiO.Faint re¯ections are presentat half integer positions arising from the dark regions ofspinel.Fig.5.Graph showing normalised conductance versus time at470 C for(A)single phase and(B)decomposed(9h at1250 C)material.Fig.6.XRD spectra of single phase sample(A)before and(B)after acceleratedaging.Fig.7.XRD spectra of decomposed sample(A)before and(B)after acceleratedaging.Fig.3.BFTEM image of spinel grains in single phase mate-rial.Inset is a<110>zone axis di raction pattern(ZADP)from a spinel grain.NTC thermistors produced from oxide powders859intensity of the NiO peaks(A)before and(B)after the experiment.However,Fig.7,which corre-sponds to Fig.5(B)(single phase),shows traces that are identical(A)before and(B)after.It is thought that the accelerated aging at470 C leads to NiO being re-absorbed into the ceramic during the lifetime of the experiment.It is proposed that the decomposition reaction occurs homogeneously throughout the ceramic,and the NiO is intimately mixed with the spinel phase,as evidenced by Fig.4. The reverse process may therefore occur relatively quickly because of the short di usion distances involved(of the order of nm according to Fig.4). However,it should be noted that aging at room temperature may be related to di erent phenomena than suggested by these accelerated tests.4Conclusions.The reaction between NiO and Mn2O3pro-ceeds forwards slowly at temperatures less than900 C,but will reverse as temperature increases above this value..The rate of decomposition increases with increasing temperature resulting in amicrostructure of intimately mixed NiO and Mn-rich spinel..Initial investigations indicate that a single phase ceramic gives rise to substantial improvements in thermal stability under accelerated aging.References1.Brabers,V.A.M.and Terhell,J.,Electrical conductivityand cation valencies in nickel manganite.Phys.Stat.Sol.(a),1982,69,325±332.2.Dorris,S.E.and Mason,T.O.,Electrical properties andcation valences in Mn3O4.J.Am.Ceram.Soc.,1988, 71(5),379±385.3.Rousset,A.,Larange,A.,Brieu,M.,Couderc,J.andLegros,R.,In¯uence de la microstructure sur la stabilite electrique des thermistance.C.T.N Journ.de Phys.III, 1992,4,833±845.4.Macklen,E.D.,Electric conductivity and cation distribu-tion in nickel manganite.J.Phys.Chem.Solids,1986, 47(11),1073±1079.5.Wickham,D.G.,Solid phase equilibria in the systemNiO±Mn2O3±O2.J.Inorg.Chem.,1964,26,1369±1377.6.Feltz,A.,Topfer,J.and Schirrmeister,F.,Conductivitydata and preparation routes for NiMn2O4thermistor ceramics.J.Eur.Ceram.Soc.,1992,9,187±191.7.Jung,J.,Topfer,J.,Murbe,J.and Feltz,A.,Micro-structure and phase development in NiMn2O4spinel ceramics during isothermal sintering.J.Europ.Ceram.Soc.,1990,6,351±359.860G.D.C.Csete de GyoÈrgyfalva et al.。
新人教版高中英语必修(1-3)课文英汉对照(Word精校版)必修一Welcome Unit 欢迎单元Reading and ThinkingFIRST IMPRESSION 第一印象Han Jing's World7:00a.m.So this is it-senior high school at last. I'm not outgoing so I’m a little anxious right now. I want to make a good first impression. Will I make any friends? What if no one talks to me? 韩静的世界早上7:00这就是了一一终于到了高中学校!我性格并不外向,所以现在感觉有点焦虑。
我想给别人留下良好的第一印象。
我会交到朋友吗?要是没人跟我说话怎么办呢?12:30p.mI just had my first maths class at senior high school! The class was difficult, but the teacher was kind and friendly. He even told us a funny story and everyone laughed so much! I found most of my classmates and teachers friendly and helpful.中午12:30我刚刚上完高中的第一节数学课!这课(内容)很难,但老师却很友善。
他还给我们讲了笑话,惹得每个人都哈哈大笑!我觉得我的大多数同学和老师都很友好,而且乐于助人。
5:32p.mThis afternoon, we had our chemistry class in the science lab. The lab is new and the lesson was great, but the guy next to me tried to talk to me the whole time. I couldn’t concentrate on the experiment. I really wanted to tell him to please be quiet and leave me alone.下午5:32今天下午,我们在科学实验室上化学课。
The Art of Estimation*SAID SHAKERINDepartment of Mechanical Engineering,University of the Pacific,Stockton,CA 95211,USA.E-mail:sshakerin@The ability to perform estimation is an asset,for example,when dealing with problems with limited or unavailable data.Engineering students,in general,are inadequately prepared to perform rough estimation.A possible reason for this shortcoming is that the emphasis in engineering curricula is on detailed analysis and not enough attention is given to developing students'estimation skills.This paper outlines the importance of estimation and lists attributes that are necessary to carry out reasonable estimation.Furthermore,it provides a list of activities and exercises,appropriate for use in the lower division courses,to engage students in estimation scenarios and to launch them on a path to developing this skill.INTRODUCTIONESTIMATION IS an integral activity of our daily livesÐfrom determining how much cash to take along for an upcoming vacation to purchasing enough paint to add some color to our homes.Considering the latter,if our estimate is way off,we either end up with a lot of extra paint or need to make another trip to the paint shop to purchase more.Being able to estimate properly the various quantities that one encounters is a useful skill.People use experience and common sense and read labels and instructions to perform these estimations,which usually require simple arithmetic.Engineers also make use of estimation in their practice to determine answers to ill-defined problems or when a detailed solution is not required.Estimation particularly plays an impor-tant role in the preliminary stages of the design process,when decisions have to be made based on incomplete or unavailable details/data,and selec-tions must be made from a multitude of options.Furthermore,estimation is used to check the validity of answers based on back of the envelope type calculations.Engineering estimation (E 2)covers a large domain between guessing (instantly done and costing nothing)and detailed analysis (time consuming and expensive).Successful E 2is performed based on knowledge of dimensions and units,basic laws of physics and modeling,the ability to relate and compare,and common sense.Like many other attributes,an engineer's ability to estimate is enhanced and strengthened by experience and gaining professional judgment.CURRENT SITUATIONIn the late 1990s,a comprehensive study was undertaken at MIT to ascertain mechanical engin-eering students'ability to perform simple engin-eering estimations.The estimation questions posed to students in the survey related to energy in a small battery,drag on a bicyclist,and power output of a small motor.(The study also included students from five other top-ranked mechanical engineering programs,as well as practicing mechanical engineers for comparison purposes.)The study culminated in a Ph.D.dissertation by Linder [1]and resulted in a number of publications (e.g.[2,3]).The reader is encouraged to consult these references as they document details of the survey and findings with profound implications in engineering education.Two important conclusions of the study are quoted below.`Students were found to have considerable difficulty making estimates for common engineering quantities,such as force and energy.'`Students were also found to have difficulty applying basic engineering concepts in rough estimation situa-tions even at the senior level.'After reading the MIT study,the author became curious about how well University of the Pacific (Pacific)engineering students would perform E 2.He conducted a survey,borrowed from the MIT study,in the engineering Mentor III course in Spring 2003.Students in the two sections of this course were graduating seniors from all engineer-ing majors.(At Pacific,the engineering degree is a five-year program including one year of co-op.Thus,there are two years at the senior level.)Each question used in the estimation survey was given as an impromptu,five-minute in-class activ-ity.There were two questions in the survey,but only one is reported here as the other resulted in the same findings.Students were told not to write their names on their responses and that the activity had no effect on their grades in the course.The question was to estimate the energy content of a fresh 9-volt battery.Fifty-eight students participated and their numerical answers,which cover many orders of magnitude,are plotted in *Accepted 25July 2005.273Int.J.Engng Ed.Vol.22,No.2,pp.273±278,20060949-149X/91$3.00+0.00Printed in Great Britain.#2006TEMPUS Publications.Fig.1.This,in addition to other results,as organ-ized and tabulated in Appendix 1,corroborated the MIT findings that engineering students in general are not adequately prepared for even simple estimation problems and that they have problems with dimensions and units.WHAT TO DOTo help alleviate the present situation,the author advocates a systematical approach to expose students to estimation scenarios.Students should be encouraged to practice estimation and be made aware of its importance through short exercises with everyday objects and experiences.The more we ask students to estimate,the better they are prepared to use this skill in follow-up courses and eventually in their careers.Estimation exercises should be included in all courses,and especially the lower division courses,where the engineering foundations are established.Examples of such courses are Introduction to Engineering and Statics,where dimensions,units,and basic engineering concepts are discussed and learned.Several estimation activities appropriate at the freshman level are presented below to illustrate examples of what can be done.These activities could be done in class or assigned as homework.Activity No.1Ask students to make a list of familiar objects to serve as easy-to-remember estimation standards for various quantities.For example,a credit card is approximately 3.5inches long;a burning match converts chemical energy to about 3Btus of ther-mal energy;a hair dryer requires about 1kW of electrical power and so on.Of course,body parts such as feet and cubit (distance from elbow to fingertips)can be used for length standards.This activity can be performed by groups and then tallied on the board for the entire class to benefit.With such a list of objects in their memory,students will have a better grasp of units and how big,or small,they are.As students advance through their engineering programs,they can refine and add to their list of estimation standards.A fascinating source for visual comparisons among various quantities of distance,area,weight,density,energy,temperature,etc.is a book titled Comparisons [4],published in 1980.Activity No.2Take a piece of lumber,such as a length of 2by 4,to the class and ask students to estimate its length,width,and thickness.Point out the difference between the nominal and exact size in the lumber industry.Considering the lecture room,ask students to estimate the number of cans of paint needed to paint the walls,i.e.estimate the surface area.Point out the standard ceiling height in a typical older residential building (room's ceiling height %8ft in the USA).Activity No.3Ask students to estimate the weight of body extremities such as an arm or leg.This can be done,for example,by looking at a photograph with super-imposed gridlines to estimate the percentage of the body of each body part.With two views (front and side),fairly good estimates can be made.Simple experiments with bathroom scales can be performed to confirm the estimate.This kind of information is useful to designers of rehabilitative devices.Activity No.4Ask students to estimate the drag on a bicyclist traveling at 20mph.This was also one of the estimation questions that were used in the MIT study.There are several methods by which drag can be estimated as documented in Linder's disser-tation [1].A related article about drag on cars appeared in Scientific American [5].Activity No.5Ask students to estimate their own physical power.(Two excellent books that present and discuss different quantities (size,energy,etc.)in biological organisms are On Size and Life [6]and Exploring Biomechanics [7].)One simple way to do this is by climbing a flight of stairs.By estimating the person's weight (W ),the stair height (H ),and the time it took to climb (t ),the change in potential energy (PE =W ÂH ),and then power (P =PE/t )can be determined.This power is roughly 0.3hp for an average adult,but note that it would be difficult to sustain it for a long time.(For compar-ison,the pumping power of a human heart is about 0.002hp.)Of course,unit conversion plays an important role here;e.g.,to convert from lb f .ft/s or N.m/s to hp.Bryan Allen,an avid bicyclist in top condition,sustained about 0.4hp for near 3hours as he pedaled and piloted the human-powered Gossamer Albatross in June 1979to cross the English Channel.Point out the difference between burst and sustained amounts of power.Point out the different units of power usedÐhp for prime movers,kW for appliances,MW for power plants,etc.Also,point out the differencebetweenFig.1.Answers to estimation problem.Only those answers given in joules or equivalent are shown (31out of 58students).S.Shakerin274kW and kW.h as some,even senior students,have difficulty with this.Activity No.6Ask students to estimate home energy costs and compare these with their monthly statements from the utility company.Important lessons about kW.h, Btu,therm,cost,etc.can be shared via this exercise. Also,students will get a sense of the relative magnitudes of power requirements of various appli-ances.Utility companies might have useful informa-tion on this subject(e.g.,see ).Activity No.7Almost everybody has used9-V batteries in consumer products such as toys,smoke alarms, audio devices,etc.Yet,most people,includingsome engineering students,are clueless about the amount of energy stored in such a battery.The idea behind this activity is to conduct a simple experi-ment to allow students to measure this energy.ExperimentÐHave different groups use fresh bat-teries with different brand names for comparison. Connect a9-V battery to a light bulb(or other suitable loads such as a microprocessor cooling fan).Using an inexpensive multimeter,measure and record the battery voltage(V)and the bulb's resistance(R)every hour until the bulb is very dim. (Instrumenting the circuit with two multimeters to measure voltage across the bulb and current going through the bulb will yield more accurate results but the above procedure is quite adequate for our purpose.)Using Ohm's law,students should be able to determine the power(P V2/R)at each measure-ment instant,and then calculate the energy during the entire period(E ÆP.Át).After finishing the experiment,students will have been exposed to a simple circuit and use of a multimeter,Ohm's law, units of energy and power,and perhaps learned some safety lessons.Additionally,they will hope-fully remember the amount of energy stored in a 9-V battery for future reference.It is interesting to compare the cost of this energy with the PG&E (power company in California)residential rate, which is about12cents per kW.h or0.003cents per kJ.A9-V battery contains about10kJ and costs$3,which results in30cents per kJ.A battery is indeed a very expensive,but convenient,source of electrical energy!Activity No.8Ask students to estimate the power of a commercial jetliner.Students need some basic data to properly respond,and such data for both commercial and military aircrafts can be found at .For example,specifications for the Boeing747±400ER,the largest in the700series jetliners in production,are:W max 910,000lb f, V cruise 567mph at35,000ft,engine thrust 63,300lb f.Therefore,for this aircraft,the power to takeoff and reach the cruising altitude in about 10minutes is roughly70MW.In comparison,the power of a Boeing717,the smallest in production, turns out to be about8MW.It is interesting to note that the length of a717is roughly one half that of a747as seen in Fig.2,resulting in a volume (read weight)ratio of about one eighth,which is roughly the same as the power ratio.This exercise will allow students to appreciate the enormous power exhibited in jetliners and get a sense for how big a MW is.It is also educational to estimate the energy content of a jetliner due to its fuel.At 130Â106J/gal,a gallon of jet fuel is roughly equivalent to40,000burning matches or50lb of TNT.With tens of thousands of gallons of fuel onboard,a jetliner becomes a deadly weaponÐthe destructive force that brought down the Towers in the WTC tragedy on September11[8].An excel-lent source containing estimates related to various aspects of flying is a book by Henk Tennekes[9].Activity No.9As a follow-up exercise,ask students to report on output power of different kinds of motors such as a humming bird,human heart,small DC hobby motor,car engine,power plant,rocket,etc.Power is an important quantity in all branches of engin-eering and,with this kind of exercise,students will be better able to grasp the relative magnitudes of power among somewhat familiar objects.Figure3 represents a graphical example of the outcome of this activity,which clearly depicts order of magni-tudes among familiar objects and living systems. Appendix2provides the information used to estimate the quantities shown in Fig.3.Activity No.10Assign Fermi type problems either during lectures or as homework problems.Enrico Fermi, the famous nuclear physicist of the mid-twentieth century,used to surprise his physics students by asking them questions such as:`How many piano tuners are in Chicago?'These kinds of questions require students to use very simple arithmetic and relations to find answers to seemingly impossible problems,and to gain some insight.To seethe Fig.2.Accurate scaled models of the Boeing717and747.The Art of Estimation275answer to this and some dozen other such ques-tions,refer to the NASA web site [10].Two examples of Fermi type problems that the author has assigned to students are given below.1.Estimate the amount of paper needed to print the university newspaper on an annual basis.Determine the answer in terms of boxes of standard letter size paper.2.Estimate the number of books in the university library.Estimate their weight.Overall,students should be given ample opportu-nities to develop E 2ability by systematically going through basic dimensions and units and working up on physical lawsÐapplying their knowledge to common things and experiences.The above activ-ities,as well as others available in other references (e.g.[11,12]),will help students in this endeavor.As implicitly indicated earlier,there is much more to E 2than units and dimensions.However,units and dimensions and simple relationships (e.g.P E/t )form the foundation.Once students are equipped with this,they are on the road to making estimations in more complex problems and situations.Work done at the University of the PacificIn collaboration with colleagues,the author has integrated some of the above activities in the Introduction to Engineering course,which is a required course for all engineering students.Speci-fically,one formal lecture was delivered on estima-tion,followed by a homework set of six problems and mini-projects,similar to the set described in this paper.One laboratory session was also dedicated to the height estimation,followed by crude measurement,of a tall building on campus.Students actively participated in these exercises.We are hoping to continue to strengthen our coverage of estimation throughout the curricula with the goal of equipping our students with this important skill.CONCLUSIONSBased on recent survey results,it appears that engineering students are not adequately prepared to make reasonable estimations of engineering quantities.Current engineering education practice places too much emphasis on detailed analysis.For students to learn to estimate,they have to practice by doing it.Ten activities were suggested to help students in developing their estimation skills.Much more needs to be done in rectifying the current deficiency in students'ability to estimate.Acknowledgements ÐI am grateful for the encouragement I have received from Professors Rahim Khoie and Camilla Saviz in developing my ideas about estimation.Professor Ed Pejack suggested the experiment in Activity No.7.An earlier version of this paper was presented at the 2005ASEE Annual Con-ference and Exposition in Portland,Oregon,USA.REFERENCES1.B.Linder,Understanding estimation and its relation to engineering education,1999,Ph.D.Dissertation,MIT.2.B.Linder and W.C.Flowers,Students response to impromptu estimation questions,Proceedings of the 1996ASME Design Engineering Technical Conferences and Computers in Engineering Conference ,Irvine,California,1996.Fig.3.Ten orders of magnitude among power outputs of familiar biological and engineering systems.S.Shakerin2763.B.Linder and W.C.Flowers,Integrating engineering science and design:A definition and discussion,International Journal of Engineering Education ,17(4,5)2001,pp.436±439.4.The Diagram Group,Comparisons ,St.Martin's Press,New York,NY,1980.5.M.Ross and J.DeCicco,Measuring the energy drain on your car,Scientific American ,December 1994,pp.112±115.6.T.A.McMahon and J.T.Bonner,On Size and Life ,Scientific American Books,New York,NY,1983.7.R.M.Alexander,Exploring Biomechanics:Animal Locomotion ,Scientific American Library,New York,NY,1992.8.T.J.Mackin,Engineering analysis of tragedy at WTC,/content/files/collapse.asp9.H.Tennekes,The Simple Science of FlightÐFrom Insects to Jumbo Jets ,MIT Press,Cambridge,MA,1997.10.J.Kolecki,Estimation problems,/WWW/K-12/Numbers/Math/Mathematical_Thinking/index.htm11.C.E.Swartz,Back of the Envelope Physics ,Johns Hopkins University Press,Baltimore,MD,2003.12.M.M.Hofle and K.W.Bosworth,Math,engineering,and science:Applications for grades 4±8,Proceedings of the ASEE Annual Conference ,Portland,OR,2005.APPENDIX 1Estimation surveyÐPacific's Engineering Mentor III ClassesÐMarch2003The Art of Estimation277APPENDIX 2Information used to obtain estimated quantities shown in Fig.3a.Hovering large humming bird:James Lighthill,a brilliant fluid dynamics expert,estimated the poweroutput for hovering hummingbirds to be about 13W per kg of body mass based on momentum theory.A large humming bird is about 20g.b.Human heart:Pumps about 5liters of blood per minute (1/min)at about 100mm of mercury (mmHg)in pressure rise.Proper conversion factors have to be considered to perform calculation to obtain power.c.Hobby DC motor:Consult a hobby electronics catalog,for example,.Look at theDC motors and find out their power rating;e.g.,one is listed at 12V and drawing 0.75Amps.d.Light bulb:This is obvious!e.Hair dryer:Look at the name plate of a typical household hair dryer.f.3-phase motor:Consult equipment catalog,for example,.Look at medium-size3-phase motors and find out their power.g.Car engine power:Drive your car from start to a certain speed and time ing simple relations (a =ÁV/Át,F =m .a,P =F .V),determined the power,neglecting drag,etc.Or,perform calculation based on typical values:car mass =2,000lb m (%1,000kg),reaching 60mph (%30m/s)in about 10seconds.h.Electrical power for 1000homes:If your household uses 1kW of electric power all the time,yourmonthly (720hours)electric bill will show 720kW.h.i.Jet airliner power:This was shown in Activity No.8.j.Nuclear power plant output:Consult text books on thermodynamics or electric power generation orvisit PG&E web site (they might have info on their nuclear power plants).Said Shakerin is Professor of Mechanical Engineering at the University of the Pacific,where he has been since he was awarded his Ph.D.from Colorado State University in 1986.Prior to that,he was educated at Arya-Mehr (now Sharif)University of Technology in Iran,Portland State and Oregon State Universities in the USA.He is a registered professional engineer in California,and served as department chairman from 1995to 1998,but stepped down due to medical reason.S.Shakerin278。