凸轮轮廓设计—解析法
- 格式:ppt
- 大小:1.81 MB
- 文档页数:19


解析法设计滚子凸轮机构
1,由选定的运动规律确定从动件位移s
1112233134.6(-sin(2)) 0136234.6 13618017.317.3[1cos()] 180240217.3 24027017.3[1cos()] 27033020ssss 330360(1)
1233361361806027060t(2)
(2)的simulink模型:(Ramp模块中Slope为ω=336;thet ,thet_1,thet_2,thet_3代表θ,θ1,θ2,θ3,命名为(2))
(1)中s1,s2,s3的simulink模型(分别命名为s1,s2,s3)
(1)的整体模型(命名为(1)) 2,确定凸轮基圆半径
压力角与基圆半径的公式:(用v表示类速度)
220-etan=s+r-e
求解基圆半径的公式:(用v表示类速度)
2222/r0--tan[]tan[]dsdeesese
由于存在tan0的情况,采用上式计算存在一些问题,得不到最小的基圆半径。
因而采用试算和校核的方法(以5为增量,依次增加r0),求最小的基圆半径。
以5mm为增量,依次增加r0,直至最大压力角小于30度
计算的Simulink模型:
取[α]=30o,对两个推程
运行结果:(在临界值附近的两次运行结果)
在r0为20mm时:
在r0为25mm时:
得到最小的基圆半径(以5mm为增量时)为25mm,可取基圆半径r0=55mm,此时压力角曲线:
解析法设计凸轮Ⅱ的实际轮廓曲线代码:
Private Sub Command1_Click()
Form2.Show '焦点出现form2
End Sub
Private Sub Command1_Click()
Dim l1, l2, l3 As Single
Form2.Picture2.Scale (-0.1, 400)-(7, -400)
l1 = -Abs(Form2.Picture1.ScaleHeight / Form2.Picture1.ScaleWidth)
l3 = -Abs(Form2.Picture3.ScaleHeight / Form2.Picture3.ScaleWidth) '定义两个图框的高宽比
Form2.Picture1.ScaleWidth = 9.5
Form2.Picture3.ScaleWidth = 150 '设定图框的长度
Form2.Picture1.ScaleHeight = l1 * Form2.Picture1.ScaleWidth
Form2.Picture3.ScaleHeight = l3 * Form2.Picture3.ScaleWidth
Form2.Picture1.ScaleLeft = -0.1
Form2.Picture3.ScaleLeft = -70
Form2.Picture1.ScaleTop = 7
Form2.Picture3.ScaleTop = 63 '规定高度的起点
Dim dt1, dt2, dt3, dt4, dt5, s1, v1, s2, v2, k1, s0 As Single
Dim n, m As Integer
Dim h, e As Integer
Dim dt6, dt7, dt8, dt9, dt10, dt11, x1, y1, x2, y2, r As Single
Dim x3, y3, x4, y4, rg '定义各种量
推程角25回程角20升距347.0300.00047.03047.0347.0310.01747.14880.82286002147.1416247.0320.03547.26761.6496154547.2388147.0330.05247.38642.48001255747.3214647.0340.07047.50523.31379523747.3894847.0350.08747.6244.15070509347.4427847.0360.10547.74284.99048151647.4812647.0370.12247.86165.83286176647.5048547.0380.14047.98046.67758105347.5134647.0390.15748.09927.52437262147.5070247.03100.17548.2188.37296783147.4854647.03110.19248.33689.22309624847.4487247.03120.20948.455610.0744857347.3967347.03130.22748.574410.9268624947.3294447.03140.24448.693211.7799512547.246847.03150.26248.81212.6334752347.1487747.03160.27948.930813.4871563347.035347.03170.29749.049614.3407151746.9063747.03180.31449.168415.1938711946.7619347.03190.33249.287216.0463427446.6019647.03200.34949.40616.897847246.4264547.03210.36749.524817.7481010346.2353847.03220.38449.643618.5968198846.0287447.03230.40149.762419.4437187145.8065347.03240.41949.881220.2885118445.5687447.03250.43650.0321.1435916345.3425847.03260.45450.0321.9317084744.9666747.03270.47150.0322.713144744.5770647.03280.48950.0323.4876622944.1738747.03290.50650.0324.255025343.7572247.03300.52450.0325.01543.3272547.03310.54150.0325.7673548942.8840847.03320.55950.0326.5118607942.4278547.03330.57650.0327.2482909241.9586947.03340.59350.0327.9764209641.4767547.03350.61150.0328.6960291140.9821847.03360.62850.0329.4068961740.4751247.03370.64650.0330.1088056139.9557347.03380.66350.0330.8015436139.4241847.03390.68150.0331.4848991638.8806147.03400.69850.0332.1586641138.325247.03410.71650.0332.8226332237.7581247.03420.73350.0333.4766042437.17954凸轮的轮廓曲线47.03430.75050.0334.1203779536.5896347.03440.76850.0334.7537582735.9885747.03450.78550.0335.3765522635.3765547.03460.80350.0335.9885702134.7537647.03470.82050.0336.5896256934.1203847.03480.83850.0337.1795356233.476647.03490.85550.0337.758120332.8226347.03500.87350.0338.3252034932.1586647.03510.89050.0338.8806124531.484947.03520.90850.0339.42417830.8015447.03530.92550.0339.9557345730.1088147.03540.94250.0340.4751202329.406947.03550.96050.0340.9821767828.6960347.03560.97750.0341.4767497527.9764247.03570.99550.0341.9586885127.2482947.03581.01250.0342.4278462526.5118647.03591.03050.0342.8840800525.7673547.03601.04750.0343.3272509525.01547.03611.06550.0343.7572239524.2550347.03621.08250.0344.1738680723.4876647.03631.10050.0344.5770564122.7131447.03641.11750.0344.9666661421.9317147.03651.13450.0345.3425785921.1435947.03661.15250.0345.7046792520.3490347.03671.16950.0346.0528578219.5482847.03681.18750.0346.3870082418.7415747.03691.20450.0346.7070287417.9291547.03701.22250.0347.0128218217.1112747.03711.23950.0347.3042943416.2881747.03721.25750.0347.5813575115.4601247.03731.27450.0347.8439269414.6273647.03741.29250.0348.0919226513.7901447.03751.30950.0348.3252690912.9487247.03761.32650.0348.5438951912.1033547.03771.34450.0348.7477343411.254347.03781.36150.0348.9367244610.4018247.03791.37950.0349.110807999.54617447.03801.39650.0349.269931888.68761847.03811.41450.0349.414047687.82641647.03821.43150.0349.543111486.9628347.03831.44950.0349.657083976.09712347.03841.46650.0349.755930435.22955947.03851.48450.0349.839620754.36040247.03861.50150.0349.908129433.48991647.03871.51850.0349.961435622.61836847.03881.53650.0349.999523081.74602247.03891.55350.0350.022380190.87314447.03901.57150.0350.033.06E-1547.03911.58850.0350.02238019-0.8731447.03921.60650.0349.99952308-1.7460247.03931.62350.0349.96143562-2.6183747.03941.64150.0349.90812943-3.4899247.03951.65850.0349.83962075-4.360447.03961.67650.0349.75593043-5.2295647.03971.69350.0349.65708397-6.0971247.03981.71050.0349.54311148-6.9628347.03991.72850.0349.41404768-7.8264247.031001.74550.0349.26993188-8.6876247.031011.76350.0349.11080799-9.5461747.031021.78050.0348.93672446-10.401847.031031.79849.90419K-5.48948.6251523-11.22647.031041.81549.80839C12.74248.32886513-12.049747.031051.83349.7125848.01866554-12.866647.031061.85049.6167747.69470451-13.676247.031071.86849.5209747.35713697-14.478547.031081.88549.4251647.00612171-15.273247.031091.90249.3293546.64182132-16.060147.031101.92049.2335546.26440211-16.838947.031111.93749.1377445.87403407-17.609447.031121.95549.0419445.47089078-18.371447.031131.97248.9461345.05514933-19.124847.031141.99048.8503244.6269903-19.869247.031152.00748.7545244.18659762-20.604547.031162.02548.6587143.73415856-21.330647.031172.04248.562943.26986361-22.047147.031182.05948.467142.79390643-22.753947.031192.07748.3712942.30648378-23.450947.031202.09448.2754841.80779541-24.137747.031212.11248.1796841.29804404-24.814447.031222.12948.0838740.77743523-25.480647.031232.14747.9880640.24617732-26.136247.031242.16447.8922639.70448137-26.78147.031252.18247.7964539.15256105-27.414947.031262.19947.7006538.59063258-28.037747.031272.21747.6048438.01891464-28.649347.031282.23447.5090337.43762831-29.249547.031292.25147.4132336.84699696-29.838147.031302.26947.3174236.24724616-30.415147.031312.28647.2216135.63860365-30.980247.031322.30447.1258135.02129921-31.533347.031332.32147.0334.39556459-32.074447.031342.33947.0333.83055081-32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第三节 盘形凸轮廓线的设计
当根据工作要求和结构条件选定了凸轮机构的类型、从动件的运动规律和凸轮的基圆半径(其确定将在下节中介绍)等结构参数后,就可以设计凸轮的轮廓曲线。凸轮廓线的设计方法有图解法和解析法,其设计原理基本相同。本节先简要介绍图解法,后重点介绍解析法设计凸轮廓线。
一、凸轮廓线设计的基本原理
图4-13 反转法设计凸轮廓线基本原理
图4-13所示为一尖顶对心盘形凸轮机构,设凸轮以等角速度逆时针转动,推动从动件2在导路中上、下往复移动。当从动件处于最低位置时,凸轮轮廓曲线与从动件在A点接触,当凸轮转过1角时,凸轮的向径AA0将转到AA0位置,而凸轮轮廓将转到图中虚线所示的位置。从动件尖端从最低位置A上升至B,上升的位移为BAS1,这是从动件的运动位移。
若设凸轮不动,从动件及其运动的导路一起绕A0点以等角速度-转过1角,从动件将随导路一起以角速度-转动,同时又在导路中作相对导路的移动,如图中的虚线位置,此时从动件向上移动的位移为BA1。而且,11SBABA,即在上述两种情况下,从动件移动的距离不变。由于从动件尖端在运动过程中始终与凸轮轮廓曲线保持接触,所以从动件尖端的运动轨迹即为凸轮轮廓。设计凸轮廓线时,可由从动件运动位移先定出一系列的B点,将其连接成光滑曲线,即为凸轮廓线。
由于这种方法是假设凸轮固定不动而使从动件连同导路一起反转,故称为反转法。对其它类型的凸轮机构,也可利用反转法进行分析和凸轮廓线设计。
二、图解法设计凸轮廓线
1. 移动从动件盘形凸轮廓线的设计
(1)尖端从动件 图4-14a所示为一偏置移动尖端从动件盘形凸轮机构。设已知凸轮的基圆半径为br,从动件导路偏于凸轮轴心A0的左侧,偏距为e,凸轮以等角速度顺时针方向转动。从动件的位移曲线如图4-14b所示,试设计凸轮的轮廓曲线。
图4-14 尖端从动件盘形凸轮廓线设计
依据反转法原理,具体设计步骤如下。