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堆垛机英文资料翻译

堆垛机英文资料翻译
堆垛机英文资料翻译

翻译

英文原文

Realization of Neural Network Inverse System with PLC in Variable Frequency Speed-Regulating System

Abstract. The variable frequency speed-regulating system which consists of an induction motor and a general inverter, and controlled by PLC is widely used in industrial field. .However, for the multivariable, nonlinear and strongly coupled induction motor, the control performance is not good enough to meet the needs of speed-regulating. The mathematic model of the variable frequency speed-regulating system in vector control mode is presented and its reversibility has been proved. By constructing a neural network inverse system and combining it with the variable frequency speed-regulating system, a pseudo-linear system is completed, and then a linear close-loop adjustor is designed to get high performance. Using PLC, a neural network inverse system can be realized in actural system. The results of experiments have shown that the performances of variable frequency speed-regulating system can be improved greatly and the practicability of neural network inverse control was testified.

1.Introduction

In recent years, with power electronic technology, microelectronic technology and modern control theory infiltrating into AC electric driving system, inverters have been widely used in speed-regulating of AC motor. The variable frequency speed-regulating system which consists of an induction motor and a general inverter is used to take the place of DC speed-regulating system. Because of terrible environment and severe disturbance in industrial field, the choice of controller is an important problem. In reference [1][2][3], Neural network inverse control was realized by using industrial control computer and several data acquisition cards. The advantages of industrial control computer are high computation speed, great memory capacity and good compatibility with

other software etc. But industrial control computer also has some disadvantages in industrial application such as instability and fallibility and worse communication ability. PLC control system is special designed for industrial environment application, and its stability and reliability are good. PLC control system can be easily integrated into field bus control system with the high ability of communication configuration, so it is wildly used in recent years, and deeply welcomed. Since the system composed of normal inverter and induction motor is a complicated nonlinear system, traditional PID control strategy could not meet the requirement for further control. Therefore, how to enhance control performance of this system is very urgent.

The neural network inverse system [4][5] is a novel control method in recent years. The basic idea is that: for a given system, an inverse system of the original system is created by a dynamic neural network, and the combination system of inverse and object is transformed into a kind of decoupling standardized system with linear relationship. Subsequently, a linear close-loop regulator can be designed to achieve high control performance. The advantage of this method is easily to be realized in engineering. The linearization and decoupling control of normal nonlinear system can realize using this method.

Combining the neural network inverse into PLC can easily make up the insufficiency of solving the problems of nonlinear and coupling in PLC control system. This combination can promote the application of neural network inverse into practice to achieve its full economic and social benefits.

In this paper, firstly the neural network inverse system method is introduced, and mathematic model of the variable frequency

speed-regulating system in vector control mode is presented. Then a reversible analysis of the system is performed, and the methods and steps are given in constructing NN-inverse system with PLC control system.

Finally, the method is verified in experiments, and compared with traditional PI control and NN-inverse control.

2.Neural Network Inverse System Control Method

The basic idea of inverse control method [6] is that: for a given system, anα-th integral inverse system of the original system is created by feedback method, and combining the inverse system with original system, a kind of decoupling standardized system with linear relationship is obtained, which is named as a pseudo linear system as shown in Fig.1. Subsequently, a linear close-loop regulator will be designed to achieve high control performance.

Inverse system control method with the features of direct, simple and easy to understand does not like differential geometry method [7], which is discusses the problems in "geometry domain". The main problem is the acquisition of the inverse model in the applications. Since non-linear system is a complex system, and desired strict analytical inverse is very difficult to obtain, even impossible. The engineering application of inverse system control doesn’t meet the expectations. As neural network has non-linear approximate ability, especially for nonlinear complexity system, it becomes the powerful tool to solve the problem.a ?th NN inverse system integrated inverse system with non-linear ability of the neural network can avoid the troubles of inverse system method. Then it is possible to apply inverse control method to a complicated non-linear system. a ?th NN inverse system method needs less system information such as the relative order of system, and it is easy to obtain the inverse model by neural network training. Cascading the NN inverse system with the original system, a pseudo-linear system is completed. Subsequently, a linear close-loop regulator will be designed.

3. Mathematic Model of Induction Motor Variable Frequency

Speed-Regulating System and Its Reversibility

Induction motor variable frequency speed-regulating system supplied by the inverter of tracking current SPWM can be expressed by 5-th order nonlinear model in d-q two-phase rotating coordinate. The model was simplified as a 3-order nonlinear model. If the delay of inverter is neglected,

the model is expressed as follows:

(1) where denotes synchronous angle frequency, and is rotate speed.

are stator’s current, and are rotor’s flux linkage in (d,q)axis. is number of poles. is mutual inductance, and is rotor’s inductance. J is moment of inertia.is rotor’s time constant, and

is load torque.

In vector mode, then

Substituted it into formula (1), then

(2) Taking reversibility analyses of forum (2), then

The state variables are chosen as follows

Input variables are

Taking the derivative on output in formula(4), then

(5)

(6) Then the Jacobi matrix is Realization of Neural Network Inverse System with PLC

(7)

(8)

As so and system is reversible. Relative-order of system is

When the inverter is running in vector mode, the variability of flux linkage can be neglected (considering the flux linkage to be invariableness and equal to the rating). The original system was simplified as an input and an output system concluded by forum (2).

According to implicit function ontology theorem, inverse system of formula (3)

can be expressed as

(9)

When the inverse system is connected to the original system in series, the pseudo linear compound system can be built as the type of

4. Realization Steps of Neural Network Inverse System

4.1 Acquisition of the Input and Output Training Samples

Training samples are extremely important in the reconstruction of neural network inverse system. It is not only need to obtain the dynamic data of the original system, but also need to obtain the static date. Reference signal should include all the work region of original system, which can be ensure the approximate ability. Firstly the step of actuating signal is given corresponding every 10 HZ form 0HZ to 50HZ, and the responses of open loop are obtain. Secondly a random tangle signal is input, which is a random signal cascading on the step of actuating signal every 10 seconds, and the close loop responses is obtained. Based on these inputs, 1600 groups

training samples are gotten.

4.2 The Construction of Neural Network

A static neural network and a dynamic neural network composed of integral is used to construct the inverse system. The structure of static neural network is 2 neurons in input layer, 3 neurons in output layer, and 12 neurons in hidden layer. The excitation function of hidden neuron is monotonic smooth hyperbolic tangent function. The output layer is composed of neuron with linear threshold excitation function. The training datum are the corresponding speed of open-loop, close-loop, first order

derivative of these speed, and setting reference speed. After 50 times

training, the training error of neural network achieves to 0.001. The weight and threshold of the neural network are saved. The inverse model of original system is obtained.

5 .Experiments and Results

5.1 Hardware of the System

The hardware of the experiment system is shown in Fig 5. The hardware system includes upper computer installed with Supervisory & Control configuration software WinCC6.0 [8], and S7-300 PLC of SIEMENS, inverter, induction motor and photoelectric coder.

PLC controller chooses S7-315-2DP, which has a PROFIBUS-DP interface and a MPI interface. Speed acquisition module is FM350-1. WinCC is connected with S7-300 by CP5611 using MPI protocol.

The type of inverter is MMV of SIEMENS. It can communicate with SIEMENS PLC by USS protocol. ACB15 module is added on the

inverter in this system.

5.2 Software Program

5.2.1 Communication Introduction

MPI (MultiPoint Interface) is a simple and inexpensive communication strategy using in slowly and non-large data transforming field. The data transforming between WinCC and PLC is not large, so the MPI protocol is chosen.

The MMV inverter is connected to the PROFIBUS network as a slave station, which is mounted with CB15 PROFIBUS module. PPO1 or PPO3 data type can be chosen. It permits to send the control data directly to the inverter addresses, or to use the system function blocks of STEP7V5.2 SFC14/15.

OPC can efficiently provide data integral and intercommunication. Different type servers and clients can access data sources of each other. Comparing with the traditional mode of software and hardware development,

equipment manufacturers only need to develop one driver. This can short the development cycle, save manpower resources, and simplify the structure of the entire control system.

Variety data of the system is needed in the neural network training of Matlab, which can not obtain by reading from PLC or WinCC directly. So OPC technology can be used l to obtain the needed data between WinCC and Exce. Setting WinCC as OPC DA server, an OPC client is constructed in Excel by VBA. System real time data is readed and writen to Excel by WinCC, and then the data in Excel is transform to Matlab for offline training to get the inverse system of original system.

5.2.2 Control Program

Used STL to program the communication and data acquisition and control algorithm subroutine in STEP7 V5.2, velocity sample subroutine and storage subroutine are programmed in regularly interrupt A, and the interrupt cycle chooses 100ms. In order to minimum the cycle time of A to prevent the run time of A exceeding 100ms and system error, the control procedure and neural network algorithm are programmed in main procedure B. In neural network algorithm normalized the training samples is need to speed up the rate of convergence by multiplying a magnification factor in input and output data before the final training.

5.3 Experiment Results

When speed reference is square wave signal with 100 seconds cycle, where the inverter is running in vector mode. The results show that the tracking performance of neural network control is better than traditional PI control.

When speed reference keeps in constant, and the load is reduced to no load at 80 seconds, and increased to full load at 120 seconds, the response curves of speed with traditional PI control and neural network inverse control are shown in Fig. 11 and 12 respectively. It is clearly that the performance of resisting the load disturbing with neural network inverse

control is better than the traditional PI control.

(Speed response in PI control)

(Speed response in neural network inverse control)

6. Conclusion

In order to improve the control performance of PLC Variable Frequency Speed-regulating System, neural network inverse system is used. A mathematic model of variable frequency speed-regulating system was given, and its reversibility was testified. The inverse system and original system is compound to construct the pseudo linear system and linear control method is design to control. With experiment, neural network inverse system with PLC has its effectiveness and its feasibility in industry

application.

中文译文

PLC变频调速的网络反馈系统的实现

摘要。变频调速系统,包括一个异步电动机和通用逆变器、且PLC控制被广泛地应用于工业领域。然而,对多变量、非线性和强耦合的异步电机的控制性能却不足,不能很好地满足客户的调速要求。该数学模型的变频调速系统提出了矢量控制方式,其可逆转性得到证实。通过构建一种基于神经网络的逆系统,并结合变频调速系统,pseudo-linear系统被完成了,并且为了得到性能优良的系统采用

了一个线性闭环调节器。采用PLC、神经网络逆系统在实际系统可以实现。实验结果表明变频调速系统的性能得到了很大的提高,并且神经网络反馈控制的可行性得到了验证。

1. 导论

近年来,随着电力电子技术、微电子技术和现代控制理论,逐渐涉及到交流电机系统,这些技术已经广泛应用于变频器调速的AC马达。变频调速系统,包括一个异步电动机和通用逆变器,用来代替直流调速系统。由于在工业领域中的糟糕的环境和严重的干扰,选择控制器是一个十分重要的问题。在文献[1][2][3],介绍了利用工业控制计算机和数据采集卡实现了神经网络反馈控制。工业控制计算机的优势有较高的计算速度,庞大的记忆能力以及与其他软件良好的兼容性等。但是工业控制计算机在工业应用上也有一些不足,比如运行不稳定,不可靠及更恶劣的通信能力。可编程序控制器(PLC)控制系统是专为工业环境中的应用而设计的,它的稳定性和可靠性好。PLC控制系统,可以很容易地集成到现场总线控制系统并得到高性能的通信结构,所以它在近年来被广泛地使用,并且深受欢迎。该系统由普通的逆变器和异步电机组成,是一种复杂的非线性系统,传统的PID控制策略,并不能满足要求和进一步控制。因此,如何加强系统的控制性能是非常迫切的事情。

神经网络逆系统[4][5], 在未来几年里将是一种新型的控制方法。其基本的想法是:对于一个给定的系统,原系统的逆系统是由一个动态神经网络引起的,对象信号和反馈信号的组合系统被转化成一种线性关系的解耦标准系统。随后,一个线性闭环调节器设计可以达到较高的控制性能。该方法的优点是在工程上很容易实现。在线性化及其解耦控制正常的非线性系统能实现采用这种方法。

把神经网络反馈结合到可编程序控制器(PLC)上就可以很容易地弥补不足的问题,解决在PLC控制系统上的非线性耦合。这个组合可以促进神经网络反馈付

诸实践,来实现其全部的经济效益和社会效益。

在这篇文章中,首先对神经网络反馈方法进行了介绍,并且描述了采用矢量控制的变频调速系统的数学模型。然后是对反馈系统进行分析的的介绍,并给出了关于PLC控制系统中构造NN-反馈系统的方法和步骤。最后,该方法在实验中被验证,并将传统的PI控制和NN-反馈控制进行了对比。

2. 神经反馈网络控制方法

基本的反馈控制方法[6]就是:对于一个给定的系统、一种α-th由反馈方法建立的完整的反馈系统,并结合反馈系统与原系统的特点,提出了一种解耦的线性关系,以标准化体系,并命名为伪线性系统。随后,一个线性闭环调节器运行并将达到较高的控制性能。

当在“几何领域”讨论这些问题时,反馈系统控制方法并不像微分几何方法,其特点是直接,简单,易于理解。主要的问题是怎样在应用软件中获得反馈模型。由于非线性系统是一个复杂的系统,所以很难要求严格解析反馈信号,这甚至是不可能的。反馈系统控制在工程应用中不能达到期望值。作为神经网络非线性逼近能力,尤其是对于非线性的复杂系统,它会是来解决问题的强大工具。反馈系统集成了具有非线性逼近能力的反馈系统,其中具有非线性逼近能力的反馈系统能够避免使用反馈方法带来的麻烦。这样就可能,运用反馈控制方法去控制一个复杂的非线性系统。a ?th NN 反馈系统的控制方法只需要较少的系统信息,比如与系统相关的命令,并且容易获得运行网络的反馈模型。原系统的层叠式的 NN 反馈系统,会形成一个伪线性系统。然后,一个线性闭环调节校准器将工作。

3. 异步电机变频调速系统的数学模型和它的反馈性能

异步电机变频调速系统提供的跟踪电流正弦脉宽调制逆变器可以表示为非线性模型在两相循环的协调。该模型简化为一个3-order非线性模型。如果忽略逆变器的延迟,该模型表述如下:

(1)

(表示同步角频率;表示转速;

表示定子的电流;表示转子在(qd)轴线上的不稳定部分;

表示点的数量;表示互感系数;表示惯性转矩;

表示转子的时间常数;表示负载转矩。)

用矢量模式,得

代进公式(1),得

(2)

可逆转性分析(2),得

(3)

(4)

可供选择的状态变量如下

输入变量

由公式(4)得出结果,得

(5)

(6)

然后雅可比矩阵

(7)

(8)

作为所以并且系统是可逆的。

相关的系统是

当变频器运行模式的变化,在矢量磁链的可以忽略的磁链(考虑到是恒定,等于等级)。原系统简化为一个输入和输出系统订立的(2)。

根据隐函数定理,公式(3)的反馈系统可以表达为:

(9)当反馈系统连续连接到原系统时,伪线性复合系统形成类型。

4. 网络反馈系统的实现步骤

4.1 输入与输出的运行样本的采集

采样对网络反馈系统的建立是极其重要的。它不仅需要获得原系统的动态数据,还需要获得了静态的数据。参考信号应该包括原始系统所有的工作范围,并确保近似。信号的欲处理的第一阶段是从每0HZ到50HZ中得到10HZ,并得到开环响应。第二阶段是混乱信号的输入,当每10秒钟出现预处理信号时,随机信号输入,并得到闭环响应。基于这些输入,将得到1600组得到运行样本。

4.2 网络的建设

静态神经网络和动态神经网络的完美组合将能构建一个反馈系统。静态神经网络的结构是由2个输入层的神经元,3个输出层的神经元和12个隐蔽层的神经元组成。隐藏神经元的激励函数是单调平滑双曲正切函数。输出层是由线性临界激励函数的神经元组成。运行数据是这些速度的开环,闭环的相对应速度和设置的参考的速度。50次运行之后,神经网络的运行错误达到0.001。神经网络的负荷和临界值被保存下来。并得到原系统的反馈模型。

5. 实验和结果

5.1 系统硬件

硬件系统包括上层监督计算机安装,控制结构软件WinCC6.0,西门子

S7-300PLC,变频器,异步电动机和光电编码器。

选择S7-315-2DP PLC控制器,它有一个PROFIBUS-DP接口和一个MPI接口。高速采集模块是FM350-1。WinCC用MPI协议被CP5611贯穿到S7-300。

这个逆变器的类型是西门子的MMV。西门子的PLC能兼容美国的协议。在这个系统上ACB15模块被增加在逆变器上。

5.2 软件编程

5.2.1 通信介绍

MPI(多点接口)是一种简单、便宜的通讯策略,运用在运行慢,非大型数据转换的场合。在WinCC与PLC之间的数据转换不是很大,所以选择MPI协议。

MMV变频器作为从动装置连接到PROFIBUS网络,并安装到CB15 PROFIBUS模块上。PPO1或PPO3的数据类型可供选择。它允许控制信号直接发送到变频地址,或者使用STEP7V5.2 SFC14/15的系统功能模块。

OPC能有效的提供完整的数据和通信能力。不同类型的服务器和客户机可以存取彼此的数据来源。比较传统的软件模式和硬件发展,设备生产商只需要培养一个操作员。这样可以缩短开发周期,节省人力资源,并简化了整个控制系统的结构。

矩阵实验室的神经网络运行需要系统各种各样数据的时候,这些数据不能从PLC或WinCC直接读取。所以OPC技术可以用来获得在WinCC和Exce之中所需的数据。设置WinCC作为OPC DA的服务器,一个OPC客户将被很好的建立关于VBA。系统的实时数据被WinCC读取并写到Excel上,然后Excel上的数据被转换到矩阵实验室为

在离线运行时获得原系统的反馈系统。

5.2.2控制程序

通常用STEP7 V5.2的标准模板库来对通讯,数据采集和控制算法进行编程,速度采样程序和存储程序被编程为有规律的中断程序A,中断周期为100毫秒。为了阻止程序A运行时间超过100毫秒,减小程序的运行周期和系统错误,控制步骤和神经网络算法被编程为主程序B。

神经网络算法标准化对运行采样来说是必要的以便加快信号收集速度,在最终运行之前输入和输出信号乘以一个放大系数。

5.3 实验结果

当速度参照是100秒每周期的方波信号时,逆变器运行的是矢量模式。结果表明,神经网络控制的跟踪性能均优于传统的常规PI控制。

当速度参照保持恒定时,经过80秒时间,负荷降低到没有负荷,经过120秒时间,负荷增加到满负荷,所以在传统控制下的速度响应曲线和网络反馈控制下的速度响应曲线如下图所示。很明显,在稳定性能上,网络反馈控制的负载扰动优于传统的PI控制的负载扰动。

(PI控制下的速度响应)(网络反馈控制下的速度响应)

6. 结论

为了改善PLC变频调速系统的控制性能,因而神经网络反馈系统被使用。并给出了一个变频调速系统的数学模型,且其可逆转性得到了检验。反馈系统和原系统被组合并构建成伪线性系统,并设计了线性控制的方法进行控制。通过实验,PLC神经网络的反馈系统在工业应用中具有有效性和可行性的到了验证。

英文论文及中文翻译

International Journal of Minerals, Metallurgy and Materials Volume 17, Number 4, August 2010, Page 500 DOI: 10.1007/s12613-010-0348-y Corresponding author: Zhuan Li E-mail: li_zhuan@https://www.doczj.com/doc/a94403753.html, ? University of Science and Technology Beijing and Springer-Verlag Berlin Heidelberg 2010 Preparation and properties of C/C-SiC brake composites fabricated by warm compacted-in situ reaction Zhuan Li, Peng Xiao, and Xiang Xiong State Key Laboratory of Powder Metallurgy, Central South University, Changsha 410083, China (Received: 12 August 2009; revised: 28 August 2009; accepted: 2 September 2009) Abstract: Carbon fibre reinforced carbon and silicon carbide dual matrix composites (C/C-SiC) were fabricated by the warm compacted-in situ reaction. The microstructure, mechanical properties, tribological properties, and wear mechanism of C/C-SiC composites at different brake speeds were investigated. The results indicate that the composites are composed of 58wt% C, 37wt% SiC, and 5wt% Si. The density and open porosity are 2.0 g·cm–3 and 10%, respectively. The C/C-SiC brake composites exhibit good mechanical properties. The flexural strength can reach up to 160 MPa, and the impact strength can reach 2.5 kJ·m–2. The C/C-SiC brake composites show excellent tribological performances. The friction coefficient is between 0.57 and 0.67 at the brake speeds from 8 to 24 m·s?1. The brake is stable, and the wear rate is less than 2.02×10?6 cm3·J?1. These results show that the C/C-SiC brake composites are the promising candidates for advanced brake and clutch systems. Keywords: C/C-SiC; ceramic matrix composites; tribological properties; microstructure [This work was financially supported by the National High-Tech Research and Development Program of China (No.2006AA03Z560) and the Graduate Degree Thesis Innovation Foundation of Central South University (No.2008yb019).] 温压-原位反应法制备C / C-SiC刹车复合材料的工艺和性能 李专,肖鹏,熊翔 粉末冶金国家重点实验室,中南大学,湖南长沙410083,中国(收稿日期:2009年8月12日修订:2009年8月28日;接受日期:2009年9月2日) 摘要:采用温压?原位反应法制备炭纤维增强炭和碳化硅双基体(C/C-SiC)复合材

英文翻译模板-(户口本全本)

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relationship of family members, and it is the main reference for the censor and checkup of domiciliary register which is undertaking by the household registration authority. When the functionary of household registration authority censor and verify the household register, the householder and members of this family shall take the initiative in presenting the household register. 2.The householder shall take the household register in safekeeping; the household register is prohibited to be altered, transferred and leased. When the household register is lost, the household registration authority should be informed. 3.The right for registering the household register shall be performed by the household registration authority; any other unit and individual shall not make any records on the booklet. 4.The member of this family shall go to the household registration authority for transacting the declaration and registration, applying bring with the booklet, in case of the increase and decrease of the members and the alteration of registration items. 5.In case of that the whole family moves out of the residency, the household register shall be turned in and cancelled. Record of Dwelling Address Alteration

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完整户口本英文翻译模板

ANNOUNCEMENTS 1.Household register has the legal validity that certifies the attorneyship of a citizen and the relationship of family members, and it is the main reference for the censor and checkup of domiciliary register which is undertaking by the household registration authority. When the functionary of household registration authority censor and verify the household register, the familia and members of this family shall take the initiative in presenting the household register. 2.The familia shall take the household register in safekeeping, the household register is prohibited to be alterred, transferred and leased. In case of that the household register is lost, the household registration authority should be informed. 3.The right for registering the household register shall be performed by the household registration authority, any other unit and individual shall not make any records on the booklet. 4.The member of this family shall go to the household registration authority for transacting the declaration and registration, applying bring with the booklet, in case of the increase and decrease of the members and the alteration of registration items. 5.In case of that the whole family moves out of the residency, the Household register shall be turned in and cancelled.

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例1.Winners do not dedicate their lives to a concept of what they imagine they should be, rather, they are themselves and as such do not use their energy putting on a performance, maintaining pretence and manipulating(操纵) others . They are aware that there is a difference between being loved and acting loving, between being stupid and acting stupid, between being knowledgeable and acting knowledgeable. Winners do not need to hide behind a mask. 1.dedicate to 把时间,精力用于 2.pretence 虚伪,虚假 6 .1 斤斤于字比句次,措辞生硬 例2.Solitude is an excellent laboratory in which to observe the extent to which manners and habits are conditioned by others. My table manners are atrocious( 丑恶)—in this respect I've slipped back hundreds of years in fact, I have no manners whatsoever(完全,全然). If I feel like it, I eat with my fingers, or out of a can, or standing up —in other words, whichever is easiest. 孤独是很好的实验室,正好适合观察一个人的举止和习惯在多大程度上受人制约。如今我吃东西的举止十分粗野;这方面一放松就倒退了几百年,实在是一点礼貌也没有。我高兴就用手抓来吃,(eat out of a can)开个罐头端着吃,站着吃;反正怎么省事就怎么吃。 3.Whatsoever 完全,全然 1.Be conditioned by 受……制约 2.Atrocious 丑恶 6 .2 结构松散,表达过于口语化 例3.有一次,在拥挤的车厢门口,我听见一位男乘客客客气气地问他前面的一位女乘客:“您下车吗?”女乘客没理他。“您下车吗?”他又问了一遍。女乘客还是没理他。他耐不住了,放大声问:“下车吗?”,那女乘客依然没反应。“你是聋子,还是哑巴?”他急了,捅了一下那女乘客,也引起了车厢里的人都往这里看。女乘客这时也急了,瞪起一双眼睛,回手给了男乘客一拳。(庄绎传,英汉翻译教程,1999 :练习 3 ) 译文1:Once at the crowded door of the bus, I heard a man passenger asked politely a woman passenger before him: “Are you getting off?” The woman made no

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