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The optimal design of a six-bar linkage to be used in the main driving mechanism of a gear planer is discussed and treated as a multi-objective problem.To solve the minimax problem in a variable domain, a direct method of exploiting the intrinsic characteristics of the computer instead of introducing parameter constants is presented. To solve such a multi-objective problem, a modified linear weighted sum method with an additional conditional constraint is adopted and examples are provided. 本文首先讨论了在插齿机主传动机构中使用的六杆机构的优化设计问题,并建立了一个多目标数学模型.然后,提出了一种利用计算机本身特点而不引入参数约束条件的直接方法,来求解变区间中的函数极大值的极小化问题;提出了用多目标优化对可调机构的优化设计进行处理的方法;采用了一种带附加条件约束的修正线性加权方法来处理多目标优化问题.最后,对上述方法给出了应用实例和计算结果. This paper introduces a sampling and spectrum analysis system for measuring the error of mechanical gear drive chain with a single-board computer. It has been applied with success to the production and a great economical beni-fit is obtained.The technical appraisement of the system was made on 9th of December, 1983.In machinery industry, there is a problem that few instruments can bc-used in sampling and spectrum analysis for measuring the error of low frequency geat drive chain.This system was designed... This paper introduces a sampling and spectrum analysis system for measuring the error of mechanical gear drive chain with a single-board computer. It has been applied with success to the production and a great economical beni-fit is obtained.The technical appraisement of the system was made on 9th of December, 1983.In machinery industry, there is a problem that few instruments can bc-used in sampling and spectrum analysis for measuring the error of low frequency geat drive chain.This system was designed for solving the problem.The frequency range of the System is 0.5Hz-4000Hz. This system has the analog input and the BCD digital output.lt has unique high speed process ability and is convenient to use in workshop. It has low cost and is easy to popularize. It is of important Use for measuring the error of mechanical gear drive chain and spectrum analysis in precision machine tool, precision machinery and precision instrument.This high speed new measuring system is provided for examining the precision of mechanical gear drive chain or checking precision machinery before acceptance. 本文介绍一种采用单板微型机进行传动链误差采集和快速频谱分析系统。它已在生产中获得了成功的应用,收到了较好的经济效益,并于1983年12月9日通过了技术鉴定。本系统能有效地解决当前机械行业中提出的低频传动链误差采集与频谱分析,缺乏低频设备的难题。本系统频率范围是0.5Hz—4000Hz,具有模拟量输入和BCD码数字量输入,有独特的快速处理特点,使用方便,造价低廉,易于推广应用。它在精密机床、精密机械、精密仪器的传动链误差测量与频谱分析中有着重要用途。为诊断精密机械传动误差源,提高传动精度或验收精密机械,提供了一种新的快速测定系统。 The, present paper deals with the analytical determination of the axis and the angle of rotation for a retractable landing gear. To facilitate the use of computer, the socalled rotation matrix [A] about a skew axis PP is worth applying. If the coordinates of three points, say A, Band C,of a rigid body before and after rotation about an axis through point P are known, the rotation matrix [A] can be easily calculated as follows: where subscripts 1 and 2 stand for points before and after rotation respectively.... The, present paper deals with the analytical determination of the axis and the angle of rotation for a retractable landing gear. To facilitate the use of computer, the socalled rotation matrix [A] about a skew axis PP is worth applying. If the coordinates of three points, say A, Band C,of a rigid body before and after rotation about an axis through point P are known, the rotation matrix [A] can be easily calculated as follows: where subscripts 1 and 2 stand for points before and after rotation respectively. Here a simple technique for obtaining the third point C from the two given points A and B of a rigid body is introduced. Any arbitrary point on the line passing through P and perpendicular to the plane formed by two given straight lines PA and PB can be taken as the point C.In addition, some improvement in calculating the axis and the angle of rotation has been made. A numerical example of landing gear problem is included at the end of the paper.The results obtained may be applied to design of retrac-table mechanisms for antennas and sensors on spacecraft as well. 本文对用解析法确定起落架收放中转轴及转动的问题,进行一些探讨,除提出如何利用刚体绕斜轴的转动矩阵进行求解外,还对转轴和转角的某些求法进行补充。文中附有一飞机起落架收放算例。本文内容也可用于航空、航天器中一些天线、传感器等的收放设计。
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