力学与实践 ›› 2010, Vol. 32 ›› Issue (3): 118-119.DOI: 10.6052/1000-0879-2008-278

• 教育研究 • 上一篇    下一篇

MATLAB在运动学中的应用

阚文彬 李彤 叶纯杰   

  1. 华东理工大学(上海市梅陇路130号)
  • 收稿日期:2008-05-21 修回日期:2008-12-08 出版日期:2010-06-08 发布日期:2010-06-08

Application of MATLAB to Kinetics

KAN Wen-Bin LI tong YE Chunjie   

  • Received:2008-05-21 Revised:2008-12-08 Online:2010-06-08 Published:2010-06-08

摘要: 仿真处理了著名的PASCAL摆线问题,并求解了摆线的运动学参 数(以矩阵形式输出);仿真一个很难凭空想象其绝对运动轨迹的点的合成运动,并用编制的 通用程序探索它的美妙轨迹;仿真了椭圆尺规机构的运动过程. 仿真结果可作为教学演 示,使抽象的力学生动活泼起来.

关键词: 运动学, MATLAB, 摆线, 点的合成运动, 曲尺规

Abstract: The methodology of the paper is coherent, i.e., seeking problems from instruction, using mechanical analysis as a dominant method, based on which to design procedure algorithms, aided with high-efficient computing software MATLAB, meditating further on nature of the problems according to the simulating results. It solved the problem of the famous PASCAL's cycloid, of which the kinetics parameters is outputted in form of a matrix; and it solved a case of resultant motion whose absolute kinetics trajectory is unimaginable, by programming a general-purpose procedure to probe on its charming trajectory. This paper also solved the simulation of an ellipse-generating mechanism. All the procedures the paper presented can be utilized to visualize the abstract mechanics for the purpose of instructional presentations.

Key words: kinetics, Matlab, cycloid, resultant motion of point, ellipse-generating mechanism