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强非线性振动系统的相軌迹及波形图的绘制
Graphical Construction of the Phase Trajectories and Wave Forms of Strongly Nonlinear System
【摘要】 <正> 对已知强非线性振动系统的微分方程,往往需要求出它的相轨迹及波形图。编好程序之后,在电子计算机控制的绘图装置上就可绘制出来,机绘之前,应作些予备工作,即用简单的方法估计一下所绘制的相轨迹及波形图应是什么形象。掌握这些情况,则上机绘制过程中即使会出现一些问题,仍可顺利地得到解决。如果手边没有绘图装置,精心绘制,也可得到比较满意的结果。
【Abstract】 In this paper, we consider the strongly nonlinear differential equations after the existence of the limit cycles has been proved Firstly, in the phase plane we plot the phase trajectories as well as the limit cycle. Secondly, according to the coordinates of the limit cycle through simple calculation, in the t-x plane we plot the wave forms of oscillation, If we carefully plot, the satifactory result would be obtained.
- 【文献出处】 昆明工学院学报 , 编辑部邮箱 ,1984年02期
- 【被引频次】1
- 【下载频次】76