非线性振动系统相轨迹对应波形图的绘制方法  

Method of matlab for plotting wave forms of nonlinear vibrations system

作　　者：李邦彦[1] 高永毅[1] 

机构地区：[1]湖南科技大学物理学院,湖南湘潭411201

出　　处：《湖南科技大学学报（自然科学版）》2009年第1期125-128,共4页Journal of Hunan University of Science And Technology：Natural Science Edition

基　　金：国家自然科学基金资助项目(60572079)

摘　　要：得出了一种通过相轨迹方程,利用matlab软件绘制其对应波形图的方法.导出了相轨迹上各点时间的标定公式,通过分析实例相轨迹的形状特点,给出了其在不同区间各点时间的标定公式,通过这些公式能方便地利用matlab软件进行作图,实践操作表明,利用该方法能绘制任何形状的相轨迹方程对应的波形图,且作出的波形图精度较高.图6,参9.A method of using matlab software to plot the wave forms according to their phase locus equations is provided. First of all, the time formulas which are calculated from phase locus are deduced. And then by analyzing the example of different scopes of the phase locus which have different shape, a concrete time formula is provided for the phase locus. Through these concrete time formula, we can plot the wave forms easily by using matlab. The practice shows this method can plot the wave forms for any phase locus equations, and a accurate wave forms will be plotted if a phase locus equation is provided.

关 键 词：非线性振动 MATLAB 相轨迹 极限环 波形图绘制 

分 类 号：O322[理学—一般力学与力学基础]