摘要
本文引入如下力学问题:等截面杆受到具有一定初速度的质点的撞击引起杆的纵向振动.根据已有文献中由DMSM方法得到的响应解,把它代回初始无量纲速度为1的已知条件,得到满足约束方程的变量的级数和,结论以数学形式表达.附录给出用符号软件验证所得结论的程序,其步骤是先求出特征根,再代入级数和表达式进行验证.
This paper introduced the following mechanicaI problem： a rod was impacted by a particle with a certain velocity. After substituting the solutions, obtained by Direct Mode Shape Superposition Method （DMSM） available in the literatures, into the known condition that the initial non -dimensional velocity was equal to 1, the sum of the series, whose variable satisfied a certain constraining equation, was obtained. The conclusion was expressed in mathematical form. In the appendix, the programs were presented to test the conclusions obtained by using symbol computation software. The first step of the programs was to calculate the eigenvalues, and then substituted the values into the left side of the equations, which verified the correctness of the conclusions.
出处
《动力学与控制学报》
2007年第3期233-237,共5页
Journal of Dynamics and Control
基金
国家自然科学基金(10572119)
教育部新世纪人才培养计划(NCET-04-0958)
大连理工大学工业装备结构分析国家重点实验室开放基金资助项目~~
关键词
级数和
撞击
杆
sum of series, impact, rod
