Matlab编程实现求解基于振型叠加法的多自由度动力学系统的时域和频域响应

给出了求解多自由度动力学系统响应的M atlab程序,这些程序基于振型叠加法可用于求解由质量矩阵M和刚度矩阵K以及常见阻尼矩阵描述的线性离散系统的时域和频域解.对于无阻尼系统,用户可以选择数值解或符号解析解(以时间或频率表示),并利用复模态叠加法计算了阻尼系统的数值解.总结了模态叠加方法下动力学响应的求解,并在简短的M...

Short Matlab programs for time and frequency response of MDOF system by mode superposition methods

Matlab programs for vibration responses analysis are presented in this paper. These programs can be used for time and frequency domain solution of linear discrete systems described by mass, stiffness matrices M and K and general viscous damping matrix. Mode superposition formulations are used to compute the solutions. For undamped systems, the user can select either numerical or symbolic solutions(in terms of time or frequency). Numerical solutions are computed for damped system via superposition of complex modes. Mode superposition methods are summarized and implemented in several short Matlab programs. Various cases of a three degrees-of-freedom system and a cantilever beam model are used to illustrate the application of the programs. These programs can also be used in industrial application by post-processing mass and stiffness matrixes generated by commercial finite element package to produce time or frequency response of interest.