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| Short Matlab programs for time and frequency response of MDOF system by mode superposition methods |
| Received:July 05, 2021 Revised:July 23, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210705418 |
| KeyWord:Matlab programs time and frequency response multi-degree of freedom system(MDOF) mode superposition methods |
| Author | Institution |
| 王波平 |
美国德克萨斯大学 机械与航空工程系, 阿灵顿 76019, 美国 |
| 张君茹 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| 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. |