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| Numerical method for stability analysis of multiple-degree-of-freedom parametric dynamic systems |
| Received:November 21, 2018 Revised:March 08, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20181121002 |
| KeyWord:parametric vibration system dynamic stability Bolotin method Floquet method eigenvalue analysis method |
| Author | Institution |
| 徐梅鹏 |
哈尔滨工业大学 航天学院, 哈尔滨 |
| 李凌峰 |
哈尔滨工业大学 航天学院, 哈尔滨 |
| 任双兴 |
哈尔滨工业大学 航天学院, 哈尔滨 |
| 侯磊 |
哈尔滨工业大学 航天学院, 哈尔滨 |
| 陈予恕 |
哈尔滨工业大学 航天学院, 哈尔滨 |
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| Abstract: |
| The study on dynamic stability of a parametric excitation system mainly focuses on the main unstable region.In order to obtain more results of the combined unstable region,the solution form of Bolotin method under different period numbers was applied with the Floquet method.Combined with the eigen value analysis method,the direct numerical solution method for determining the dynamic unstable region of the multi-dof parametric system is obtained.According to the stability analysis of a two-degree-of-freedom rotating shafting with periodic axial force,the high order unstable region is obtained with the increase of approximate terms of solution,and the boundary of each unstable region tends to be stable with the increase of approximate terms.It is found that the damping makes the boundary of each unstable region "smooth".The method can be applied for general multi-dof periodic parametric damped system and produces a simple and direct numerical solution. |