| 一种分段线性边界条件连续体振动响应求解方法 |
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| 引用本文： | 卫洪涛,孔宪仁,王本利,张相盟.一种分段线性边界条件连续体振动响应求解方法[J].航空学报,2011,32(12):2236-2243. |
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| 作者姓名： | 卫洪涛 孔宪仁 王本利 张相盟 |
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| 作者单位： | 哈尔滨工业大学航天学院,黑龙江哈尔滨,150001 |
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| 基金项目： | “微小型航天器系统技术”长江学者创新团队发展计划(IRT0520)~~ |
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| 摘 要： | 基于振型转换的思想,提出了一种求解分段线性边界条件,以及可将其他非线性边界条件转化为分段线性边界条件的连续体振动问题的方法——相对振型转换法(Relative Mode Transfer Method,RMTM),用该法研究了端点带双阻挡悬臂梁的非线性振动.利用相对振型转换法处理了梁的接触振型与非接触振型的振动转换,与...
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| 关 键 词： | 模态分析 梁 分段线性边界条件 非线性振动 混沌运动 |
| 收稿时间： | 2011-04-20; |
An Approach for Vibration Analysis of Continuous Systems with Piecewise-linear Boundary Conditions |
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| WEI Hongtao,KONG Xianren,WANG Benli,ZHANG Xiangmeng.An Approach for Vibration Analysis of Continuous Systems with Piecewise-linear Boundary Conditions[J].Acta Aeronautica et Astronautica Sinica,2011,32(12):2236-2243. |
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| Authors: | WEI Hongtao KONG Xianren WANG Benli ZHANG Xiangmeng |
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| Institution: | WEI Hongtao,KONG Xianren,WANG Benli,ZHANG Xiangmeng School of Astronautics,Harbin Institute of Technology,Harbin 150001,China |
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| Abstract: | A new approach named the relative mode transfer method(RMTM) is developed in this study to solve the vibration problem of continuous systems with piecewise-linear boundary conditions or other nonlinear boundary conditions which can be transformed into piecewise-linear boundary conditions based on the mode transfer principle.The nonlinear vibration of a cantilever with double stops on the tip is investigated.The transfer between the contact states and non-contact states is dealt with using the new method,and... |
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| Keywords: | modal analysis beam piecewise-linear boundary condition nonlinear vibration chaotic vibration |
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