| 基于延拓方法的悬索非线性振动分析 |
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| 引用本文： | 周海兵,刘伟长. 基于延拓方法的悬索非线性振动分析[J]. 动力学与控制学报, 2008, 6(1): 73-77 |
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| 作者姓名： | 周海兵 刘伟长 |
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| 作者单位： | 湖南大学土木工程学院,长沙,410082;广东省冶金建筑设计研究院,广州,510080 |
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| 摘 要： | 研究了受谐波激励作用下悬索的非线性响应.基于索的拟静态假设,同时考虑悬索的几何非线性,首先利用Hamilton变分原理得到了悬索面内运动的非线性方程.然后把悬索的位移展开成固有模态的级数和.并利用Galerkin方法得到一个有限维的动力系统.再利用打靶法和延拓方法研究了悬索的周期运动.同时利用数值积分研究了超谐波共振区的一些非周期运动.最后讨论了激励幅值对悬索周期运动的影响.
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| 关 键 词： | 悬索 非线性振动 延拓方法 周期运动 |
| 文章编号： | 1672-6533/2008/06(l)/073-05 |
| 收稿时间： | 2007-05-30 |
| 修稿时间： | 2007-05-30 |
Nonlinear oscillations of suspended cables using the continuation method |
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| Zhou Haibing and Liu Weichang. Nonlinear oscillations of suspended cables using the continuation method[J]. Journal of Dynamics and Control, 2008, 6(1): 73-77 |
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| Authors: | Zhou Haibing and Liu Weichang |
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| Affiliation: | 1.College of Civil Engineering;Hunan University;Changsha 410082;China;2.Guangdong Metallurgical Architectural Design & Research Institute;Guangzhou 510080;China |
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| Abstract: | The dynamic response of a suspended cable subjected to a harmonic excitation was investigated.Based on the assumption of quasi-static stretching due to the fact that the transverse wave speed is much lower than the longitudinal wave speed,the nonlinear governing in-plane equation of the suspended cable was derived by means of Hamilton principle,which took into account the geometric nonlinearity of the suspended cable.And the displacement of the suspended cable was expanded in a series of the natural modes o... |
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| Keywords: | suspended cables nonlinear oscillations the continuation method periodic motion |
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