| 大运动柔性梁非线性动力响应分析 |
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| 引用本文： | 吴国荣,钟伟芳,李美之,梁以德.大运动柔性梁非线性动力响应分析[J].振动与冲击,2005,24(1):1-3. |
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| 作者姓名： | 吴国荣 钟伟芳 李美之 梁以德 |
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| 作者单位： | 福建工程学院土木系,福州,350007;华中科技大学力学系,武汉,430074;香港城市大学建筑系,香港 |
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| 摘 要： | 分析了发生横、纵振动的大运动梁的非线性动力响应,引用梁横向和纵向振动的精确模态描述变形场,利 用拉格朗日方程建立了运动梁刚柔耦合非线性动力学方程。该非线性方程自动计及了动力刚化的影响。基于Newmark 直接积分法和Newton Raphson迭代法,给出了求解该非线性方程的数值方法。仿真算例证明了本文方法的正确性和有 效性。
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| 关 键 词： | 柔性梁 非线性 动力学 数值模拟 |
| 修稿时间： | 2003年4月30日 |
Nonlinear Dynamic, Analysis of Flexible Beam Undergoing Large Global Motion |
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| Wu Guorong,Zhong Weifang,Li Meizhi,Liang Yide.Nonlinear Dynamic, Analysis of Flexible Beam Undergoing Large Global Motion[J].Journal of Vibration and Shock,2005,24(1):1-3. |
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| Authors: | Wu Guorong Zhong Weifang Li Meizhi Liang Yide |
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| Affiliation: | Wu Guorong 1 Zhong Weifang 2 Li Meizhi 2 Liang Yide 3 |
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| Abstract: | The nonlimear dynamic response of flexible beam undergoing Large global motion is investigated.The deformation field of beam is described by using its exact transverse vibration modes and longitudinal vibration modes .The coupled nonlimear equation which takes into account the stiffening effect is derived by applying the Lagrange equation for the moving beam .Based on the Newmark direct integration method and the Newton-Raphson iteration method,the computational procedures of the numerical method for solving the nonlimear equation are presented . The simulation examples demonstrate the correctness and efficiency of the present method. |
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| Keywords: | flexible beam nonlinear dynamics numerical simulation |
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