| 矩形变截面梁横向振动自振频率的传递函数渐近解法 |
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| 引用本文： | 冯志刚,周建平.矩形变截面梁横向振动自振频率的传递函数渐近解法[J].强度与环境,1998(1). |
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| 作者姓名： | 冯志刚 周建平 |
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| 作者单位： | 国防科技大学航天技术系!湖南长沙，410073 |
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| 基金项目： | 国家自然科学基金!19572027，国家教委归国留学人员基金，国防科技大学校预研基金 |
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| 摘 要： | 分析具有固定宽度而高度成线性分布的楔形梁。引入状态变量将模形梁的自由振动控制方程及边界方程写成状态空间形式。定义小参数，并利用摄动方法，得到常系数微分方程，从而得到问题的摄动解。最后给出了一些数值算例，验证了方法的可行性。
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| 关 键 词： | 梁 ~ 横向振动 自由振动 传递函数 摄动理论 |
The Asymptotic Method For Free Vibration Analysis of Wedge Beam by Distributed Transfer Function Method |
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| Feng Zhigang ,Zhou Jianping.The Asymptotic Method For Free Vibration Analysis of Wedge Beam by Distributed Transfer Function Method[J].Structure & Environment Engineering,1998(1). |
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| Authors: | Feng Zhigang Zhou Jianping |
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| Abstract: | The free vibration of the wedge beam with constant width and linear variab1e depth is presented in this paper. The linear partial differential equation and the inhomogeneous boundary conditions have been cast into a state space form in the Laplace domain. Choosing the sma1l parameter B as a perturbation parameter, the asymptotic solutions of the free vibration frequency and eigenfunction are determined by the state space technique and the transfer function method. Numerical examples are provided to illustrate the efficiency of the method and the results are compared with that of the finite element method. |
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| Keywords: | Beam ~ Transverse vibration Free vibration Transfer function Perturbation theory |
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