| 复杂梁动力问题的近似分析方法 |
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| 引用本文： | 楼梦麟 吴京宁. 复杂梁动力问题的近似分析方法[J]. 力学季刊, 1997, 18(3): 234-240 |
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| 作者姓名： | 楼梦麟 吴京宁 |
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| 作者单位： | 同济大学结构理论研究所，同济大学结构理论研究所 上海 200092，上海 200092 |
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| 基金项目： | 大连理工大学海岸，近海工程国家重点实验室资助 |
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| 摘 要： | 本文介绍了在各种复杂条件下，分析梁振动特性的一个近似方法－模态摄动法。这一方法是在等截面均匀梁的模态子空间内实施，将复杂梁的变系数微分方程的求解转化为代数方程组的求解。通过算例，表明这一方法简单实用，且有良好的近似性。
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| 关 键 词： | 复杂梁 动力特性 模态摄动法 弯曲振动 |
AN APPROACH TO SOLVE DYNAMIC PROBLEMS OF COMPLICATED BEAMS |
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| Lou Menglin Wu Jingning. AN APPROACH TO SOLVE DYNAMIC PROBLEMS OF COMPLICATED BEAMS[J]. Chinese Quarterly Mechanics, 1997, 18(3): 234-240 |
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| Authors: | Lou Menglin Wu Jingning |
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| Abstract: | In this paper, a method is developed, which may be called the method of mode perturbation, to analyze the characteristics of vibration of complicated beams. In this method, an approximate solution using the analytical mode functions of the uniform beam with undetermined coefficients is substituted into the governing differential equation which has coefficients of variables of the problem such that through a solution of the algebraic equations of the undetermined coefficients may solve the problem. It is shown in several numerical examples that this method is simple, practicable and owns good precision. |
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| Keywords: | complicated beams dynamic characteristics mode perturbation. |
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