| 约束阻尼悬臂梁瞬态响应近似解析解与实验分析 |
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| 引用本文： | 胡明勇,王安稳,章向明.约束阻尼悬臂梁瞬态响应近似解析解与实验分析[J].应用数学和力学,2010,31(11):1287-1296. |
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| 作者姓名： | 胡明勇 王安稳 章向明 |
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| 作者单位： | 海军工程大学理学院,武汉430033 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用弹性悬臂梁模态叠加构造出约束阻尼悬臂梁的振动模态，基于Lagrange方程推导出了约束阻尼悬臂梁的控制方程，求解了在集中力突然卸载的情况下约束阻尼悬臂梁的动力响应．计算并测试了一系列铝合金约束阻尼悬臂梁模型的振动频率和瞬态响应，分析了阻尼层材料参数对铝合金约束悬臂梁瞬态响应时间的影响．采用了解析法以及实验法两种方法，结果表明，所采用的方法是可靠的．
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| 关 键 词： | 约束阻尼 悬臂梁 瞬态响应 Lagrange方程 模态叠加 |
| 收稿时间： | 1900-01-01 |
Approximate Analytical Solutions and Experimental Analysis of Transient Response of Constrained Damping Cantilever Beam |
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| HU Ming-yong,WANG An-wen,ZHANG Xiang-ming.Approximate Analytical Solutions and Experimental Analysis of Transient Response of Constrained Damping Cantilever Beam[J].Applied Mathematics and Mechanics,2010,31(11):1287-1296. |
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| Authors: | HU Ming-yong WANG An-wen ZHANG Xiang-ming |
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| Institution: | College of Science, Naval University of Engineering, Wuhan 430033, P. R. China |
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| Abstract: | Vibration mode of constrained damping cantilever was built up according to elastic cantilever beam mode superposition.Then the control equation of constrained damping cantilever beam was derived by using Lagrange's equation.Dynamic response of the constrained damping cantilever beam was obtained according to the principle of virtual work,when the concentrated force was suddenly unloaded.Frequencies and transient response of a series of constrained damping cantilever beam were calculated and tested.The influ... |
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| Keywords: | constrained damping cantilever beam transient response Lagrange's equation modes superposition |
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