| 引用本文: | 李恩奇,唐国金,雷勇军,等.约束层阻尼板动力学问题的传递函数解.[J].国防科技大学学报,2008,30(1):5-9.[点击复制] |
| LI Enqi,TANG Guojin,LEI Yongjun,et al.Dynamic Analysis of Constrained Layer Damping Plate by the Transfer Function Method[J].Journal of National University of Defense Technology,2008,30(1):5-9[点击复制] |
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| 约束层阻尼板动力学问题的传递函数解 |
| 李恩奇, 唐国金, 雷勇军, 李道奎 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 采用传递函数方法对约束层阻尼板进行了动力学分析。使用Hamilton原理得到了约束层阻尼板的运动方程和边界条件，对未知位移进行级数展开，引入状态向量，使用分布参数传递函数方法建立系统的状态空间方程进行求解，分析了四边简支板的自由振动和频率响应问题，得到了板的固有频率、损耗因子和频响曲线。算例的计算结果与NASTRAN计算结果相比吻合良好。 |
| 关键词: 传递函数方法 约束层阻尼板 黏弹性 动力学分析 |
| DOI： |
| 投稿日期：2007-03-05 |
| 基金项目:国家“863”计划资助项目(2002AA01006) |
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| Dynamic Analysis of Constrained Layer Damping Plate by the Transfer Function Method |
| LI Enqi, TANG Guojin, LEI Yongjun, LI Daokui |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The dynamic problem of constrained layer damping (CLD) plate was investigated with the transfer function method in this paper. The equations of motion and the boundary conditions were derived by using the Hamilton principle. Then the unknown displacements were expressed in Fourier series. With the introduction of the state vector, the governing equation in state space was established by the distributed parameter transfer function method. The closed-form solutions of natural frequencies, loss factors and curves of frequency response of a simply supported CLD plate were obtained. Numerical predictions of this paper agreed very well with the results of NASTRAN. |
| Keywords: transfer function method constrained layer damping plate viscoelasticity dynamics analysis |
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