| 弹性地基上四边自由矩形大挠度薄板的自由振动 |
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| 引用本文： | 杨志安,李文兰.弹性地基上四边自由矩形大挠度薄板的自由振动[J].唐山学院学报,2004,17(4):81-83. |
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| 作者姓名： | 杨志安 李文兰 |
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| 作者单位： | 1. 唐山学院,结构与振动工程实验室,河北,唐山,063000
2. 天津大学,图书馆,天津,300072 |
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| 摘 要： | 考虑具有粘滞阻尼的Winkler地基上四边自由受简谐激励的矩形板的偏微分方程组,找到了满足所有边界条件的近似挠度函数,利用Galerkin方法把偏微分方程表示的非线性动力学方程转化为用常微分方程表示的非线性动力学方程。在KBM法的基础上,引入谐波平衡的观点研究了弹性地基上四边自由无阻尼矩形板自由振动,应用Hamiltonion函数研究了系统能量与周期的关系。
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| 关 键 词： | 矩形薄板 振动 KBM法 Hamiltonion函数 |
| 文章编号： | 1672-349X(2004)04-0081-03 |
| 修稿时间： | 2004年6月24日 |
Free Vibration of Large Deflection of Rectangular Thin Plates with Four Free Edges on Elastic Foundation |
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| YANG Zhi-an,LI Wen-lan.Free Vibration of Large Deflection of Rectangular Thin Plates with Four Free Edges on Elastic Foundation[J].Journal of Tangshan College,2004,17(4):81-83. |
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| Authors: | YANG Zhi-an LI Wen-lan |
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| Institution: | YANG Zhi-an~1,LI Wen-lan~2 |
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| Abstract: | Nonlinear dynamical equation of large defletion of thin plates with four free edges on elastic foundation is established.The linear damping and harmonically excitation are considered.By using the method of Galerkin the nonlinear vibration equation is obtained.Combined the method of KBM and harmonic balance,free vibration of the system is investigated.According to Hamiltonion function,the relationship between energy and periodic of the system is studied. |
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| Keywords: | rectangular thin plate vibration the method of KBM Hamiltonion function |
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