| 粘弹性地基上考虑耦合效应四边自由矩形薄板的非线性自由振动分析 |
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| 作者姓名： | 肖勇刚 刘蓉钧 |
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| 作者单位： | 长沙理工大学土木与建筑学院,湖南长沙,410004 |
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| 摘 要： | 基于Hamilton能量变分原理和薄板的基本假设,考虑地基阻尼的影响,建立了双参数粘弹性地基上考虑耦合效应的四边自由矩形薄板的非线性自由振动方程以及板域外的控制方程.应用瑞利-里兹法及循环迭代对方程进行求解,探讨了地基阻尼、地基弹性模量以及板的结构参数对双参数粘弹性地基上四边自由矩形薄板的非线性自由振动特性的影响,得出...
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| 关 键 词： | 粘弹性地基 耦合效应 非线性振动 瑞利-里兹 循环迭代 |
Research on nonlinear free vibration for the rectangular thin plate with four edges free including the coupled effect of viscoelastic foundation |
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| Authors: | XIAO Yong-gang LIU Rong-jun |
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| Institution: | (School of Civil Engineering and Architecture,Changsha University of Science & Technology,Changsha 410004,China) |
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| Abstract: | Based on the Hamilton energy variational principle and the theory of sheet,considering coupling of double parameters viscoelastic foundation and four edges free of rectangular thin plates,the nonlinear free vibration control equations inside and outside plates are set up.The differential equations have been solved by methods of Riley-Leeds and iteration.Effects of foundation damping and elastic modulus,and the structure parameters of plates on the nonlinear free vibration characteristics of thin plates are analyzed.The relations betweeen two typical parameters of the double parameters(viscoelastic foundation and the time)are obtained. |
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| Keywords: | viscoelastic foundation coupling effect nonlinear vibration Riley-Leeds iterative |
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