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粘弹性地基上粘弹性地基板的自由振动解析
FREE VIBRATION ANALYSIS OF VISCOELASTIC FOUNDTION PLATE ON VISCOELASTIC FOUNDATION
【摘要】 推出了Winker粘弹性地基上Maxwell,Kelvin和三元件3种粘弹性薄板在时间域上的动力学方程,给出了Kelvin粘弹性地基上Maxwell模型和三元件模型矩形薄板的固有频率的解析解,并对振动特性进行了分析和比较,最后给出了算例和结果分析。
【Abstract】 Based on Maxwell,Kelvin,three elements models of viscoelastic foundations,the free vibration equations of viscoelastic foundation plate on viscoelastic foundations are derived. And the analytical solutions to the natural frequencies are given for viscoelastic rectangular plates of Kelvin and three elements models on Kelvin viscoeastic foundations. Their dynamic behaviors are analyzed and compared for different models. Example and conclusions are given in the end.
【关键词】 粘弹性板;
粘弹性地基;
自由振动;
动力特性;
解析解;
【Key words】 viscoelastic plate; viscoelastic foundation; free vibration; dynamic behaviors; analytical solutions;
【Key words】 viscoelastic plate; viscoelastic foundation; free vibration; dynamic behaviors; analytical solutions;
- 【文献出处】 岩石力学与工程学报 ,Chinese Journal of Rock Mechanics and Engineering , 编辑部邮箱 ,2002年01期
- 【分类号】TU348
- 【被引频次】17
- 【下载频次】333