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粘弹性地基上粘弹性地基板的自由振动解析
引用本文:祝彦知,薛保亮,王广国. 粘弹性地基上粘弹性地基板的自由振动解析[J]. 岩石力学与工程学报, 2002, 21(1): 112-118
作者姓名:祝彦知  薛保亮  王广国
作者单位:1. 同济大学地下建筑与工程系,上海,200092
2. 郑州市市政工程管理处,郑州,450053
3. 郑州工程学院,郑州,450052
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。

关 键 词:粘弹性板 自由振动 动力特性 解析解 粘弹性地基
文章编号:1000-6915(2002)01-0112-07
收稿时间:2001-01-02
修稿时间:2001-01-02

FREE VIBRATION ANALYSIS OF VISCOELASTIC FOUNDTION PLATE ON VISCOELASTIC FOUNDATION
Zhu Yanzhi,Xue Baoliang,Wang Guangguo. FREE VIBRATION ANALYSIS OF VISCOELASTIC FOUNDTION PLATE ON VISCOELASTIC FOUNDATION[J]. Chinese Journal of Rock Mechanics and Engineering, 2002, 21(1): 112-118
Authors:Zhu Yanzhi  Xue Baoliang  Wang Guangguo
Affiliation:Zhu Yanzhi1,Xue Baoliang2,Wang Guangguo3
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.
Keywords:viscoelastic plate  viscoelastic foundation  free vibration  dynamic behaviors  analytical solutions
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