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层状横观各向同性饱和地基上圆板的非轴对称振动

王小岗

王小岗. 层状横观各向同性饱和地基上圆板的非轴对称振动[J]. 应用数学和力学, 2007, 28(10): 1232-1244.
引用本文: 王小岗. 层状横观各向同性饱和地基上圆板的非轴对称振动[J]. 应用数学和力学, 2007, 28(10): 1232-1244.
WANG Xiao-gang. Non-Axisymmetrical Vibration of Elastic Circular Plate on Layered Transversely Isotropic Saturated Ground[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1232-1244.
Citation: WANG Xiao-gang. Non-Axisymmetrical Vibration of Elastic Circular Plate on Layered Transversely Isotropic Saturated Ground[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1232-1244.

层状横观各向同性饱和地基上圆板的非轴对称振动

基金项目: 国家自然科学基金资助项目(50678108);浙江省自然科学基金资助项目(Y106264)
详细信息
    作者简介:

    王小岗(1967- ),男,陕西人,教授,博士(Tel/Fax:+86-576-88661960;E-mail:Wangxg824@tzc.edu.cn).

  • 中图分类号: TU411.8

Non-Axisymmetrical Vibration of Elastic Circular Plate on Layered Transversely Isotropic Saturated Ground

  • 摘要: 研究了层状横观各向同性饱和地基上弹性圆板的非轴对称振动问题.首先,通过方位角的Fourier变换,将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组,基于径向Hankel变换,建立问题的状态方程,求解状态方程后得到传递矩阵;其次,利用传递矩阵,结合层状饱和地基的边界条件、排水条件及层间接触和连续条件,给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解;然后,按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程,并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程,并给出了算例.
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出版历程
  • 收稿日期:  2006-01-16
  • 修回日期:  2007-08-13
  • 刊出日期:  2007-10-15

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