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饱和地基上弹性基础的竖向振动特性研究

王国才 王哲 孟凡丽

王国才, 王哲, 孟凡丽. 饱和地基上弹性基础的竖向振动特性研究[J]. 应用数学和力学, 2007, 28(9): 1071-1078.
引用本文: 王国才, 王哲, 孟凡丽. 饱和地基上弹性基础的竖向振动特性研究[J]. 应用数学和力学, 2007, 28(9): 1071-1078.
WANG Guo-cai, WANG Zhe, MENG Fan-li. Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1071-1078.
Citation: WANG Guo-cai, WANG Zhe, MENG Fan-li. Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1071-1078.

饱和地基上弹性基础的竖向振动特性研究

基金项目: 浙江省自然科学基金资助项目(Y105480);浙江省教育厅基金资助项目(20051414)
详细信息
    作者简介:

    王国才(1971- ),男,安徽天长人,副教授(联系人.Tel:+86-571-88320460;Fax:+86-571-88320124;E-mail:wanggczjut@hotmail.com).

  • 中图分类号: TU476

Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space

  • 摘要: 采用解析的方法研究了饱和地基上受一简谐竖向荷载作用下弹性基础的动力响应.在分析中,首先利用积分变换技术获得了饱和介质基本控制方程的变换解,然后基于基础-半空间完全放松接触、半空间表面完全透水或不透水的假设,建立了该动力混合边值问题的对偶积分方程,并把该对偶积分方程进一步化为易于数值求解的第二类Fredholm积分方程A·D2文末数值算例给出了动力柔度系数、位移和孔隙水压力随振动频域和土-基础体系物理力学参数特性的变化曲线.结果表明:饱和地基上弹性基础的动力响应完全不同于饱和地基上刚性圆板的动力响应.所用方法可用于研究波的传播、土-结构动力相互作用等许多问题.
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出版历程
  • 收稿日期:  2007-03-13
  • 修回日期:  2007-07-09
  • 刊出日期:  2007-09-15

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