层状地基任意形状刚性基础动力响应求解

林皋; 韩泽军; 李建波

doi:10.6052/0459-1879-12-101

层状地基任意形状刚性基础动力响应求解

doi: 10.6052/0459-1879-12-101

大连理工大学海岸和近海工程国家重点实验室, 大连 116024

基金项目: 中德合作研究项目(GZ566)和国家自然科学基金项目(51138001)资助.

详细信息

通讯作者:
韩泽军

中图分类号: O302
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出版历程
- 收稿日期: 2012-04-15
- 修回日期: 2012-06-25
- 刊出日期: 2012-11-18

SOLUTION OF THE DYNAMIC RESPONSE OF RIGID FOUNDATION OF ARBITRARY SHAPE ON MULTI-LAYERED SOIL

State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology, Dalian 116024,China

Funds: The project was supported by the Sino-German Science Foundation (GZ566) and the National Natural Science Foundation of China (51138001).

摘要

摘要: 提出了基于积分变换、对偶方程与精细积分算法求解多层地基任意形状刚性基础的动力刚度问题. 首先在频率波数域内圆柱坐标体系中利用圆形微元的对称与反对称特性建立多层地基中格林影响函数的波动方程,然后将应力和位移关系表示成对偶形式进行精细积分求解以提高计算精度和稳定性. 再将任意形状刚性基础与地基的交界面离散化为一系列圆形微元,利用格林影响函数建立其平动与转动动力刚度的矩阵方程. 该求解方法高效、准确并且计算稳定,适于任意复杂多层地基任意形状基础动力刚度的计算.
- 动力刚度 /
- 多层地基 /
- 任意形状刚性基础 /
- 精细积分 /
- 格林影响函数
Abstract: An approach based on integral transformation, dual form of wave motion equation and precise integration method is proposed for the solution of the dynamic stiffness matrices of rigid foundation of arbitrary shape on multi-layered half-space. Firstly, to take advantage of the axisymmetric property of the load-displacement field of subdisk-element in cylindrical coordinates, the equation of Green's influence function for multi-layered half-space is formulated. Then the dual form of the uncoupled wave motion equation in the frequency-wave number domain for in-plane motion and out-of-plane motion is established. It can be solved quite accurately by the precise integration method. Finally, the contact interface between the rigid foundation and the multi-layered half-space is discretized into a number of subdisk-elements, and the matrix-equation of translational and rotational dynamic stiffnesses of the foundation is evaluated. The proposed method is efficient, accurate and computationally stable. It is well suited to the dynamic interaction analysis of rigid foundation of arbitrary shape on complex multi-layered half-space. Numerical examples clearly demonstrate the superiority of the proposed approach.
- dynamic stiffness /
- multi-layered half-space /
- rigid foundation of arbitrary shape /
- precise integration method /
- Green’s influence function

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参考文献(18)

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