弹性半空间上矩形基础稳态振动积分变换解

An Integral Transform Solution of Rectangular Foundation Loaded Steady Vibration on an Elastic Half Space

采用双重 Fourier变换分析位于弹性半空间上 ,受竖向稳态荷载作用下矩形基础的振动问题 .通过分析得到位移的积分变换解 ,并由该解得到矩形基础稳态振动下的动刚度 .通过解的数值计算分析 ,讨论了泊松比和基础形状对动刚度的影响 .

The method of double Fourier transform has been introduced for the analysis of rectangular foundation loaded with vertical steady vibrations on an elastic half space.And an integral representation for displacements and dynamic stiffness of rectangular foundation was presented.From the numerical evaluation and investigation,the effects of Poisson ratio and shape of foundation on dynamic stiffness were discussed,which is important for the analysis of the dynamic interaction of soil structure and machine foundation.