摘要
应用样条半解析法求解非均质粘弹性地基的动力柔度系数 .将地基划分为有限个水平层单元 ,位移函数表示为一次样条函数与 Fourier级数的乘积形式 ,根据复阻尼理论的Lagrange方程 ,将问题归结为求解若干次低阶复代数方程 .通过数值分析讨论了地基非均质性、介质本身粘性阻尼比等参数对地基响应的影响 .所建议的方法是具有良好精度的有效计算方法 。
A semi analytical procedure for determining the dynamic flexibility coefficient of the three dimensional viscoelastic non homogeneous foundation is developed. In this method, the foundation is divided into a number of layers and the displacement functions are expressed as the product of spline function and Fourier′s series. The non homogeneity of soil modulus along depth is taken into account. Then the flexibility coefficients can be obtained by solving Lagrange′s equation. The discussions cover both the horizontal and the vertical responses. The results obtained are compared with the solutions by other methods. It may be considered as an applicable method to the interaction analysis of structure foundation system.
出处
《大连理工大学学报》
CAS
CSCD
北大核心
2001年第5期621-625,共5页
Journal of Dalian University of Technology
基金
国家教育部跨世纪优秀人才培养计划研究基金资助项目
关键词
粘弹性
非均质地基
半解析法
动力柔度系数
复阻尼理论
水平层单元
位移函数
viscoelasticity
heterogeneous foundations/semi analytical method
dynamic flexibility coefficient
complex damping theory
spline function
