摘要
应用样条半解析法求解粘弹性非均质平面地基上条形基础的动力柔度系数。将地基划分为有限个水平条单元 ,位移函数表示为一次样条函数与 Fourier级数的乘积形式 ,根据复阻尼理论的拉格朗日方程 ,使问题归结为求解若干次低阶复代数方程。数值分析结果表明这一方法具有良好的精度 。
A semi-analytical procedure for determining dynamic flexibility coefficients of strip footing founded on visco-elastic non-homogenous foundations is developed. In the method, the soil foundation is divided into a number of horizontal stripes and the displacement functions are expressed as the product of spline functions along vertical direction and Fouriers series along horizontal direction. The non-homogeneity of soil shear stiffness or modulus along depth is taken into account. Then the dynamic flexibility coefficients of soil foundation can be achieved by directly solving Lagranges equation of dynamic equilibrium of the subsoil system. The analyses and discussions cover both the horizontal and vertical responses. The computed results are compared with conventional solutions obtained by other theoretical or numerical methods. The proposed approach may be considered as a reliable and effective approach for dynamic analysis of soil-structure interation system.[KH2D]
出处
《振动工程学报》
EI
CSCD
2000年第4期537-543,共7页
Journal of Vibration Engineering
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
条形基础
粘弹性非均匀地基
半解析法
动力柔度
strip foundations
viscoelasticity
non-homogenous foundations
spline functions/semianalytical method
complex damping theory
dynamic flexibility coefficient
