指数模量成层土非线性地震反应的半解析算法

Semi-analytic Method for Nonlinear Seismic Response of Layered Foundations with Exponential Function Shear Modulus

运用文献[1]所建议的动态应力应变关系及其推广的Masing加卸载准则,考虑土体在地震等产生的不规则加载条件下的非线性滞回特征,将增量法与相应场地地震线性反应解析解[2]相结合,提出了该动力非线性方程的半解析时域算法,基于改进的一维剪切梁模型,对剪切模量是其深度的某一指数函数的成层非均质土层,建立了求解土体地震反应的非线性分析技术。针对文献[2]中的土层剖面,做了计算、分析和讨论。

Combined with the extended Masing's rules, the dynamic constitutive relationship is employed to evaluate the nonlinear hysteretic property of soil material under transient or cyclic loadings. Incremental method and the general solution to linear seismic response of layered foundations with exponential function shear modulus are synthesized to develop a semi-analytic calculating technique for nonlinear dynamic problem, and a nonlinear analysis procedure is presented and numerically implemented to simulate seismic response of this sort of foundations. A practical example is analyzed to confirm the validity.