弹性地基上超高层建筑空间巨型框架受任意确定性动力作用的半解析分析

提出了求解弹性地基上超高层建筑空间巨型框架受任意多维确定性动力作用的半解析法。将超高层建筑空间巨型框架与其基础等效连续化为一个具有三维模型特征的、支撑在半无限大弹性地基上的加劲薄壁筒组合体;然后进行半离散化处理,以其节线上的形变未知函数为广义坐标,节线之间采用插值函数;再利用Hamilton原理,将受任意多维确定性动力作用的结构动力学问题转化成常微分方程组的边值问题;最后,利用高质高效的常微分方程求解器进行求解。算例计算结果表明:分析方法是合理的、可行的。

SEMI-ANALYTICAL ANALYSIS OF SUPER TALL MEGA SPACE FRAME STRUCTURE ON ELASTIC SUBGRADE DUE TO ARBITRARY DETERMINISTIC DYNAMIC LOADINGS

A new semi-analytical method is developed for the analysis of steady-state response of super-tall-mega space frame structures due to arbitrary deterministic dynamic loadings by using a three-dimensional model which is a combination of stiffened-thin-wall tubes on semi-infinite elastic body. The superstructure and its foundation are simplified equivalently and continuously into a combination of stiffened-thin-wall tubes and the subgrade is idealized a semi-infinite elastic body. A semi discretization is then made with some nodal lines, and the unknown shape functions defined on the lines are used as generalized coordinates, while interpolation functions are implemented between the lines. Using Hamilton’s principle, dynamic analysis of a super tall building structure is converted into the solution of the boundary problem of a group of ordinary differential equations, which can be solved by the precise and powerful ordinary differential equation solver. It is observed from the computing example that the new method is reasonable and feasible.