【摘要】 基于势能驻值原理推导框剪结构的层刚度矩阵,用有限单元法的思想,形成总体刚度矩阵,用于结构的振型分解和周期计算。选取结构滞回耗能需求值与滞回耗能能力值之比与结构所受水平地震作用的乘积作为目标函数,应用振型分解法求解多自由度体系的滞回耗能需求值和能力值,建立框剪结构基于能量概念的抗侧刚度优化数学模型。采用罚函数法的思想,将非线性约束优化问题转化为非线性无约束优化问题,采用MATLAB编制优化程序。最后给出算例,算例表明本文方法和程序是正确可行的。更多还原

【Abstract】 In this paper,based on the principle of resident potential energy,inter-story stiffness matrix for frame-shear wall structure was deduced. The thought of finite element method was used to form the global stiffness matrix,which is helpful to conduct the modal decomposition and calculation of structural natural period of vibration. It is the product of horizontal seismic action,the ration of hysteretic energy demand and hysteretic energy capacity that was selected as the target function. Modal decomposition method was used to calculate the hysteretic energy demand and hysteretic energy capacity of multi-degree freedom system. A mathematical model with respect to lateral stiffness optimization of frame-shear wall structure was founded. In this paper,the nonlinear constrained optimization problem was transformed into nonlinear unconstrained one by adopting the idea of penalty function method. A frame-shear wall structure optimum MATLAB software was developed. Subsequently,combined with a numerical example,the results demonstrate that the method proposed in the paper is accurate and feasible.更多还原