【摘要】 提出一种平面框架结构地震力的设计敏度和海森矩阵的精确计算方法.在有限单元法和纽马克-β法的基础上推导了平面框架结构地震力的设计敏度和海森矩阵的计算公式,用matlab语言编制了平面框架结构地震力的设计敏度和海森矩阵的计算程序,实现了平面框架结构地震力的设计敏度和海森矩阵的精确计算.最后给出一个二层平面框架结构算例,数值结果表明本文所提的地震力的设计敏度和海森矩阵的计算方法是有效的和高效的.更多还原

【Abstract】 This paper presented an accurate method of calculating the earthquake force design sensitivity and Hessian matrix of the planar frame. The formulas for the earthquake force design sensitivity and Hessian matrix of the planar frame were deduced based on the finite element method and Newmark-β method,and the corresponding calculating program was implemented with matlab language. Finally,a two-story planar frame was demonstrated as an example. The results indicate the method is effective.更多还原