恢复力模型中求突变折点的一种新方法  

A new method for dealing with the stiffness critical point in restoring force models

作　　者：姜磊 郑春梅[3] 冯丽娜 JIANG Lei;ZHENG Chunmei;FENG Lina(School of Civil Engineering and Architecture,Shandong University of Science and Technology,Qingdao 266590,China;Shandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation,Qingdao 266590,China;School of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074,China;China Northwest Architecture Design and Research Institute Co.ltd,Xi’an 710018,China)

机构地区：[1]山东科技大学土木工程与建筑学院,山东青岛266590 [2]山东省土木工程防灾减灾重点实验室,山东青岛266590 [3]重庆交通大学土木工程学院,重庆400074 [4]中国建筑西北设计研究院有限公司,陕西西安710018

出　　处：《地震工程与工程振动》2020年第2期171-176,共6页Earthquake Engineering and Engineering Dynamics

基　　金：国家科技支撑项目(2009BAJB02-03);山东省自然科学基金项目(ZB2011EL049);青岛市博士后科研基金项目(01156020407)。

摘　　要：在结构弹塑性动力计算中,恢复力曲线是一个重要问题。简化的折线型恢复力模型虽然应用简单,计算工作量小,但是有个突出缺点,即存在很多刚度突变点,即折点,这给计算带来麻烦。本文针对这一问题,提出了一种折点处理新方法。利用结构动力学方程和线性加速度法等推导出求解折线型恢复力模型中加载点和卸载点两类折点的计算公式。该公式基于结构动力学方程推导而来,逻辑严密,结果可信,精度有保证。此外,计算突变折点出现时刻,仅涉及结构动力特性等几个已知量,计算简单,不需迭代,计算工作量小。而且加载点与卸载点两类折点的计算公式形式简单又统一,方便编程。Restoring force curve is an important problem in structural elastoplastic dynamic calculation. Although the simplified restoring force model is simple in application and the computational work is small, there is a prominent defect, which is that there are a lot of stiffness mutation points, namely folding points. In this paper, a new method is proposed to solve this problem. By using the structural dynamics equation and linear acceleration method, the formula for calculating the folding point and unloading point in the linear restoring force model is derived. Because the formula is based on the structure dynamics equation, the result is reliable and the accuracy is guaranteed. In addition, the calculation of the moment of occurrence of abrupt transitions only involves several known quantities, such as the structural dynamic characteristics. The calculation is simple and requires no iteration. The formulas with loading point and unloading point have simple and identical form, so computer program can be easy to formed.

关 键 词：恢复力曲线 刚度折点 弹塑性分析 计算方法 模型分析 

分 类 号：TD560.15[矿业工程—矿山机电]