您目前所在的位置:首页 - 期刊简介 - 详细页面

铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

第12卷    第1期    总第63期    2015年2月

[PDF全文下载]    [Flash在线阅读]

    

文章编号:1672-7029(2015)01-0150-04
框剪结构基于能量概念的抗侧刚度优化研究
陆铁坚,杨诗龙,宋宁,王鹏皓

(中南大学 土木工程学院, 湖南 长沙 410075)

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。

 

关键字: 框剪结构;抗侧刚度;优化;层模型;滞回耗能

Research on lateral stiffness optimization of frame-shear wall structure based on the concept of energy
LU Tiejian, YANG Shilong, SONG Ning, WANG Penghao

School of Civil Engineering, Central South University, Changsha 410075, China

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.

 

Key words: frame-shear wall structure; lateral stiffness; optimization; storey model; hysteretic energy

ISSN 1672-7029
CN 43-1423/U

主管:中华人民共和国教育部 主办:中南大学 中国铁道学会 承办:中南大学
湘ICP备09001153号 版权所有:《铁道科学与工程学报》编辑部
------------------------------------------------------------------------------------------
地 址:湖南省长沙市韶山南路22号 邮编:410075
电 话:0731-82655133,82656174   传真:0731-82655133   电子邮箱:jrse@mail.csu.edu.cn