单自由度黏滞阻尼器消能结构动力学方程求解  

Calculation method study of earthquake responses of structures with fluid viscous dampers

作　　者：卢明奇[1] 

机构地区：[1]北京交通大学土木建筑工程学院,北京100044

出　　处：《大庆石油学院学报》2007年第2期65-67,共3页Journal of Daqing Petroleum Institute

基　　金：国家自然科学基金项目(50478063);北方交通科技大学科技基金项目(2006XM024)

摘　　要：为求解黏滞阻尼器的非线性动力方程,以黏滞阻尼器的单自由度消能结构体系为研究对象,在Newmark法基础上,结合Newton-Raphson算法,提出了地震响应的计算方法.计算结果表明按等效阻尼方法计算最大结构位移与试验结果对比,相对误差在90%以上;按文中算法计算最大结构位移与试验结果对比,二者的最大结构位移比较接近,相对误差大部分在5.5%以内,可以将其应用于黏滞阻尼器消能结构地震响应的计算.In order to solve the nonlinear dynamical equation of fluid viscous dampers, single degree freedom energy dissipation system with fluid viscous dampers was studied. Based on Newmark’s method, a new method for calculating earthquake responses of structures was proposed by means of Newton-Raphson algorithm. Compared with the experimental results, the relative errors of the maximum structure displacement obtained by the equivalent damper method are all beyond 90%; in contrast, the relative errors of the maximum structure displacement obtained by the method suggested in the paper are almost within 5.5%. So it can be seen that the method in the paper can be applied to the solution of earthquake responses of structures with fluid viscous dampers.

关 键 词：黏滞阻尼器 地震响应 非线性 动力方程 

分 类 号：P315.9[天文地球—地震学]