基础隔震框架结构动力时程分析的精细积分法  

Precise integration method for dynamic time history analysis of base-isolation frame structures

作　　者：胡启平[1] 王丽娟[2] 

机构地区：[1]河北工程大学土木工程学院,河北邯郸056038 [2]河北旅游职业学院,河北承德067000

出　　处：《广西大学学报（自然科学版）》2016年第4期939-944,共6页Journal of Guangxi University（Natural Science Edition）

基　　金：河北省自然科学基金资助项目(E2011402057)

摘　　要：为了求得基础隔震框架结构抗震性能的高精度数值解,基于层剪切模型建立了结构的动力方程。引入对偶变量,导出动力时程分析的哈密顿正则方程,应用初值问题的精细积分法求得数值解;最后应用MATLAB语言编制程序对一应用橡胶垫基础的6层框架结构进行多遇地震作用下的动力时程分析。计算结果表明,在相同的地震波作用下,相对于传统抗震结构,基础隔震结构的层间位移减少了60%,速度和加速度减少了30%,顶层最大位移减少了15%。由此可见,基础隔震结构具有优良的抗震性能。该方法是求解基础隔震框架结构动力时程分析的新方法,计算数据精度高、可靠性好。Based on the story shear model,a dynamic equation of base-isolation frame structure is established for high-precision numerical solution of its seismic performance. Dual variables are introduced to derive the Hamiltonian canonical equation for the dynamic time history analysis. The precise integration method of initial value problems is applied to obtain the numerical solution. The MATLAB program is used to carry out the dynamic time history analysis of a rubber-base 6-story frame structure under earthquake excitation. According to the calculated results,under the same earthquake wave,compared with traditional seismic structures,the story displacement of the base-isolation structure is reduced by 60%,speed and accelerated speed are both reduced by 30%,and the maximum displacement of top story is reduced by 15%. Therefore,the base-isolation structure has excellent seismicity. It is a new method to solve the dynamic time history problem of isolation frame structures. And the data is precise and reliable.

关 键 词：哈密顿正则方程 精细积分法 基础隔震 MATLAB语言 动力时程分析 

分 类 号：TU352.1[建筑科学—结构工程]