精细积分法应用于地震碰撞力反应谱计算研究

发布时间：2018-04-02 19:17

本文选题：地震　切入点：结构碰撞　出处：《计算力学学报》2015年06期

【摘要】：相邻结构的碰撞时程分析是计算地震碰撞力反应谱的基础。结构碰撞时程分析要求采用稳定性好、精度高及计算效率高的数值分析方法。精细积分法将二阶动力微分方程通过增元降阶的方式转换成Hamilton对偶变量体系,得到了动力微分方程的精确解。基于此,本文将精细积分法引入结构碰撞时程分析及地震碰撞力反应谱计算中。在推导精细积分法公式的基础上,在MATLAB环境下编制了结构碰撞时程分析程序和碰撞力反应谱计算程序,并实现了碰撞力反应谱程序的并行化。经算例验证,精细积分法应用于结构碰撞时程分析及地震碰撞力反应谱计算是可行的,程序计算结果准确。
[Abstract]:The analysis of collision time history of adjacent structures is the basis of calculating the response spectrum of earthquake collision force.Structural impact time history analysis requires a numerical analysis method with good stability, high accuracy and high computational efficiency.The exact solution of the second order dynamic differential equation is obtained by transforming the second order dynamic differential equation into the Hamilton dual variable system by increasing the order and reducing the order.In this paper, the precise integration method is introduced into the analysis of structural impact time history and the calculation of seismic collision force response spectrum.Based on the derivation of the precise integration method, the structural impact time history analysis program and the collision force response spectrum calculation program are compiled under the environment of MATLAB, and the parallelism of the collision force response spectrum program is realized.It is proved by an example that the precise integration method is feasible for structural impact time history analysis and earthquake impact force response spectrum calculation, and the program results are accurate.
【作者单位】：西安建筑科技大学土木工程学院;
【基金】：国家自然科学基金(51078306) 高等学校博士学科点专项科研基金(20106120110004) 西安建筑科技大学重大科技项目创新基金(ZX0901) 陕西省重点学科建设专项资金(E01004)资助项目
【分类号】：TU311.3

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