地震碰撞分析中接触单元模型的精细积分解法  

Precise integration method for the solution of contact element model in earthquake pounding analysis

作　　者：张瑞杰[1] 李青宁[1] 尹俊红[1] 

机构地区：[1]西安建筑科技大学土木工程学院,西安710055

出　　处：《振动与冲击》2016年第3期121-128,共8页Journal of Vibration and Shock

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资助项目(E01004)

摘　　要：地震碰撞数值分析是结构抗震研究的重要内容,将精细积分法引入到地震碰撞数值分析中。结合5种常用接触单元模型的特点,将碰撞力计算式表达成统一的形式,推导了碰撞阶段的精细积分公式。将地震碰撞过程划分为碰撞阶段和非碰撞阶段,对不同的阶段采用不同的积分步长,并且提出一种基于线性加速度假定的碰撞时刻搜索法。用两小球自由弹性碰撞模型对精细积分法程序进行验证。并采用本文方法对Chau振动台碰撞试验进行了数值仿真。结论为:数值分析方法既保证了模拟地震碰撞的精度又具有较高的计算效率;在地震碰撞分析中应合理选择接触单元模型和模型参数;对于近似弹性碰撞情况Hertz模型和Hertz-damp模型数值仿真结果与试验结果吻合较好。The numerical analysis of earthquake pounding is one of the important points in bridges＇ seismic study. A precise integration method was introduced into the numerical analysis of the structures＇ earthquake pounding. In consideration of the characteristics of five kinds of contact element models that are commonly used, a unified expression of pounding force was put forward, and then the formulas for the precise integration method were deduced. The structures＇ response process in earthquake was divided into two parts, the one is collision process and the other is none collision process. And different integration time steps were applied in different processes as well as a method to search precise contact moment was developed. The precise integration method program has been tested by using a two lumped masses on free vibration model. And then the numerical simulation of two steel structures＇ earthquake pounding experiments implemented by Chau was carried out based on the presented precise integration method. The conclusions are： the precise integration method not only can ensure the precision of the pounding simulation but also has high computing efficiency ; the contact element model as well as the model＇s parameters should be choosen carefully; the numerical analysis results by the Hertz model and Hertz-damp model are in good agreement with the experiment results in the case of approximate elastic pounding.

关 键 词：地震 结构碰撞 数值分析 精细积分法 接触单元 

分 类 号：TU973[建筑科学—结构工程] U442.5[建筑科学—桥梁与隧道工程]