地震碰撞分析中接触单元模型的精细积分解法

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摘要地震碰撞数值分析是结构抗震研究的重要内容，本文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：本文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。

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Abstract：

The numerical analysis of earthquake pounding is one of the important points in bridges’ seismic study. In this paper, the 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 model that are commonly used, a unified formula of pounding force was expressed. And then the formulas of precise integration method were deduced. The structures’ response process in earthquake was divided into two parts, one is collision process and the other is none collision process. And different integration time steps were applied into different processes as well as a method to search precise contact moment was developed. The precise integration method program has been tested with a two point masses on free vibration model. And then numerical simulation of two steel structures’ earthquake pounding experiment implemented by Chau has been carried out based on precise integration method of this paper. The conclusions are, firstly, the precise integration method is not only ensuring the precision of the pounding simulation but also has high computing efficiency. Secondly, the contact element model as well as model’s parameters should be choosing carefully. Thirdly, the Hertz model and Hertz-damp model’s numerical analysis results are in good agreement with experiment results in the case of approximate elastic pounding.

Key words：Earthquake；Structure pounding；Numerical analysis；Precise Integration Method；Contact element model

Key words： Earthquake')" href="#">

Earthquake Structure pounding Numerical analysis Precise Integration Method Contact element model

收稿日期: 2014-09-10 出版日期: 2016-01-25

引用本文:

张瑞杰、李青宁、尹俊红. 地震碰撞分析中接触单元模型的精细积分解法[J]. 振动与冲击, 2016, 35(3): 121-128.
ZHANG Ruijie, LI Qingning, YIN Junhong. The precise integration method solution of contact element model in earthquake pounding analysis. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(3): 121-128.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I3/121

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