地震碰撞分析中接触单元模型的精细积分解法

PDF(2277 KB)

振动与冲击 ›› 2016, Vol. 35 ›› Issue (3) : 121-128.

论文

张瑞杰、李青宁、尹俊红

作者信息 +

The precise integration method solution of contact element model in earthquake pounding analysis

ZHANG Ruijie, LI Qingning, YIN Junhong

Author information +

文章历史 +

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。

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

/ Structure pounding / Numerical analysis / Precise Integration Method / Contact element model

引用本文

EndNote

Ris (Procite)

Bibtex

导出引用

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[J]. Journal of Vibration and Shock, 2016, 35(3): 121-128

参考文献

[1] Rosenblueth E, Meli R. The 1985 earthquake: causes and effects in Mexico City. Concrete International, 1986, 8: 23–34.
[2] Priestley M J N, Seible F, Calvi G M. Seismic design and retrofit of bridge [M]. USA, New York: John Wiley and Sons INC, 1996: 8-20.
[3] Kasai K, Maison BF. Building pounding damage during the 1989 Loma Prieta earthquake. Engineering Structures 1997;19:195–207.
[4] Jankowski R. Pounding force response spectrum under earthquake excitation.[J]. Engineering Structures, 2006, 28(8): 1149-1161.
[5] Ping Zhu, Masato Abe, Yozo Fujino. Modelling three-dimensional non-linear seismic performance of elevated bridges with emphasis on pounding of girders[J]. Earthquake Engineering and Structural Dynamics, 2002, 31:1891-1913.
[6] Chau K T, Wei X X, Guo X. Experimental and theoretical simulations of seismic poundings between two adjacent structures [J]. Earthquake Engineering and Structural Dynamics, 2003, 32:537-554.
[7] Chau K T, Wei X X. Pounding of structures modeled as non-linear impacts of two oscillators [J]. Earthquake Engineering and Structural Dynamics, 2001, 30:633-651.
[8] Jankowski R. Non-linear viscoelastic modeling of earthquake-induced structural pounding [J]. Earthquake Engineering and Structural Dynamics, 2005, 34(6):595-611.
[9] Zanardo G, Hao H, Modena C. Seismic response of multi-span simply supported bridges to a spatially varying earthquake ground motion [J]. Earthquake Engineering and Structural Dynamics, 2002, 31: 1325―1345.
[10] Anagnostopoulos S A. Equivalent viscous damping for modeling inelastic impacts in earthquake pounding problems [J]. Earthquake Engineering and Structural Dynamics, 2004, 33(8): 897―902.
[11] Van Mier J G M, Pruijssers A F, Reinhardt H W, et al. Load-time response of colliding concrete bodies [J].Journal of Structural Engineering (ASCE), 1991, 117(2):354―374.
[12] Muthukumar S, DesRoches R. A Hertz contact model with non-linear damping for pounding simulation [J].Earthquake Engineering and Structural Dynamics, 2006,35(7): 811―828.
[13] 禚一,李忠献,王菲. 桥梁地震碰撞分析中不同接触单元模型的对比分析[J].工程力学, 2014, 31(3): 11-17.
Zhuo Yi, Li Zhongxian,Wang Fei. Comparative analysis of different contact element models in seismic pounding analysis of bridges. [J]. Engineering Mechanics, 2014, 31(2): 11―17. (in Chinese)
[14]郭泽英,李青宁,张守军. 结构地震发应分析的一种新精细积分法[J]. 工程力学, 2007, 24(4): 35-40.
Guo Zeying,Li Qingning,Zhang Shoujun. A new precise integration method for structure seismic response analysis.[J]. Engineering Mechanics, 2007,24(4):35-40. (in Chinese)
[15]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994, 34 (2) : 131-136.
Zhong Wanxie. One precise time integration method for structural dynamics[J]. Journal of Dalian University of Technology , 1994 , 34 (2) : 131-136.
[16]鲍四元,邓子辰. 结构撞击响应的一种弹性模型及其精细求解[J].工程力学,2008,25 (60):14-17.
Bao Siyuan, Deng Zichen. An elastic model and its precise solution for structure impact response[J]. Engineering Mechanics, 2008,25 (60):14-17. (in Chinese)
[17]邹立华,郭润,黄凯,等.带预应力橡胶支座相邻隔震结构碰撞分析[J].振动与冲击,2014,33(9):131-136.
ZOU Li-hua, GUO Run, HUANG Kai, et al. Pounding of adjacent isolated-structures with prestressed rubber bearings[J]. Journal of Vibration and Shock,2014,33(9):131-136.