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Frontiers of Structural and Civil Engineering

Front Arch Civil Eng Chin    2009, Vol. 3 Issue (2) : 142-147     https://doi.org/10.1007/s11709-009-0029-y
RESEARCH ARTICLE |
Impact analytical models for earthquake-induced pounding simulation
Kun YE1,2(), Li LI1,2
1. College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China; 2. Hubei Key Laboratory of Control Structure, Huazhong University of Science and Technology, Wuhan 430074, China
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Abstract

Structural pounding under earthquake has been recently extensively investigated using various impact analytical models. In this paper, a brief review on the commonly used impact analytical models is conducted. Based on this review, the formula used to determine the damping constant related to the impact spring stiffness, coefficient of restitution, and relative approaching velocity in the Hertz model with nonlinear damping is found to be incorrect. To correct this error, a more accurate approximating formula for the damping constant is theoretically derived and numerically verified. At the same time, a modified Kelvin impact model, which can reasonably account for the physical nature of pounding and conveniently implemented in the earthquake-induced pounding simulation of structural engineering is proposed.

Keywords structural pounding      Hertz model      Kelvin model      nonlinear damping      coefficient of restitution     
Corresponding Authors: YE Kun,Email:kun.ye@mail.hust.edu.cn   
Issue Date: 05 June 2009
 Cite this article:   
Kun YE,Li LI. Impact analytical models for earthquake-induced pounding simulation[J]. Front Arch Civil Eng Chin, 2009, 3(2): 142-147.
 URL:  
http://journal.hep.com.cn/fsce/EN/10.1007/s11709-009-0029-y
http://journal.hep.com.cn/fsce/EN/Y2009/V3/I2/142
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Fig.1  Typical curve of interpenetration versus time
Fig.2  Equivalent model of impact between two colliding bodies. (a) Impact between two colliding bodies; (b) single-degree-of-freedom system
Fig.3  Model of ball falling on stationary rigid surface
epre0.10.20.30.40.50.60.70.80.91.0
epost0.0730.1650.2700.3790.4870.5930.6970.7980.8991.000
relative error /%26.617.510.05.22.61.20.50.20.10
Tab.1  Comparison of prespecified and numerically obtained coefficient of restitution
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