Structural pounding models with Hertz spring and nonlinear damper

被引:35
作者
Department of Mathematical Sciences, Faculty of Sciences and Technology, Hirosaki University, Hirosaki 036-1861, Japan [1 ]
不详 [2 ]
不详 [3 ]
机构
[1] Department of Mathematical Sciences, Faculty of Sciences and Technology, Hirosaki University
[2] Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Kowloon
[3] Faculty of Civil and Environmental Engineering, Gdansk University of Technology, 80-952 Gdansk
来源
J. Appl. Sci. | 2008年 / 10卷 / 1850-1858期
关键词
Earthquakes; Hertz model; Hertzdamp model; Nonlinear viscoelastic model; Pounding force;
D O I
10.3923/jas.2008.1850.1858
中图分类号
学科分类号
摘要
The aim of the study is to show a comparison between the nonlinear viscoelastic model and the Hertzdamp model, both of them considered as Hertz contact law force-based models in conjunction with nonlinear damper. The results for two different impact experiments as well as for shaking table experiments on pounding between two steel towers excited by harmonic waves are used in this study. In addition, a suit of thirty ground motion records from thirteen different earthquakes is applied to simulate pounding between two single degree of freedom systems of different period ratios. The results of the study show that the nonlinear viscoelastic model gives smaller simulation errors in the impact force time histories comparing to the Hertzdamp model. It also provides smaller displacement and acceleration amplifications of the pounding-involved structural response under earthquake excitation. On the other hand, the Hertzdamp model has been found to be more accurate than the nonlinear viscoelastic model in simulation of impact velocity for pounding of structures under harmonic excitation. © 2008 Asian Network for Scientific Information.
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页码:1850 / 1858
页数:8
相关论文
共 29 条
[1]  
Anagnostopoulos S.A., Pounding of buildings in series during earthquakes, Earthquake Eng. Struct, 16, 3, pp. 443-456, (1988)
[2]  
Anagnostopoulos S.A., Equivalent viscous damping for modeling inelastic impacts in earthquake pounding problems, Earthquake Eng. Struct, 33, 8, pp. 897-901, (2004)
[3]  
Burrage K., Efficiently implementable algebraically stable Runge-Kutta methods, SIAM. J. Numer. Anal, 19, 2, pp. 245-258, (1982)
[4]  
Chau K.T., Wei X.X., Pounding of structures modelled as nonlinear impacts of two oscillators, Earthquake Eng. Struct, 30, 5, pp. 633-651, (2001)
[5]  
Chau K.T., Wei X.X., Guo X., Shen C.Y., Experimental and theoretical simulation of seismic poundings between two adjacent structures, Earthquake Eng. Struct, 32, 4, pp. 537-554, (2003)
[6]  
Chen X., Nashed Z., Qi L., Smoothing methods and semismooth methods for non-differentiable operator equations, SIAM. J. Numer. Anal, 38, 4, pp. 1200-1216, (2000)
[7]  
Chen X., Mahmoud S., Implicit Runge-Kutta methods for Lipschitz continuous ordinary differential equations, SIAM. J. Numer. Anal, 46, 3, pp. 1266-1280, (2008)
[8]  
Civalek O., Nonlinear dynamic response of MDOF systems by the method of Harmonic Differential Quadrature (HDQ), Struct. Eng. Mech, 25, 2, pp. 201-217, (2007)
[9]  
Clarke F.H., Optimization and Nonsmooth Analysis, (1983)
[10]  
Ferracina L., Spliker M.N., An extension and analysis of the Shu-Osher representation of Runge-Kutta methods, Math Comput, 74, 249, pp. 201-219, (2005)