Wavelet-Based Response Computation for Base-Isolated Structure under Seismic Excitation

Wensheng Ding^1*, Zhi Sun²

¹Department of Bridge Engineering, Tongji University, Shanghai, China.
²State Key Laboratory for Disaster Reduction in Civil Engineering, Shanghai, China.

DOI: 10.4236/jamp.2014.25020                

Abstract

This paper presents a wavelet-based approach for estimating the response of the base-isolated structure under seismic ground motions. The seismic ground motion record is expressed as the multi-scale wavelet coefficients which presents the time frequency characteristics of the seismic excitation. The wavelet domain governing differential equation between the wavelet coefficients of the excitation and response is derived. Numerical study on a one-storey base isolated structure is performed. The result shows that the wavelet based response computation method is of high precision.

Keywords

Wavelet Transform, Seismic Excitation, Time-Frequency Characteristic, Input-Response Relationship, Wavelet Basis

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Takeda, J. (1997) Building Isolation and Vibration Control. China Architecture & Building Press, Beijing.
[2]	Caughey, T.K. and Stumpf, H.J. (1961) Transient Response of a Dynamic System under Random Excitation. Journal of Applied Mechanics, 28, 563-566. http://dx.doi.org/10.1115/1.3641783
[3]	Basu, B. and Gupta, V.K. (1998) Seismic Response of SDOF System by Wavelet Modeling of Non-Stationary Process. Journal of Engineering Mechanics, 1142-1150. http://dx.doi.org/10.1061/(ASCE)0733-9399(1998)124:10(1142)
[4]	Newland, D.E. (1994) Wavelet Analysis of Vibration, Part 1: Theory. Journal of Vibration and Acoustics, ASME, 116, 409-416. http://dx.doi.org/10.1115/1.2930443
[5]	Daubechies, I. (1992) Ten Lectures on Wavelets. Society for Industrial & Applied Mathematics. Philadelphia, Pennsylvania.
[6]	Newland, D.E. (1994) Wavelet Analysis of Vibration, Part 2: Wavelet Maps. Journal of Vibration and Acoustics, ASME, 116.
[7]	Chopra, A.K. (2007) Dynamics of Structures, Theory and Applications to Earthquake Engineering. Higher Education Press, Beijing.
[8]	Basu, B. and Gupta, V.K. (1997) Seismic Response of MDOF System by Wavelet Transform. Earthquake Engineering and Structures Dynamics, 26, 1243-1258. http://dx.doi.org/10.1002/(sici)1096-9845(199712)26:12<1243::aid-eqe708>3.0.co;2-p
[9]	Du, P. and Sun, Z. (2010) Wavelet-Based Instantaneous Root-Mean-Square Response Estimation for sdof Systems under Seismic Excitation. Academic Engineering Mechanics, 27, 122-126.
[10]	(1991) Guide Specifications for Seismic Isolation Design, American Association of State Highway and Transportation Officials, Washington D.C.