Random Vibration Analysis for a Building under Evolutionary Random Excitations

Abstract:

For a building under evolutionary random excitations, a new random vibration analysis based on equivalent excitation method is presented, in which, the equivalent excitation is constructed by using continuous wavelet transform. When the input power spectral density of a seismic excitation is modulated by a time varying function, the continuous wavelet coefficients are calculated firstly by using scales and the evolutionary power spectral density, then the equivalent excitation is constructed by inverse continuous wavelet transform, finally the random vibration analysis is carried out following the procedures of the equivalent excitation method. An example is given to show the whole procedure, in which the special ability of the method for dealing with the evolutionary random excitation is discussed in detail.

• Periodical: Applied Mechanics and Materials (Volume 376)
• Pages: 262-266
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.376.262
• Online since: August 2013
• Authors: Zuo Yu Sun, Hui Wang, Yong Shan Zhang, Le Wei Yan
• Keywords: Continuous Wavelet Transform, Equivalent Excitation Method, Evolutionary Random Excitation, Random Vibration Analysis

References

[1] W.Q. Zhu, Random Vibration, Science Press, Beijing, 1992(in Chinese).

[2] J.P. Ou, G.Y. Wang, Structural Random Vibration. Higher Education Press, Beijing, 1992 (in Chinese).

[3] J.H. Lin, Y.H. Zhang, Pseudo-Excitation Method for Random Vibration. Science Press, Beijing, 2006 (in Chinese).

[4] J.H. Lin, W.X. Zhong, W.S. Zhang, D.K. Sun, High efficiency computation of the variances of structural evolutionary random responses. Shock & Vibration, 2000, 7(4): 209~216.

DOI: 10.1155/2000/178090

[5] Z.Y. Sun, H. Wang, Equivalent excitation method for structural random vibration analysis. Engineering Mechanics, 2010(SI): 20-22 (in Chinese).

[6] Y. Tang, Z.Y. Sun, H. Wang, Random vibration analysis of controlled building based on the equivalent excitation method. Information Technology and Architecture Engineering (ITAE2012), 2012, 4: 456~459.

[7] M.B. Priestley, Evolutionary spectra and non-stationary random process. J. R. Statst. Soc. Ser. B, 1965, 28(2): 204~230.

[8] K.C. Charles, an Introduction to Wavelets. Posts and Telecom Press, Beijing, (2009).

[9] W.X. Zhong, Z.G. Wu, S.J. Tan, Control Theory in Sate Space. Science Press, Beijing, 2007 (in Chinese).