Analysis of Frequency Nonstationarity via Continuous Wavelet Transform in the Response of Primary-Secondary Systems
Publication: Journal of Structural Engineering
Volume 136, Issue 12
Abstract
An investigation into the frequency nonstationarity in the response of primary-secondary (P-S) systems and the impact it could have in the analysis of such structures has been presented in this note. For this purpose, a torsionally coupled P-S system subjected to nonstationary support motion is considered here. Simulated time history records of relative displacement of the secondary system are used to evaluate the time varying power spectral density functions. This is achieved by using a wavelet-based time-frequency analysis, which shows the temporal variations in the frequency content. The numerical results presented in this study advocate the use of nonstationary analysis of the P-S system for their proper design as conventional methods using cascading approximation may fail to capture this phenomenon, especially in the light of tuning and torsional coupling. System parameters such as mass ratio and radius of gyration are also observed to have a significant impact on the time varying frequency content of the response which is evidenced from the constructed time varying power spectrum.
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References
Agrawal, A. K. (2000). “Response of light equipment on torsional building with passive tuned mass damper.” Comput. Struct., 78, 591–602.
ASME Boiler and Pressure Vessel Code. (1981). “Rules of construction of nuclear power plant components.” ANSI/ASME BPV-III-1-A, Div. 1, App. N, New York.
Basu, B., and Gupta, V. K. (1997). “Non-stationary seismic response of MDOF systems by wavelet transform.” Earthquake Eng. Struct. Dyn., 26(12), 1243–1258.
Basu, B., and Gupta, V. K. (1998). “Seismic response of SDOF system by wavelet modeling of non-stationary processes.” J. Eng. Mech., 124(10), 1142–1150.
Clough, R. W., and Penzien, J. (1993). Dynamics of structures, McGraw-Hill, New York.
Der Kiureghian, A., Sackman, J. L., and Nour-Omid, B. (1983). “Dynamic analysis of light equipment in structures—Response to stochastic input.” J. Eng. Mech., 109(1), 90–110.
Failla, G., Spanos, P. D., and Di Poala, M. (2003). “Response power spectrum of multi degree of freedom nonlinear systems by a Galerkin technique.” ASME J. Appl. Mech., 70(5), 708–714.
Foss, K. A. (1958). “Coordinates which uncouple the equations of motion of damped linear systems.” ASME J. Appl. Mech., 25, 361–364.
Sackman, J. L., Der Kiureghian, A., and Nour-Omid, B. (1983). “Dynamic analysis of light equipment in structures—Modal properties of the combined system.” J. Eng. Mech., 109(1), 73–89.
Singh, M. P. (1975). “Generation of seismic floor spectra.” J. Eng. Mech., 101, 593–607.
Sinha, R., and Igusa, T. (1995). “Response of primary-secondary systems to short duration, wide-band input.” J. Sound Vib., 185(1), 119–137.
Spanos, P. D., and Failla, G. (2004). “Evolutionary spectra estimation using wavelets.” J. Eng. Mech., 130(8), 952–960.
Trifunac, M. D. (1990). “Curvograms of strong motions.” J. Eng. Mech., 116(6), 1426–1432.
U.S. Nuclear Regulatory Commission. (1981). “Subsystem response review.” NUREG/CR-1700, Washington, D.C.
Villaverde, R. (1988). “Rosenblueth’s modal combination rule for systems with non-classical damping.” Earthquake Eng. Struct. Dyn., 16(3), 315–328.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 136 • Issue 12 • December 2010
Pages: 1608 - 1612
Copyright
© 2010 ASCE.
History
Received: Nov 13, 2008
Accepted: May 9, 2010
Published online: May 27, 2010
Published in print: Dec 2010
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