Transient Response of a Dynamic System Under Random Excitation

[+] Author and Article Information
T. K. Caughey

Division of Engineering, California Institute of Technology, Pasadena, Calif.

H. J. Stumpf

California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 28(4), 563-566 (Dec 01, 1961) (4 pages) doi:10.1115/1.3641783 History: Received September 21, 1960; Revised March 02, 1961; Online September 16, 2011


This paper analyzes the transient response of a simple harmonic oscillator to a stationary random input having an arbitrary power spectrum. The application of the results of this analysis to the response of structures to strong-motion earthquakes is discussed.

Copyright © 1961 by ASME
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