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.
Transient Response of a Dynamic System Under Random Excitation
T. K. Caughey,
T. K. Caughey
Division of Engineering, California Institute of Technology, Pasadena, Calif.
H. J. Stumpf
California Institute of Technology, Pasadena, Calif.
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Caughey, T. K., and Stumpf, H. J. (December 1, 1961). "Transient Response of a Dynamic System Under Random Excitation." ASME. J. Appl. Mech. December 1961; 28(4): 563–566. https://doi.org/10.1115/1.3641783
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