This paper presents an approach which provides a particularly simple and direct way of determining the instantaneous correlation matrices for the stationary random response of multidegree-of-freedom linear systems subjected to excitations of nearly arbitrary spectral density. In the special case of white excitation, the instantaneous correlation matrices are determined directly from a set of linear algebraic equations. When the excitation is nonwhite, some integrals must be evaluated before solving a system of linear algebraic equations. However, the form of these integrals is considerably simpler than that encountered in other common approaches.
Skip Nav Destination
Calculation of Correlation Matrices for Linear Systems Subjected to Nonwhite Excitation
Tetra Tech, Inc., Pasadena, Calif.
W. D. Iwan
Department of Applied Mechanics, California Institute of Technology, Pasadena, Calif.
Yang, I., and Iwan, W. D. (June 1, 1972). "Calculation of Correlation Matrices for Linear Systems Subjected to Nonwhite Excitation." ASME. J. Appl. Mech. June 1972; 39(2): 559–562. https://doi.org/10.1115/1.3422716
Download citation file:
Get Email Alerts
A Noncontact Method for Estimating Thin Metal Film Adhesion Strength Through Current-Induced Void Growth
J. Appl. Mech (April 2024)