On Efficient Computation of the Steady-State Response of Linear Systems With Periodic Coefficients

[+] Author and Article Information
T. J. Selstad, K. Farhang

Department of Mechanical Engineering, Southern Illinois University, Carbondale, IL 62901-6603

J. Vib. Acoust 118(3), 522-526 (Jul 01, 1996) (5 pages) doi:10.1115/1.2888216 History: Received May 01, 1994; Revised November 01, 1994; Online February 26, 2008


An efficient method for obtaining the steady-state response of linear systems with periodically time varying coefficients is developed. The steady-state solution is obtained by dividing the fundamental period into a number of intervals and establishing, based on a fourth-order Rung-Kutta formulation, the relation between the response at the start and end of the period. Imposition of periodicity condition upon the response facilitates computation of the initial condition that yields the steady-state values in a single pass; i.e., integration over only one period. Through a practical example, the method is shown to be more accurate and computationally more efficient than other known methods for computing the steady-state response.

Copyright © 1996 by The American Society of Mechanical Engineers
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