The steady-state responses of damped periodic systems with finite or infinite degrees-of-freedom and one nonlinear disorder to harmonic excitation are investigated by using the Lindstedt-Poincare method and the U-transformation technique. The perturbation solutions with zero-order and first-order approximations, which involve a parameter n, i.e., the total number of subsystems, as well as the other structural parameters, are derived. When n approaches infinity, the limiting solutions are applicable to the system with infinite number of subsystems. For the zero-order approximation, there is an attenuation constant which denotes the ratio of amplitudes between any two adjacent subsystems. The attenuation constant is derived in an explicit form and calculated for several values of the damping coefficient and the ratio of the driving frequency to the lower limit of the pass band. [S0021-8936(00)01101-6]
Forced Vibration Analysis for Damped Periodic Systems With One Nonlinear Disorder
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, June 10, 1998; final revision, Dec. 28, 1998. Associate Technical Editor: W. K. Liu. Discussion on the paper should be addressed to the Technical Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Chan, H. C., Cai, C. W., and Cheung, Y. K. (December 28, 1998). "Forced Vibration Analysis for Damped Periodic Systems With One Nonlinear Disorder ." ASME. J. Appl. Mech. March 2000; 67(1): 140–147. https://doi.org/10.1115/1.321158
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