A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis

[+] Author and Article Information
C. S. Hsu, H. M. Chiu

Department of Mechanical Engineering, University of California, Berkeley, Calif. 94720

J. Appl. Mech 53(3), 695-701 (Sep 01, 1986) (7 pages) doi:10.1115/1.3171833 History: Received July 16, 1985; Online July 21, 2009


In the past few years as an attempt to devise more efficient and more practical ways of determining the global behavior of strongly nonlinear systems, two cell-to-cell mapping methods have been proposed, namely, the simple cell mapping and the generalized cell mapping. In this first part of the two-part paper we present a different and more efficient cell mapping method for treating nonlinear vibration problems. The vibratory systems may be deterministic or stochastic. The method utilizes compatible simple and generalized cell mapping and it combines the advantages of both. Applications to various systems will be presented in the second part of the paper.

Copyright © 1986 by ASME
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