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On the equations of non-linear vibrations
Authors:F. Ma  W.C. Lee
Affiliation:

Department of Mechanical Engineering, University of California, Berkeley, CA 94720, U.S.A.

Abstract:The purpose of this short paper is to show that equations of non-linear vibrations whose linear parts involve two coefficient matrices can be simplified so that the linear portions become uncoupled. Equivalence transformations are utilized in the simplification, which can substantially streamline any subsequent analysis.
Keywords:equation of motion   non-linear vibrations   equivalence transformation
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