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On the stability of vibrations of a particle in a plane constrained by identical non-linear springs
Authors:Raymond P Vito
Institution:School of Engineering Science and Mechanics, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.
Abstract:This is a study on the stability of movement of a particle subject to displacement on a plane and linked to two supports fixed by identical non-linear springs. It is demonstrated that even a slight “softening” non-linearity completely modifies the characteristics of the stability of the system.
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