A multiple times scale solution for non-linear vibration of mass grounded system
نویسندگان
چکیده
منابع مشابه
Vibration and Bifurcation Analysis of a Nonlinear Damped Mass Grounded System
In this paper, vibrations and bifurcation of a damped system consists of a mass grounded by linear and nonlinear springs and a nonlinear damper is studied. Nonlinear equation of motion is derived using Newton’s equations. Approximate analytical solutions are obtained using multiple time scales (MTS) method. For free vibration, the approximate analytical results are compared with the numerical i...
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This study is concentrated on the natural frequencies and mode shapes of a simple three-member space frame coupled with a dynamic vibration absorber. The dynamic vibration absorber is modeled as a six-degree-of-freedom mass-spring system. For the first time, the free vibration of an elastic structure with a six-degree-of-freedom mass-spring system is found. Each member of the space frame has un...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2010
ISSN: 0307-904X
DOI: 10.1016/j.apm.2009.10.009