Nonlinear vibrations of a composite circular plate with a rigid body
نویسندگان
چکیده
Abstract The influence of weights is usually ignored in the study nonlinear vibrations plates. In this paper, effect structure on vibration a composite circular plate with rigid body presented. governing equations are derived from generalized Hamilton’s principle and von Kármán theory. equilibrium configurations due to determined validated by finite element method (FEM). A model for around configuration established. Moreover, natural frequencies amplitude-frequency responses harmonically forced calculated. shows that introduce additional linear quadratic terms into dynamical model. This leads interesting phenomena. For example, considering increases frequency. Furthermore, when considered, response becomes asymmetrical.
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ژورنال
عنوان ژورنال: Applied Mathematics and Mechanics-english Edition
سال: 2023
ISSN: ['0253-4827', '1573-2754']
DOI: https://doi.org/10.1007/s10483-023-3005-8