Non-linear vibration of rectangular thin plate in magneto-thermo-fluid coupled field

doi:10.7523/j.issn.2095-6134.2014.06.002

Abstract

Abstract:

Dynamic behaviors of thin plate under mechanical loads, magnetic field, and fluid influence were studied. Initially, governing equations of the plate in thermal and magnetic field were derived based on physical equation, non-linear geometric equation, and equilibrium equation. Differential dynamic system was established by applying Galerkin method. The numerical solution was obtained by using Runge-Kutta method and results induding time-history, phase trajectory, and Poincare map of the plate were given. The simulation revealed that magnetic field would inhibit the effect of nonlinear force in the dynamics system. The thermal field would influence on not only thermal deformation and stress of the thin plate, but also the dynamical behaviour characteristics of the system. The coupling effects of magnetic field and fluid play important roles on dynamics behaviours of the plate.

Key words: non-linear vibration, finite deformation, magneto-thermo-mechanical multi-physical field, thin plate, dynamic response

CLC Number:

O322

LI Mingjian, LIU Shengyong, ZHANG Nianmei. Non-linear vibration of rectangular thin plate in magneto-thermo-fluid coupled field[J]. , 2014, 31(6): 731-738.

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