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Erschienen in:
2016 | OriginalPaper | Buchkapitel
Finite Element Method for Nonlinear Vibration Analysis of Plates
verfasst von : Stanislav Stoykov, Svetozar Margenov
Erschienen in: Innovative Approaches and Solutions in Advanced Intelligent Systems
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Abstract
Plates are structures which have wide applications among engineering constructions. The knowledge of the dynamical behavior of the plates is important for their design and maintenance. The dynamical response of the plate can change significantly due to the nonlinear terms at the equation of motion which become essential in the presence of large displacements. The current work presents numerical methods for investigating the dynamical behavior of plates with complex geometry. The equation of motion of the plate is derived by the classical plate theory and geometrical nonlinear terms are included. It is discretized by the finite element method and periodic responses are obtained by shooting method. Next point from the frequency-response curve is obtained by the sequential continuation method. The potential of the methods is demonstrated on rectangular plate with hole. The main branch along the fundamental mode is presented and the corresponding time responses and shapes of vibration are shown.