Reduced-order models for the analysis of non-linear vibrations of variable stiffness composite laminated plates

• Type: Article in International Conference Proceedings Book
• Date: 2014

Authors

Akhavan, H (Author) Other; Pedro Leal Ribeiro (Author) FEUP

Conference proceedings International

Title: EURODYN 2014: IX INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS

Pages: 1803-1809

9th International Conference on Structural Dynamics (EURODYN)

Porto, PORTUGAL, JUN 30-JUL 02, 2014

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Scopus - 0 Citations

Other information

Authenticus ID: P-00M-735

Abstract (EN): This study focuses on reduced-order models to analyse non-linear oscillations of rectangular variable stiffness composite laminated (VSCL) plates. Each lamina of these VSCL plates has curvilinear fibres that are distributed by shifting along one of the Cartesian directions. Two model reduction approaches are applied: modal reduction alone and static condensation followed by modal reduction. In both cases, a p-version finite element that takes into account the effect of large amplitude displacements in the framework of third-order shear deformation theory (TSDT) is used to compute the linear modes, which are used as a basis. In the first approach, a reduced set that contains bending and in-plane modes is selected. The mode selection is discussed and it is confirmed that, also in this TSDT based model and in the non-linear regime, in-plane modes are essential for accuracy. In the second approach, the in-plane inertia is neglected in the full model and static condensation is applied, so that the influence of in-plane displacements is kept; only then is modal reduction implemented. This model has the advantage of leading to a smaller number of degrees of freedom and of automatically taking care of the in-plane displacements, but loses the effect of in-plane inertia. The accuracy and computational performance of both models in the definition of periodic responses of VSCL plates is compared. For that purpose, the laminates are subjected to transverse harmonic loads and the frequency responses are determined using the shooting method, with fifth-order Cash-Karp Runge-Kutta method and adaptive stepsize control. For excitation frequencies around the first natural frequency, the amplitudes of vibration, the time histories and the stability status of the diverse solutions are compared.

Language: English

Type (Professor's evaluation): Scientific