From periodic to chaotic oscillations in composite laminated plates |
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Affiliation: | 1. IDMEC/DEMEGI, Faculty of Engineering, University of Porto, Rua Doutor Roberto Frias, s/n, 4200-465 Porto, Portugal;2. Department of Informatics, Engineering Superior School of Viseu, Viseu, Portugal;1. Universidade do Porto, DEMEGI, Faculdade de Engenharia, Rua Doutor Roberto Frias, 4200-465 Porto, Portugal;2. School of Engineering, Heriot-Watt University, Edinburgh EH14 4AS, UK;3. IDMEC - Instituto Superior Te?nico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal |
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Abstract: | The geometrically non-linear, linear elastic, oscillations of composite laminated plates are studied in the time domain by direct numeric integration of the equations of motion. A p-version finite element, where first-order shear deformation is followed and that was recently proposed for moderately thick plates, is employed to define the mathematical model. By applying transverse harmonic forces, the variation of the oscillations with the angle of the fibres is investigated. With this kind of excitation, only periodic motions with a period equal to the one of the excitation are found. However, introducing in-plane forces, m-periodic or quasi-periodic oscillations, as well as chaotic oscillations are computed. The existence of chaos is confirmed by calculating the largest Lyapunov exponent. |
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