Large amplitude free "exural vibrations of laminated composite skew plates

Here, the large amplitude free "exural vibration behaviors of thin laminated composite skew plates are investigated using 1nite element approach. The formulation includes the e3ects of shear deformation, in-plane and rotary inertia. The geometric non-linearity based on von Karman’s assumptions is introduced. The non-linear governing equations obtained employing Lagrange’s equations of motion are solved using the direct iteration technique. The variation of non-linear frequency ratios with amplitudes is brought out considering di3erent parameters such as skew angle, number of layers, 1ber orientation, boundary condition and aspect ratio. The in"uence of higher vibration modes on the non-linear dynamic behavior of laminated skew plates is also highlighted. The present study reveals the redistribution of vibrating mode shape at certain amplitude of vibration depending on geometric and lamination parameters of the plate. Also, the degree of hardening behavior increases with the skew angle and its rate of change depends on the level of amplitude of vibration