Transverse shear effects should not be neglected in many structures due to the significant effect on natural frequencies. Generally-laminated, thick, skew, trapezoidal plates are such structures, and due to an apparent lack of information regarding the free vibration of such plates, a method is developed for their study. In this method, Chebychev polynomials are used as displacement functions in the Rayleigh-Ritz method as applied to the first-order shear deformation theory (FSDT) while including rotary inertia. In general, various edge supports are permitted, and appropriate linear and rotational springs are introduced to approxiamtely satisfy the essential boundary conditions associated with simply-supported and clamped edges. Convergence stueis resulting from changes in the number of termsi n the series is investigated. The accuracy of the method is then demonstrated by comparing the present method to available results for cantilever plates of various quadrilaterla shape with isotropic and lamianted construction. As a way to model wing structures, cantilever, thick, skew, trapezoidal are then extensively studied, and variations in naturla frequencies due to geometric parameter changes, such as taper ratio, sweep angle, and value of the parameter q, which is related to the span, is discussed.
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