Abstract
The vibration behaviors of composite laminated annular/circular sector plate with complex boundary conditions are discussed. Firstly, the overall displacement function and mid-plane displacement of laminated plates are constructed based on the Reddy's Higher order shear deformation theory (HSDT) and Jacobi polynomials method. Then, according to the elasticity of composite materials, the energy equation is expressed by mid-plane displacement. Finally, the vibration characteristics are derived by Rayleigh-Ritz technique. The fast convergence and accuracy of the method are verified by numerical examples. On this basis, the effects of spring stiffness values, material parameters and geometric parameters on the vibration characteristics of sector plate are fully investigated, which can be the benchmark for the future research.
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