In this work, a first-order discrete layer model is performed to deal with the free vibration and buckling analysis of composite sandwich plates in thermal environment. Owing to considering the effect of rotary inertias and shear deformation, thin-to-moderately thick shells can be analyzed. The differential equations of motion are derived from Hamilton’s principle, and account for the nonlinear variation of the in-plane and transverse displacements through the thickness due to temperature variation. These equations are solved by means of the closed-form Navier method, and validated by comparing the numerical results obtained by the present method with the findings published in literatures. Finally, the variation tendency of critical buckling temperature with material parameters is evaluated and shown graphically.
In this article, in order to obtain better vibration characteristics of circular composite sandwich cylindrical shells (CCSCS), the free vibration and damping property of CCSCS has been performed with parameter analysis. First, the equations of motion of CCSCS are deduced by adopting a displacement continuous piece-wise model based on Hamilton's principle and first order shear theory, in which shear strain and rotary inertias of all layers are considered. Second, the exact Navier method is adopted to obtain the solutions of these vibration equations and is authenticated by comparison with the results of open literatures. Finally, the change rule of free vibration and damping property versus thickness, shear parameter, and some structure parameters ratios are presented graphically, then a series of valuable conclusion are proposed to make CCSCS obtain higher rigidity and damping property.
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