| Summary: | 碩士 === 國立臺北科技大學 === 製造科技研究所 === 97 === In this study, the non-linear dynamic responses are analyzed for flexible spinning annular plates with distributed viscous damping. Based on the Mindlin plate theory and the Von Karman strain theory, the nonlinear equations of motion are derived, in which the viscous effect of the plate are incorporated into the stresses-strains formulation by the viscoelastic theory. The equations are coupled between the radial, tangential and transverse direction. By using the mixed Galerkin weighted residual method, the equations of motion are discretized. By specifying the appropriate boundary conditions and the Kelvin-Voigt viscoelastic model, the eigenvalue problems of spinning annular plates are investigated. From the discretized equations, the dynamic responses are also computed by the generalized-α time integration method. The analysis results show some significant effects of distributed viscous damping on the dynamic behaviors of spinning annular plates with angular acceleration. In the derivation and numerical operation process, the computing software package (Mathematica) is highly employed instead of work done by hand to avoid man-made mistakes.
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