| Summary: | 碩士 === 國立中山大學 === 機械工程學系 === 87 === Free axisymmetric vibration of annular plates of taper-cross section have been analysis by the classical theory of plates . It only research the natural frequency of transverse vibration and interpret not enough detailedly about the vibration motion of thickness . Due to three-dimensional-elasticity modified finite element , discussion the natural frequencies and the modal shapes of taper-cross section plates by using eigenvalue technique . Without adding any assumption and predigest , it is more conveniently and exactly to simulate the axisymmetric vibration of three dimension annular plates than those classical plate-theory in practically . Natural frequencies of annular plates with different taper constants , ratios of inner-to-outer radius , geometry and boundary conditions are derived by present approach and are compared with those by plate-theory approach .
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