Vibrations of a Composite Rotating Circular Plate

• Main Authors: Jang, Jyh-Jye, 張智傑
• Other Authors: Lien-Wen Chen
• Format: Others
• Language: zh-TW
• Published: 1998
• Online Access: http://ndltd.ncl.edu.tw/handle/55300280963144131195

碩士 === 國立成功大學 === 機械工程學系 === 86 === AbstractIn this text, the natural frequencies and membrane stresses of the symmetrically laminated polar orthotropic annular plates are investigated.The formulation is initiated from the fundamental equations of theory of elasticity. With membrane stresses due to rotation considered and with assumptions of plates theory introduced, the governing differential equations of the system are derived. Base on these equations, responses of free vibration are analyzed. In the analysis of free vibration: the transverse deflection of an annular plate is expanded in angular direction by Fourier series so that the two-dimensional equations (in space) can be reduced to the one-dimensional ones. By using finite element method, the preceding equations are solved for natural frequencies. The results reveal that plates with higher stiffness ratio or Poisson's ratio have higher natural frequencies and certain laminations are capable of producing a higher fundamental frequency than either of the constituent materials alone can attain.