Asymmetric Vibration and Stability of Circular Plates with Orthotropic Material Properties by Using Rayleigh-Ritz Method

• Main Authors: Chiun-Ping Lin, 林群評
• Other Authors: Ying-Chun Chang
• Format: Others
• Language: en_US
• Published: 2004
• Online Access: http://ndltd.ncl.edu.tw/handle/53613414712252859196

碩士 === 大同大學 === 機械工程學系(所) === 92 === Investigation in this research is divided into two parts. One is the consideration on the vibration and buckling load of the orthotropic annular plate taking account of shear deformation and rotary inertia, including CF (clamped at inner edge and free at outer edge) and SS (simply supported at inner edge and outer edge) boundary conditions. The other part is to investigate the effect of concentric ring supports on the effectiveness of the enhancement of the buckling load of the orthotropic annular plate. This annular plate bears the in-plane force and torque separately in the mathematical formulation. In order to solve this stability problem, the position shift functions of the annular plate shall utilize the trigonometric series and power series function that will be substituted into the work made by the potential energy, kinetic energy and external force. Then the natural frequency and the buckling load of the system are obtained by utilizing the Rayleight-Ritz’s Method. Aiming at different boundary conditions, investigation is conducted on the thickness of the annular plate, orthotropic rigidity ratio, flexibility and the concentric ring supports position change. Analysis is conducted on the effect of the natural frequency and the stability of the buckling load that will be expressed by diagram and chart.