A Finite Element Approach for a Mindlin Rectangular

• Main Authors: Kai-Ming Liu, 劉凱明
• Other Authors: C.S.Huang
• Format: Others
• Language: zh-TW
• Published: 2004
• Online Access: http://ndltd.ncl.edu.tw/handle/92848610412023178892

碩士 === 國立交通大學 === 土木工程系所 === 92 === A sharp corner often occurs in a plate component and causes stress singularity at the corner. The accuracy of numerical analysis for such plate often depends on the correctness of modeling the stress singularity behavior. This work proposes a finite-element-based technique to analyze Mindlin plates with stress singularities. The proposed technique imposes the corner functions, which are confined in a small area covering a corner and describe the stress singularity behavior at the corner, into the conventional finite element approach. The validity and correctness of the approach is verified by convergence studies for the vibrations of a sectorial plate and a rectangular plate with a crack. The distribution of stress resultants near the crack is also investigated for a rectangular plate with a crack under static loading. Adding corner functions to the conventional finite element approach can effectively accelerate the convergence of the numerical results. Finally, the proposed technique is applied to investigate the effects of the length, position, and orientation of a crack on the vibration frequencies of a cracked rectangular plate.