On the General Solutions for Annular Problems with Point Heat Source

• Main Author: 譚家仁
• Other Authors: 趙振綱
• Format: Others
• Language: zh-TW
• Published: 1998
• Online Access: http://ndltd.ncl.edu.tw/handle/09773797635338170896

碩士 === 國立臺灣科技大學 === 機械工程技術研究所 === 86 === 　　The two-dimensional thermoelastic problem of annulus ring with a point heat source or no point heat source is analyzed in this paper. Based on the complex variable representations of Muskhelishvilie, the Laurent series expansion and Fourier Transform, the solution of the temperature, stress functions can be obtained in a formal series form. Both the response of thermal stresses and failure prediction are studied through the pertinent parameters such as the location of point heat source and various boundary conditions. The proposed method and the obtained results provided in this paper would definitely helpful in understanding the failure behavior of the amulus ring problem under arbitrary extend froces including mechanical loads and thermal loads. For illustrating the use of the present approach, exact solutions of several examples are obtained and compared with those in the literature which shows that the results presented here are exact, simple and general.