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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 994-1000.

• 论文 • 上一篇    下一篇

ANALYSIS OF THERMAL-ELASTIC COUPLING VIBRATION OF LARGE DEFLECTION CYLINDRICAL SHELL

树学锋1, 兰姣霞1, 武勇忠2   

  1. 1. Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China;
    2. China North Industry Group System Engineering Institute, Beijing Mail Box 8995, Beijing 100089, P. R. China
  • 收稿日期:2002-10-25 修回日期:2004-05-11 出版日期:2004-09-18 发布日期:2004-09-18
  • 基金资助:

    the National Natural Science Foundation of China(10372067);the Natural Science Foundation of Shanxi Province of China(20021004)

ANALYSIS OF THERMAL-ELASTIC COUPLING VIBRATION OF LARGE DEFLECTION CYLINDRICAL SHELL

SHU Xue-feng1, LAN Jiao-xia1, WU Yong-zhong2   

  1. 1. Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China;
    2. China North Industry Group System Engineering Institute, Beijing Mail Box 8995, Beijing 100089, P. R. China
  • Received:2002-10-25 Revised:2004-05-11 Online:2004-09-18 Published:2004-09-18
  • Supported by:

    the National Natural Science Foundation of China(10372067);the Natural Science Foundation of Shanxi Province of China(20021004)

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摘要： The governing equation and energy equations for thermal-elastic coupling vibration of cylindrical shell were developed. The Garlerkin method was used in numerical process. Some useful result can be concluded from numerical result. With the increase of the amplitude of temperature and coupling coefficient, the speed of vibration decaying becomes slower and the coupling effect becomes weaker. The larger the ration of length to radius and length to thickness, the faster the decaying of the vibration amplitude and the vibration frequency increase. It means the coupling effect gets stronger. The larger the coupling coefficient, the smaller the axial stress, the axial force and the bendind moment are.

关键词: cylindrical shell, thermal-elastic coupled vibration, Garlerkin method

Abstract: The governing equation and energy equations for thermal-elastic coupling vibration of cylindrical shell were developed. The Garlerkin method was used in numerical process. Some useful result can be concluded from numerical result. With the increase of the amplitude of temperature and coupling coefficient, the speed of vibration decaying becomes slower and the coupling effect becomes weaker. The larger the ration of length to radius and length to thickness, the faster the decaying of the vibration amplitude and the vibration frequency increase. It means the coupling effect gets stronger. The larger the coupling coefficient, the smaller the axial stress, the axial force and the bendind moment are.

Key words: cylindrical shell, thermal-elastic coupled vibration, Garlerkin method

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