Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (1): 1-15.

• Articles •     Next Articles

SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS

Ding Hao-jiang1, Chen wei-qiu1, Liu Zhong2   

  1. 1. Zhejiann University, Hangzhou;
    2. Peking Institute of Strueurc & Environment Engineering, Beijing
  • Received:1993-09-01 Online:1995-01-18 Published:1995-01-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

Abstract: The governing equations of the free vibrations of spherical and cylindrical shellswith a regular singularity. are solved by Frobenius Series Method in the form ofmatrix. Considering the relationship of the roots of the indicial equation, we get somevarious expressions of solutions according to different cases. This work lays afoundation of solving certain elastic problems by analytical method.

Key words: oscillation, neutral equation, deviating arguments

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals