SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS

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

• 论文 • 下一篇

SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS

丁浩江¹, 陈伟球¹, 刘钟²

1. Zhejiann University, Hangzhou;
2. Peking Institute of Strueurc & Environment Engineering, Beijing

收稿日期:1993-09-01 出版日期:1995-01-18 发布日期:1995-01-18
基金资助:
Project supported by the National Natural Science Foundation of China

SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS

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

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

摘要/Abstract

摘要： 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.

关键词: oscillation, neutral equation, deviating arguments

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

丁浩江;陈伟球;刘钟. SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(1): 1-15.

Ding Hao-jiang;Chen wei-qiu;Liu Zhong. SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(1): 1-15.

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SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS

SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS

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