NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (6): 585-591.

NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS

王永岗, 王新志, 宋慧芳

Gansu University of Technology, Lanzhou 730050, P. R. China

收稿日期:1995-08-01 出版日期:1997-06-18 发布日期:1997-06-18

NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS

Wang Yonggang, Wang Xinzhi, Song Huifang

Gansu University of Technology, Lanzhou 730050, P. R. China

Received:1995-08-01 Online:1997-06-18 Published:1997-06-18

摘要/Abstract

摘要： In this paper, the axisymmetric nonlinear free vibration problems of cylindrically orthoiropic shallow thin spherical and conical shells under uniformly distributed static loads are studied by using MWR and Lindstedt-Poincare perturbation method. from which, the characteristic relation between frequency ratio and amplitude is obtsained.The effects of static loads, geometric and material parameters on vibrational behavior of shells are also discussed

关键词: nonlinear vibration, static loads, orthotropic, shallow spherical shell, shallow conical shell

Abstract: In this paper, the axisymmetric nonlinear free vibration problems of cylindrically orthoiropic shallow thin spherical and conical shells under uniformly distributed static loads are studied by using MWR and Lindstedt-Poincare perturbation method. from which, the characteristic relation between frequency ratio and amplitude is obtsained.The effects of static loads, geometric and material parameters on vibrational behavior of shells are also discussed

Key words: nonlinear vibration, static loads, orthotropic, shallow spherical shell, shallow conical shell

王永岗;王新志;宋慧芳. NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(6): 585-591.

Wang Yonggang;Wang Xinzhi;Song Huifang . NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(6): 585-591.

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NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS

NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS

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