Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads

Wang Yonggang; Wang Xinzhi; Song Huifang

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Wang Yonggang, Wang Xinzhi, Song Huifang. Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads[J]. Applied Mathematics and Mechanics, 1997, 18(6): 545-550.

Citation:

Wang Yonggang, Wang Xinzhi, Song Huifang. Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads[J]. Applied Mathematics and Mechanics, 1997, 18(6): 545-550.

Citation:

Wang Yonggang, Wang Xinzhi, Song Huifang. Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads[J]. Applied Mathematics and Mechanics, 1997, 18(6): 545-550.

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Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads

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

Received Date: 1995-08-01
Publish Date: 1997-06-15

Abstract

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.
- nonlinear vibration,
- static loads,
- orthotropic,
- shallow spherical shell,
- shallow conical shell

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References(6)

References

[1]	李东,正交各向异性旋转扁壳的非线性振动,应用数学和力学,13(4) (1993),313-325
[2]	G.C.Sinharay and B.Banejee,Large amplitude free vibration of shallow spherical shell and cylindrical shell-A new approach,Int.J.Non-linear Mech.,20,2 (1985),69~75.
[3]	王林祥、王新志,静载荷作用下扁薄锥壳轴对称非线性自由振动,《全国第六届非线性振动会议论文集》,天津大学出版社,天津(1992), 101-106
[4]	吴兴强、徐次达,加权残值法分析轴压圆柱薄壳的后屈曲问题,应用力学学报,8(2) (1991),9-17
[5]	A.H.Nayfeh and D.T.Mook,Nonlinear Oscillations,John Wiley & Sons,New York (1979).
[6]	T.K.varadan and K.A.V.Pandalai,Nonlinear flexural oscillation of orthotropic shallow spherical shells,Computer and Structure,9 (1978),417~425.