Nonlinear Vibration of Thin Shallow Conic Shells Under Combined Action of Peripheral Moment and Transverse Loads

ZHAO Yong-gang; WANG Xin-zhi; YEH Kai-yuan

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(12): 1223-1230

ZHAO Yong-gang, WANG Xin-zhi, YEH Kai-yuan. Nonlinear Vibration of Thin Shallow Conic Shells Under Combined Action of Peripheral Moment and Transverse Loads[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1223-1230.

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Nonlinear Vibration of Thin Shallow Conic Shells Under Combined Action of Peripheral Moment and Transverse Loads

1.
School of Sciences, Lanzhou University of Technology, Lanzhou 730050, P. R. China;
2.
Physical College, Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 2002-08-25
Rev Recd Date: 2003-06-27
Publish Date: 2003-12-15

Abstract

Abstract

Based on the variation and harmonic equations and by taking the maximum amplitude of the shell center as the perturbation parameter, nonlinear vibration of thin shallow conic shells under combined action of peripheral moment and transverse loads was solved. The linear natural frequency can be got by the first-order approximation and the more accurate nonlinear frequency is got by the second-order approximation under the action of static loads. Meanwhile the third-order approximate analytic expression is given for describing the nonlinear relation between nature frequency and peripheral moment, transverse loads, amplitude, base angle under the small deformation. Within some range, the complex and regularity of the nonlinear relation can be directly observed from the numeric results.
- perturbation variation method,
- nonlinear vibration,
- natural frequency,
- thin shallow conical shell

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References(10)

References

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