In-plane forced vibration of curved pipe conveying fluid by Green function method

doi:10.1007/s10483-017-2246-6

Abstract

Abstract:

The Green function method (GFM) is utilized to analyze the in-plane forced vibration of curved pipe conveying fluid, where the randomicity and distribution of the external excitation and the added mass and damping ratio are considered. The Laplace transform is used, and the Green functions with various boundary conditions are obtained subsequently. Numerical calculations are performed to validate the present solutions, and the effects of some key parameters on both tangential and radial displacements are further investigated. The forced vibration problems with linear and nonlinear motion constraints are also discussed briefly. The method can be radiated to study other forms of forced vibration problems related with pipes or more extensive issues.

Key words: variational principle, shallow shell, large displacement, finite element method, curved pipe conveying fluid, in-plane forced vibration, Green function method(GFM), motion constraint

2010 MSC Number:

70J35
74F10

Qianli ZHAO, Zhili SUN. In-plane forced vibration of curved pipe conveying fluid by Green function method. Applied Mathematics and Mechanics (English Edition), 2017, 38(10): 1397-1414.

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