Equilibrium bifurcation analysis of functionally graded pipe conveying fluid with initial curvature

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (11) : 27-32.

GONG Yafei, ZHEN Yaxin

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Abstract

In real life, almost all pipes contain initial curvature. In view of this phenomenon, the equilibrium bifurcation of a functionally graded pipe with initial curvature is investigated analytically. Based on the generalized Hamiltonian principle and the Euler-Bernoulli beam theory, the nonlinear equation for the longitudinal and transverse coupled vibration of a functionally graded fluid-conveying pipe with initial curvature under fixed support condition is derived. The analytical expressions for the equilibrium configuration and critical flow velocity of functionally graded straight pipe and pipe with initial curvature under supercritical flow velocity are given. The influences of power-law exponent, length of pipe and intimal curvature amplitude on the equilibrium bifurcations are investigated in detail.

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Initial Curvature / Functionally Graded Materials / Equilibrium Bifurcation / Fluid-conveying Pipe

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GONG Yafei, ZHEN Yaxin. Equilibrium bifurcation analysis of functionally graded pipe conveying fluid with initial curvature[J]. Journal of Vibration and Shock, 2022, 41(11): 27-32

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