Nonlinear dynamic characteristics of a cracked pipe conveying fluid under two-end elastic supports

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (1) : 70-74.

BAO Ridong, LIANG Feng

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Abstract

The nonlinear dynamical characteristics of a twoend elastically supported pipe with circular crack conveying fluid were studied. Firstly, the expressions of vertical vibration modal functions and the local flexibility coefficients of the cracked pipe were derived. Then, its equations of motion were discretized in the modal space with Galerkin method. Bifurcation diagrams and the maximum Lyapunov exponents of the pipe system responses versus various parameters were acquired by using the nonlinear dynamic simulation technique. The simulation results showed that the cracked piping system has abundant nonlinear dynamical characteristics; it exhibits multiple response forms, such as, periodic motion, quasiperiodic motion, intermittent chaos and chaotic motion and so on.

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elastic supports / cracked pipe / non-linear dynamic characteristics / bifurcation / chaos

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BAO Ridong, LIANG Feng. Nonlinear dynamic characteristics of a cracked pipe conveying fluid under two-end elastic supports[J]. Journal of Vibration and Shock, 2017, 36(1): 70-74

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