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nonlinear Parametric Vibration of a Fluid-Conveying Pipe Flexibly Restrained at the Ends

Acta Mechanica Solida Sinica 2020年第3期33卷 327-346页

作者： Qian Li Wei Liu Kuan Lu Zhufeng Yue Department of Engineering Mechanics Northwestern Polytechnical UniversityXi'an 710129China

In this paper,the nonlinear parametric vibration of fluid-conveying pipes flexibly restrained at both ends and subjected to the pulsation flow excitation is *** nonlinear equation of motion is derived using Hamilton^principle by considering the Kevin-Voigt viscoelastic damping,the geometric nonlinearity and the translational and rotational springs supported at the *** mode functions and eigen-frequencies are determined by the assumed mode method according to the elastic boundary *** Galerkin method is implemented to obtain the natural frequencies and mode shapes of the pipe conveying fluid with different flow *** effects of flexibly restrained conditions on stability of the pipe are *** nonlinear responses of the pipe under pulsating flow excitation are solved by the direct numerical *** vibration behaviors are discussed in details,such as time history,frequency spectrum,phase-plane portrait,Poincare map and motion *** results show that the responses of sub-harmonic resonance and combination resonance can also be reflected in the rigidly supported *** 1/5,1/8 and 1/13 sub-harmonic resonances can occur at certain excitation frequencies of the nonlinear parametric vibration *** steady-state response amplitudes increase by a large margin and significantly affect the stability of the *** effects of different spring stiffness coefficients on the parametric resonance responses are *** larger translational springs and rotational stiffness coefficients,the resonance frequencies shift to higher regions and the resonance amplitudes may reduce by a certain extent in accordance with the rigid-body *** study can provide helpful guidance on the analysis and design of piping systems subject to vibrations.

关键词： Pipes conveying fluid Flexibly restrained Pulsating flow velocity Parametric resonance period-n motion

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