首页|Parametric resonance of axially functionally graded pipes conveying pulsating fluid
Parametric resonance of axially functionally graded pipes conveying pulsating fluid
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Based on the generalized Hamilton's principle,the nonlinear governing equa-tion of an axially functionally graded(AFG)pipe is established.The non-trivial equi-librium configuration is superposed by the modal functions of a simply supported beam.Via the direct multi-scale method,the response and stability boundary to the pulsating fluid velocity are solved analytically and verified by the differential quadrature element method(DQEM).The influence of Young's modulus gradient on the parametric reso-nance is investigated in the subcritical and supercritical regions.In general,the pipe in the supercritical region is more sensitive to the pulsating excitation.The nonlinearity changes from hard to soft,and the non-trivial equilibrium configuration introduces more frequency components to the vibration.Besides,the increasing Young's modulus gradi-ent improves the critical pulsating flow velocity of the parametric resonance,and further enhances the stability of the system.In addition,when the temperature increases along the axial direction,reducing the gradient parameter can enhance the response asymme-try.This work further complements the theoretical analysis of pipes conveying pulsating fluid.
Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai Frontier Science Center of Mechanoinformatics,Shanghai Institute of Applied Mathematics and Mechanics,School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China
Shanghai Institute of Aircraft Mechanics and Control,Shanghai 200092,China
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