Nonlinear transverse vibration of an axially moving beam with an intermediate spring constraint

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (5) : 142-145.

ZHAO Xiaoying1,LI Biao2,DING Hu1,CHEN Liqun1,3

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Abstract

Here, nonlinear vibration of an axially moving beam with an intermediate spring support was studied. With Hamilton’s principle, its partial differential dynamic governing equation was established. Natural frequencies and steady-state responses of the beam with trapezoid cross-section and simply supported boundaries were numerically computed by means of Galerkin truncation method. The effects of intermediate spring stiffness, beam axially moving speed and Galerkin truncation orders on the system’s natural frequencies and nonlinear forced vibration steady-state responses were discussed. The numerical results showed that intermediate spring significantly affects transverse vibration characteristics of the axially moving beam; the beam’s axial motion speed can change effects of intermediate spring constraint on transverse vibration of the beam system.

Key words

axially moving beam / spring constraint / natural frequency / nonlinear / force vibration

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ZHAO Xiaoying1,LI Biao2,DING Hu1,CHEN Liqun1,3. Nonlinear transverse vibration of an axially moving beam with an intermediate spring constraint[J]. Journal of Vibration and Shock, 2019, 38(5): 142-145

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