轴向运动三参数黏弹性梁的分岔与混沌

doi:10.12066/j.issn.1007-2861.1870

Abstract

Abstract:

The nonlinear dynamic behavior of an axially moving viscoelastic beam under parametric excitation is investigated. A standard linear solid model is used in the constitutive relation. Newton's second law is applied to derive a nonlinear integral-partial-differential governing equation of the beam. The fourth-order Galerkin truncation method is applied to truncate the governing equation into a set of ordinary differential equations solved with the fourth-order Runge-Kutta method. Based on the diagrams of time history, phase, Poincaré map and frequency analysis, the dynamical behavior is identified. The investigation is focused on the effects of the standard linear solid model's viscoelasticity on the nonlinear dynamic behavior. Numerical simulations show that vibration of an axially accelerating viscoelastic beam is sensitive to all parameters of the standard linear solid model.

Key words: axially moving beam, standard linear solid model, Galerkin truncation, bifurcation, chaos

CLC Number:

O322

LI Yi, YAN Qiaoyun, DING Hu, CHEN Liqun. Bifurcation and chaos of axially moving viscoelastic beam constituted by standard linear solid model[J]. Journal of Shanghai University（Natural Science Edition）, 2018, 24(5): 713-720.

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References 17

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Bifurcation and chaos of axially moving viscoelastic beam constituted by standard linear solid model

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