viscoelastic string-beam coupled vibro-impact system modeling and dynamic analysis论文.pdf

European Journal of Mechanics / A Solids 82 (2020) 104012
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European Journal of Mechanics / A Solids
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Viscoelastic string-beam coupled vibro-impact system: modeling and
dynamic analysis
Qiliang Wu a,b, Guoyuan Qi b,*
a Post-doctorate Research Station of Mechanical Engineering, School of Mechanical Engineering, Tiangong University, Tianjin, 300387, PR China
b Tianjin Key Laboratory of Advanced Technology of Electrical Engineering and Energy, Tiangong University, Tianjin, 300387, PR China
ARTICLE INFO ABSTRACT
Keywords: This paper presents the vibro-impact responses of a viscoelastic string-beam (SB) coupled system in detail for the
Vibro-impact first time. The Kelvin-Voigt viscoelasticity and the inelastic instantaneous impact are considered in this model.
String-beam coupled system The generalized Hamilton’s principle is used to derive the nonlinear dynamic equations and boundary conditions
Viscoelastic effect
of the viscoelastic SB coupled system. The Galerkin technique truncates the complicated governing partial dif­
Complex dynamics
ferential equations. The relationship between the momentum and kinetic energy before and after impact is used
to obtain the impact conditions. The frequency-response curves, bifurcation diagrams, time histories, and phase
trajectories are utilized to investigate the viscoelastic effect on the complex dynamics and vibro-impact responses