Abstract
This paper focuses on the nontrivial equi- librium and the steady-state periodic response of belt- drive system with a one-way clutch and belt flexural rigidity. A nonlinear piecewise discrete-continuous dynamic model is established by modeling the motions of the translating belt spans as transverse vibrations of axially moving viscoelastic beams. The rotations of the pulleys and the accessory are also considered. Further- more, the transverse vibrations and the rotation motions are coupled by nonlinear dynamic tension. The nontriv- ial equilibriums of the belt-drive system are obtained by an iterative scheme via the differential and integral quadrature methods (DQM and IQM). Moreover, the periodic fluctuation of the driving pulley is modeled as the excitation of the belt-drive system. The steady- state periodic responses of the dynamic system are, respectively, studied via the high-order Galerkin trun- cation as well as the DQM and IQM. The time his- tories of the system are numerically calculated based on the 4th Runge-Kutta time discretization method. Furthermore, the frequency-response curves are pre- sented from the numerical solutions. Based on the steady-state periodic response, the resonance areas of the dynamic system are obtained by using the fre- quency sweep. Moreover, the influences of the trun- H. Ding (B)· D.-P. Li
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