Equilibrium and Forced Vibration of an Axially Moving Belt with Belt-Pulley Contact Boundaries

Abstract

Axially moving materials have usually dealt with classic boundary conditions, i.e. zero boundaries, such as the simply supported and the fixed ends. In this paper, the dynamics responses of the axially moving belt with beltpulley contact boundary conditions are studied for the first time. Therefore, due to the fact that non-homogeneous terms are included in the boundary conditions, the traditional generalized eigenvalue method is no longer applicable. In this work, the belt is numerically discretized by using the differential quadrature method (DQM). Iterative schemes are proposed for determining the equilibrium configuration. Harmonic inertia excitation is considered to be the vertical motion of the whole system. The steady-state responses of the forced vibration are also numerically solved by applying the DQM. The parametric effects on the equilibrium configuration and the steady-state response are investigated. The numerical investigations reveal that the radius of the support pulley has significant effects on both the equilibrium configuration and the transition phase of the transverse vibration of the axially moving belt under inertia excitation.