축방향 이송속도를 갖는 현의 모델링 및 진동해석

Abstract

The vibration of an axially moving string is studied when the string has geometric non-linearity and translating acceleration. Based upon the von karman strain theory, the equations of motion are derived considering the longitudinal and transverse deflection. The equation for the longitudinal vibration is linear and uncoupled, while the equation for the transverse vibration is non-linear and coupled between the longitudinal and transverse deflections. These equations are discretized by using the Galerkin approximtion after they are transformed into the variational equations, i.e., the weak forms so that the admissible and comparison functions can be used for the bases of the longitudinal and transberse deflections respectively. With the discretized nonlinear equations, the time responses are investigated by using the generalized-a method.