Damped Lateral Vibration in an Axially Creeping Beam with Random Material Parameters

摘要

Damped lateral vibration in an axially creeping beam with random material parameters is considered. The temperature and imperfection density and as a result two inelastic material parameters are random functions of the distance along the neutral axis. It is assumed that the material of the beam is governed by a nonlinear Maxwell model, and that the initial tensile stress is much greater than the increment of stress caused by the oscillation so that a perturbation technique may be employed. Two special cases are fully analyzed: the random parameters are random processes which are only slightly random, and the random parameters are random variables which are largely random. (Author)