噪声与振动控制2012，Vol.32Issue(3)：25-28,48,5.DOI:10.3969/j.issn.1006-1355.2012.03.006
高速轴向运动梁横向受迫振动的稳态分析
Steady-state Analysis of Forced Transverse Vibration for an Axially Moving Beam at High-speed
摘要
Abstract
The steady-state periodic response of transversely forced vibration of a simply supported viscoelastic beam moving axially at the supercritical speed was investigated. It was assumed that the external excitation is spatially uniform and temporally harmonic. Based on the coordinate transform, a nonlinear integro-partial-differential equation governing the small transverse vibration of the beam was constituted by the Kelvin model. The first two resonances were analyzed via the 8-term Galerkin truncation method. Based on the Galerkin truncation, the finite difference schemes were developed to compute the stable steady-state response. Numerical simulations display that the resonance occurs if the load frequency approaches any natural frequency in the supercritical speed range.关键词
振动与波/高速轴向运动梁/非线性/受迫振动/稳态响应/Galerkin方法Key words
vibration and wave / high-speed axially moving beam / nonlinearity / forced vibration / steady-state response/ Galerkin method分类
数理科学引用本文复制引用
邵文韫,张国策,王志锋..高速轴向运动梁横向受迫振动的稳态分析[J].噪声与振动控制,2012,32(3):25-28,48,5.基金项目
上海市机械自动化及机器人重点实验室(ZZ0804) （ZZ0804）
上海市重点学科建设项目(S30106) （S30106）
