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

作　　者：邵文韫[1] 张国策[2] 王志锋 

机构地区：[1]上海大学机电工程与自动化学院,上海200072 [2]上海大学上海市应用数学和力学研究所,上海200072 [3]上海邮电设计咨询研究院有限公司,上海200092

出　　处：《噪声与振动控制》2012年第3期25-28,48,共5页Noise and Vibration Control

基　　金：上海市机械自动化及机器人重点实验室(ZZ0804);上海市重点学科建设项目(S30106)

摘　　要：在两端简支边界条件下,研究超临界速度范围内轴向运动梁横向非线性受迫振动的稳态响应。考虑Kelvin本构关系,通过坐标变换建立一个积分偏微分方程,以此描述高速轴向运动梁受到一个周期的外激励后所作的微幅振动。用8阶Galerkin方法截断标准控制方程,然后使用有限差分法计算受迫振动稳定的稳态响应。结果表明,在超临界速度范围,当激励频率接近前两阶固有频率时存在共振现象。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 tnmcation, 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 

分 类 号：O32[理学—一般力学与力学基础]