基于LuGre摩擦模型的简支板的振动动态响应分析
摘要
三点铰接一点简支的矩形板在支撑边界处是存在非线性摩擦力的,干摩擦阻尼力耗散系统一部分能量,减小板的振动响应。为了分析非线性系统在边界支撑处干摩擦阻尼对系统的振动振幅的影响,建立板在激振力的作用下弯曲变形的非线性动力学模型以及板边界处干摩擦阻尼的摩擦模型,借助于Galerkin法将系统转化非线性常微分方程,通过辨识不同的摩擦参数,数值仿真分析不同情况下板的横向振动的振幅变化。
引文
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[2]Yan,T.,Lin,C.-S.(2004).Identifyingthe stiffness and damping parameters ofa linear servomechanism. Machine Based Design of Structures and Machines 32(3):283-304.
[3]Dowell,E.H.(1986).Damping in the beams and plates due to sliping at thesupport boundaries.Journal of Sound andVibration.105(2):243-253.
[4]Amir Nobaria.(2014). Statistics of complex eigenvalues in friction-induced vibration. Journal of Soundand Vibration.
[5]刘丽兰,刘宏昭,吴子英,等.机械系统中摩擦模型的研究进展[J].力学进展,2010.
[6]HamidAhmadian.(2010). Nonlinear model identificationof a frictional contact support. MechanicalSystems and Signal Processing.24(2010)2844-2854.
[7]Zi Ying Wu.(2014). Damping analysis In beams subject to the preslidingfriction. Machine Based Design of Structures and Machines 42:229-243.
[8]L. Gaul, J. Lenz, Nonlinear dynamics of structures assembled by bolted joints, ActaMechanica 125(1997)169-181.