动质量对悬臂梁振动抑制的数值分析和实验研究

在简谐激励下,实验研究端部动质量对悬臂梁共振响应的抑制能力,发现抑振效果与质量位置和质量比有直接关系,动质量和梁的高频碰撞振动现象。提出包含碰撞效应的数学模型,用振型叠加法,将耦合的非线性偏微分方程变为时变非线性微分方程。计算无量纲梁端部位移和碰撞力。结果显示,提出的模型基本上描述了系统的动态特性,在一定程度上理论和实验结果是一致的。

Experimental Study and Numerical Analysis of a Moving Mass's Vibration Suppression of a Cantilever Beam

The paper carried out an experimental study of the ability of a moving mass to suppress resonant response at the tip of a cantilever beam under harmonic excitation, finding out that its vibration suppression effect has direct relationship with its position and ratio. The vibration due to high-frequency impact between the moving mass and the cantilever beam was also discovered. Furthermore, the paper effect and changed coupling nonlinear partial differential equation using the vibration shape superposition method. Then it calculated proposed a mathematical model for the impact into time-varying nonlinear differential equation the displacement and impact force at the tip of a non-dimensional cantilever beam. The results indicate that the mathematical model describes by and large its dynamic characteristics and that the study agrees well with experimental results in theory.