基于多尺度方法的带颗粒阻尼悬臂梁自由振动半解析分析

涂福彬;卜令方;凌道盛;

振动与冲击 ›› 2013, Vol. 32 ›› Issue (16) : 134-139.

PDF(1810 KB)
PDF(1810 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (16) : 134-139.
论文

基于多尺度方法的带颗粒阻尼悬臂梁自由振动半解析分析

  • 涂福彬1,2,卜令方1,2,凌道盛1,2
作者信息 +

Semi-analytical analysis on free vibration of cantilever with particle damping based on multiscale method

  • TU Fu-bin1,2 BU Ling-fang1,2 LING Dao-sheng1,2
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摘要

被动式颗粒阻尼器原理简单、性能优越,广泛应用于结构减震领域。极端环境容易激起结构的高频振动,颗粒阻尼的非线性特性使得多模态振动的减振特性相互耦合。采用模态综合法分析自由端带集中质量块的悬臂梁、离散单元法模拟颗粒阻尼器中颗粒集的运动,基于多尺度分析的球-墙耦合模型建立了揭示结构多模态振动条件下颗粒阻尼减振机理的半解析分析模型。分析表明,颗粒阻尼器具有良好的减震效果,减振性能受结构振动模态影响很大。与单一模态振动减振性能相比,多阶模态振动同时存在时,低阶模态幅值的衰减出现了滞后,而高阶模态幅值的衰减则明显加快。因此,采用单一模态获得的等效阻尼比不足以表征复杂振动条件下颗粒阻尼器的减振性能。

Abstract

Passive particle damper with simple principle and well behavior is widely used for structure damping. In severe environment, high-frequency vibration of structure is easy excited and attenuation of oscilation with multi-mode is coupled because of the nonlinear character of particle damping. To reveal the mechanism of this phenomenon, model the cantilever with concentrate mass at free end by modal synthesis method and the motion of particle assembly by discrete element method. Then, semi-analytical model is established based on ball-wall model in multiscale theory. It’s indicated that particle damper is very effective for damping and the behavior of damper is related to mode of vibration through numerical analysis. When vibrations of multi-order modes exist simultaneously, comparing with one-mode oscilation, attenuation of low-order-mode amplitude is delayed, while attenuation of high-order-mode amplitude is fastened. It can be concluded that the equivalent damping ratio for one-mode vibration can’t represent the capacity of particle damping in complex vibration condition.

关键词

颗粒阻尼 / 多尺度方法 / 带集中质量块悬臂梁 / 离散单元法 / 多模态振动

Key words

particle damping / multiscale method / cantilever with concentrate mass / discrete element method / vibration with multi-mode

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涂福彬;卜令方;凌道盛;. 基于多尺度方法的带颗粒阻尼悬臂梁自由振动半解析分析[J]. 振动与冲击, 2013, 32(16): 134-139
TU Fu-bin;BU Ling-fang;LING Dao-sheng;. Semi-analytical analysis on free vibration of cantilever with particle damping based on multiscale method[J]. Journal of Vibration and Shock, 2013, 32(16): 134-139

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