黄绪宏, 许维炳, 王瑾, 闫维明, 陈彦江. 考虑惯容的颗粒阻尼器等效力学模型及其受控结构稳态解研究[J]. 工程力学, 2021, 38(4): 136-149. DOI: 10.6052/j.issn.1000-4750.2020.06.0359
引用本文: 黄绪宏, 许维炳, 王瑾, 闫维明, 陈彦江. 考虑惯容的颗粒阻尼器等效力学模型及其受控结构稳态解研究[J]. 工程力学, 2021, 38(4): 136-149. DOI: 10.6052/j.issn.1000-4750.2020.06.0359
HUANG Xu-hong, XU Wei-bing, WANG Jin, YAN Wei-ming, CHEN Yan-jiang. EQUIVALENT MODEL OF MULTI-PARTICLE DAMPER CONSIDERING INERTER AND STEADY-STATE SOLUTION OF CONTROLLED STRUCTURE[J]. Engineering Mechanics, 2021, 38(4): 136-149. DOI: 10.6052/j.issn.1000-4750.2020.06.0359
Citation: HUANG Xu-hong, XU Wei-bing, WANG Jin, YAN Wei-ming, CHEN Yan-jiang. EQUIVALENT MODEL OF MULTI-PARTICLE DAMPER CONSIDERING INERTER AND STEADY-STATE SOLUTION OF CONTROLLED STRUCTURE[J]. Engineering Mechanics, 2021, 38(4): 136-149. DOI: 10.6052/j.issn.1000-4750.2020.06.0359

考虑惯容的颗粒阻尼器等效力学模型及其受控结构稳态解研究

EQUIVALENT MODEL OF MULTI-PARTICLE DAMPER CONSIDERING INERTER AND STEADY-STATE SOLUTION OF CONTROLLED STRUCTURE

  • 摘要: 颗粒阻尼技术因减振效果好、作用频带宽等优点使其在土木工程领域中具有良好的应用前景,然而因其具有高度复杂的非线性力学特性,并缺少合理的力学模型,限制了其在实际工程中的应用和发展。鉴于此,以土木工程应用为背景,在不考虑阻尼颗粒发生堆积的前提下,通过引入惯容器来考虑颗粒群滚动对阻尼器减振机理及减振效果影响,建立了考虑惯容的多颗粒阻尼器等效单颗粒力学模型;结合颗粒运动状态,分别进行了未碰撞时及碰撞发生后多颗粒阻尼器单自由度结构的响应分析,重点探讨了惯容系数对未碰撞时动力放大系数频响曲线及碰撞发生后周期2次碰撞稳态解析解的影响规律,并采用数值仿真和试验方法进行验证。结果表明,考虑惯容属性后等效模型能够进一步明晰多颗粒阻尼器由于颗粒群滚动引起的非线性特性,惯容系数对多颗粒阻尼器未碰撞时动力放大系数频响曲线及碰撞后周期运动解析解存在的边界条件及稳定性具有显著影响。进行的周期2次碰撞理论解析为颗粒阻尼器进一步参数影响分析及减振机理分析提供理论基础。

     

    Abstract: Multi-particle dampers have a good application prospect in the field of civil engineering structures because of their good damping efficiency and wide frequency band. However, the highly complex nonlinear mechanical properties and the lack of a reasonable mechanical model limit its application and development in practical engineering. In view of this, an equivalent single-particle mechanical model with inerter was established without considering the accumulation of particles. The introduction of inerter further considered the influence of particle rolling on the damping mechanism and effect. Then, the theoretical analysis of a single-degree-of-freedom structure with a multi-particle damper was carried out. The influence of inertance on the frequency response curve of displacement in the non-collision stage and the steady-state analytical solution of periodic collision after collision were analyzed emphatically. Numerical simulation and experimental research were also carried out to verify the correctness of the theoretical analysis. The results show that the equivalent model proposed can further clarify the nonlinear characteristics of the multi-particle damper after considering the inerter. The inertia coefficient has a significant influence on the frequency response curve of the controlled structure in the non-collision stage and the analytical solution (boundary and stability) of the periodic motion after collision. The steady-state analytical solution of periodic motion provides a theoretical basis for further parameter influence analysis and for damping mechanism analysis of particle dampers.

     

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