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调谐质量阻尼器在螺旋楼梯设计中的应用

Application of Tuned Mass Damper in Spiral Staircase Design

  • 摘要: 某螺旋楼梯采用2道楼面支撑梁和4根悬挂铰接吊杆形成的基本结构支撑体系。该结构柔度大、刚度弱,单点竖向激励及二阶人群荷载激励下产生了共振反应,无法满足业主对舒适度高标准要求。基于调谐质量阻尼器(简称TMD)减振原理,分析并论证了螺旋楼梯在单质量体系假定下设置单个TMD的理论减振率。在螺旋楼梯上合理的地方布置了6个质量为0.5 t的TMD阻尼器,并给出了TMD的最优设计参数,对螺旋楼梯的舒适度进行了有限元分析。结果表明,增设TMD后减振效果明显,加速度响应满足规范要求,能明显提高螺旋楼梯的人行舒适度。

     

    Abstract: A spiral staircase adopts a basic structural support system formed by 2 floor support beams and 4 suspended hinged suspension rods. The structure has high flexibility and weak stiffness, and resonance reactions occur under single point vertical excitation and second-order crowd load excitation, which cannot meet the high comfort standards required by the owner. Based on the principle of tuned mass damper (TMD) vibration reduction, analyzed and demonstrated the theoretical vibration reduction rate of a spiral staircase with a single TMD under the assumption of a single mass system. Six TMD dampers with a mass of 0.5 t were arranged in reasonable locations on the spiral staircase, and the optimal design parameters of TMD were given to conduct finite element analysis on the comfort of the spiral staircase. The results show that the addition of TMD has a significant vibration reduction effect, and the acceleration response meets the code requirements, which can significantly improve the pedestrian comfort of spiral stairs.

     

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