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楼板在人群行走振动下的加速度成为评价楼板结构适用性的重要指标。欧美规程对楼板振动问题采用单自由度的稳态响应分析方法,该方法过于简化,理论公式适用性不强。本文编制了可与有限元分析软件接口的人行荷载时程生成程序FVAP。基于多自由度楼板模型,实现人群行走致使楼板振动的时程分析方法,对特定边界条件、跨度及阻尼的楼板体系进行时程分析,并将计算结果与楼板人行荷载试验进行对比,表明该时程分析方法能较精确反映楼板人致振动的特性。本文还应用此方法对不同跨度、厚度及不同阻尼比的楼板结构进行算例分析,回归得出基于多自由度模型的楼板振动加速度反应谱计算公式。该公式适用于房屋建筑的楼板舒适度的评估,为实际工程中大跨度楼板的舒适度评估提出了具有工程意义的计算方法。
The acceleration of the floor under the walking vibration of the crowd becomes an important index for evaluating the suitability of the floor structure. Europe and the United States regulations on the floor vibration problem using a single degree of freedom steady-state response analysis method, the method is too simplistic, the applicability of the theoretical formula is not strong. In this paper, we have compiled the FVAP, a human-bank load time-history program that can be interfaced with the finite element analysis software. Based on multi-degree-of-freedom floor model, the time-history analysis method of floor vibration caused by crowd walking is implemented to analyze the time-history of slab system with certain boundary conditions, span and damping. The calculated results are compared with the load test of floor slab. Cheng analysis method can more accurately reflect the characteristics of floor vibration caused by people. In this paper, the floor structure of different span, thickness and different damping ratio is also calculated and analyzed by this method. The formula of floor vibration acceleration response spectrum based on multi-degree of freedom model is obtained by regression. The formula is suitable for the evaluation of the floor comfort of the house building, and proposes an engineering calculation method for the comfort evaluation of the large-span floor slab in the actual project.