Duality between time and frequency domains for vibration serviceability analysis of floor structures
Duality between time and frequency domains for vibration serviceability analysis of floor structures
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楼板结构振动适用性分析的时域和频域对偶
DOI：
10.1016/j.proeng.2017.09.517
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Al-Anbaki A
中科院分区：
文献类型：
--
作者：
Al-Anbaki A
对于楼板的振动舒适性，目前的设计指南采用不同的标准来评估人体行走动态激励引起的振动水平。无论采用的标准是什么，它都需要结构的量化振动响应。这种量化可以在响应分析的时间域或频域方法之后实现。每种方法都有其优点和缺点。例如，当使用时间域分析时，可以量化响应时间历史的准确的时间域幅度，但这一过程可能需要时间。另一方面，频域分析方法可以减少计算时间，但不可能恢复响应的准确时域幅值，其本质上是通过计算过程进行平均的。本文以楼板结构的振动舒适性为背景，对时频域的理论对偶性进行了实际检验。在仪表式跑步机上测量的由于行走而产生的重量归一化垂直地面反作用力(GRF)用于此目的，因为它在频域中具有真实的能量分布。将该方法应用于钢筋混凝土高频楼盖的有限元模型，通过时、频域分析计算了结构的动力响应。两种方法的比较表明，时域分析会给计算的振动响应带来较大的误差。这是由于运动方程数值解的误差所致。
For vibration serviceability of floors, current design guidelines adopt different criteria to assess vibration levels due to human walking dynamic excitation. Whatever the adopted criterion is, it requires a quantified vibration response of the structure. This quantification could be achieved following either a time- or a frequency-domain approach to response analysis. Each approach has its advantages and disadvantages. For instance, when using the time-domain analysis, exact time-domain amplitudes of the response time histories could be quantified but the process could take time. On the other hand, a frequency-domain analysis approach could reduce the calculation time, but it is impossible to recover exact time-domain amplitudes of the response, which is essentially averaged by the process of calculation. In this paper, the theoretical duality between time and frequency domains is examined practically in the context of vibration serviceability of a floor structure. Weight-normalised vertical ground reaction force (GRF) measured on an instrumented treadmill due to walking is used for that purpose because it has realistic distribution of energy in the frequency domain. This GRF is applied on a finite element model of a reinforced concrete high-frequency floor and the responses are calculated via both time and frequency domain analyses. Comparison of these two methods reveals that time-domain analysis could introduce significant errors in the calculated vibration responses. This is due to the errors in the numerical solution of equation of motion.
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