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基于弹性约束的轻质楼盖人致振动舒适度控制
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Human-Induced Vibration Serviceability Control of Lightweight Floors Based on Elastic Constraints
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    摘要:

    考虑感知者、行人和结构三者相互的动力耦合作用,形成行人-楼盖-感知者全路径耦合振动模式,以概率的形式评估了轻质楼盖的振动舒适度,并对楼盖的过量振动采用弹性约束进行了控制.为体现弹性约束对楼盖人致过量振动的有效性,采用TMD控制与其进行对比. 用DQ-IQ法处理建立的行人-楼盖-感知者耦合振动控制方程,以CFS组合楼盖为计算模型,得到当行人以不同步频在楼盖上行走时楼盖跨中与感知者的动力响应,并对比了采用TMD和弹性约束时的控制效果.以舒适度限值为参照标准,统计了在这两种控制措施下楼盖与感知者满足舒适度限值时的累积概率.结果表明,对于轻质楼盖,在刚度系数分别取0.5和3时,楼盖满足舒适度要求的概率由13.57%增加到86.98%,感知者的舒适度概率由11.75%增加到79.86%,极大程度地提高了舒适度概率,可为设计时边界条件转动刚度的选取提供参考. 在刚度系数取2时,楼盖的舒适度概率为68.80%,而感知者的舒适度概率仅为57.97%,相差10.83%. 在考虑人致振动时,感知者相对于结构在同等条件下更容易产生舒适度问题,建议在舒适度评估时增加感知者的加速度峰值.

    Abstract:

    Considering the dynamic interaction among receivers, pedestrians, and the structure, a pedestrian-floor-receiver full-path interaction vibration model is established. The vibration serviceability of the lightweight floor is evaluated in the form of probability. The excessive vibration of the floor is controlled by elastic constraints. To demonstrate the effectiveness of the elastic constraints in mitigating excessive vibration of the floor, a comparison is made with the tuned mass dampers (TMD) control. The DQ-IQ method is used to solve the pedestrian-floor-receiver coupled vibration control equations. The CFS combined floor is used as the computational model to obtain the dynamic response of the floor mid-span and the receiver when the pedestrian walks on the floor at different step frequencies, and the control effects are compared when TMD and elastic constraints are used. The cumulative probability of the floor and the receiver satisfying the serviceability limits under these two control measures were calculated with the serviceability limits as the reference standard. The results show that for the lightweight floor,when the stiffness coefficient is 0.5 and 3, the serviceability probability of the floor increases from 13.57% to 86.98%, and the serviceability probability of the receiver increases from 11.75% to 79.86%, which greatly improves the serviceability probability. It can provide a reference for the selection of rotational stiffness of boundary conditions in design. When the stiffness coefficient is 2, the serviceability probability of the floor is 68.80%, while the serviceability probability of the receiver is only 57.97%, and the difference is 10.83%. The receiver is more likely to have serviceability problems than structures under the same conditions when considering human-induced vibration. Therefore, it is suggested to increase the peak acceleration of the receiver in the serviceability evaluation.

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蒲兴龙 ?,何天虎 ,朱前坤 ,杜永峰 .基于弹性约束的轻质楼盖人致振动舒适度控制[J].湖南大学学报:自然科学版,2023,(7):68~76

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  • 在线发布日期: 2023-07-31
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