基于改进半正弦模型的人致振动响应
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U441.3

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国家自然科学基金(11911530692);湖北省教育厅科学研究计划(Q20221305)


Human-Induced Vibration Response Analysis Based on the Enhanced Semi-Sine Model
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    摘要:

    为研究跳跃荷载对结构振动的影响,首先,提出了改进半正弦模型,建议了人群跳跃荷载模型特征参数;然后,推导了单人跳跃荷载作用下简支梁动力响应解析解;最后,以荆州市某人行天桥为例,对比了跳跃荷载作用下结构加速度响应试验值与数值解,验证了改进半正弦模型的适用性。研究结果表明:改进半正弦模型计算值与实测值的最大误差为2.8%,半正弦模型和半正弦平方模型的相应最大误差分别为23.4%和7.1%;跳跃频率为2.3 Hz时,跳跃荷载频率与结构的一阶自振频率接近,导致结构产生共振;在中高频段,改进半正弦模型响应结果与实测值更为接近;该类结果对跳跃荷载精确模拟具有参考借鉴意义。

    Abstract:

    In order to investigate the effects of jumping loads on structural vibrations. Firstly, an improved semi-sine model was proposed, and characteristic parameters for the crowd jumping load model were suggested. Next, an analytical solution for the dynamic response of a simply supported beam under a single person's jumping load was derived. Finally, using a pedestrian footbridge in Jingzhou City as an example, the experimental and numerical results of the structural acceleration response under jumping loads were compared to validate the applicability of the improved semi-sine model. The results show the improved semi-sine model exhibits a maximum error of 2.8% when compared to experimental measurements. In contrast, the semi-sine and semi-sine squared models exhibit corresponding maximum errors of 23.4% and 7.1%, respectively. At a jumping frequency of 2.3 Hz, the jumping load frequency closely approximates the first-order natural frequency of the structure, resulting in resonance within the structure. In the mid to high-frequency range, the response results of the improved semi-sine model closely align with experimental measurements. These results hold valuable insights for accurately simulating jumping loads.

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李智海,陈得意,黄仕平,等. 基于改进半正弦模型的人致振动响应[J]. 科学技术与工程, 2024, 24(18): 7874-7881.
Li Zhihai, Chen Deyi, Huang Shiping, et al. Human-Induced Vibration Response Analysis Based on the Enhanced Semi-Sine Model[J]. Science Technology and Engineering,2024,24(18):7874-7881.

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  • 收稿日期:2023-06-16
  • 最后修改日期:2024-03-28
  • 录用日期:2023-11-14
  • 在线发布日期: 2024-07-05
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