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设置惯容系统的非对称大跨悬挂结构风振响应分析

田翀 谭志强 卢兴龙 庞迎波 覃媛媛 葛新广

田翀, 谭志强, 卢兴龙, 庞迎波, 覃媛媛, 葛新广. 设置惯容系统的非对称大跨悬挂结构风振响应分析[J]. 应用数学和力学, 2025, 46(3): 310-323. doi: 10.21656/1000-0887.450078
引用本文: 田翀, 谭志强, 卢兴龙, 庞迎波, 覃媛媛, 葛新广. 设置惯容系统的非对称大跨悬挂结构风振响应分析[J]. 应用数学和力学, 2025, 46(3): 310-323. doi: 10.21656/1000-0887.450078
TIAN Chong, TAN Zhiqiang, LU Xinglong, PANG Yingbo, QIN Yuanyuan, GE Xinguang. Analysis of Wind Vibration Response of Large-Span Asymmetric Suspension Structures With Series Inerter Dampers[J]. Applied Mathematics and Mechanics, 2025, 46(3): 310-323. doi: 10.21656/1000-0887.450078
Citation: TIAN Chong, TAN Zhiqiang, LU Xinglong, PANG Yingbo, QIN Yuanyuan, GE Xinguang. Analysis of Wind Vibration Response of Large-Span Asymmetric Suspension Structures With Series Inerter Dampers[J]. Applied Mathematics and Mechanics, 2025, 46(3): 310-323. doi: 10.21656/1000-0887.450078

设置惯容系统的非对称大跨悬挂结构风振响应分析

doi: 10.21656/1000-0887.450078
基金项目: 

国家自然科学基金(51868007)

详细信息
    作者简介:

    田翀(1985—),男,高级工程师,硕士(E-mail: tianchong1110@163.com);庞迎波(1978—),男,副教授,硕士(通讯作者. E-mail: gxopalo@163.com).

    通讯作者:

    庞迎波(1978—),男,副教授,硕士(通讯作者. E-mail: gxopalo@163.com).

  • 中图分类号: TU317|TU352.1

Analysis of Wind Vibration Response of Large-Span Asymmetric Suspension Structures With Series Inerter Dampers

Funds: 

The National Science Foundation of China(51868007)

  • 摘要: 针对非对称大跨悬挂结构双向随机风振响应显著的问题,提出了一种利用惯容系统来抑制结构振动的策略,并针对减振体系随机风振响应分析方法复杂的现状,提出了一种简明分析法.首先,建立了顺风向脉动激励下结构水平和竖向耦合振动的动力学方程,借助有限元分析技术获得了大跨度悬挂结构的实模态动力参数,并基于实模态理论重构了减振体系的动力方程.其次,基于复模态法和虚拟激励法,获得了大跨度悬挂结构的位移、层间位移和惯容系统出力等响应量频域统一解,并基于功率谱的二次式分解法获得了上述响应量0阶、2阶和4阶谱矩和方差简明封闭解.最后,利用算例验证了所提封闭解的正确性,并基于此研究了惯容系统参数对抑制悬挂结构双向风振动的特征.研究表明,大跨悬挂结构的悬挂部分水平和竖向振动加速度均显著影响舒适度,工程设计时需要考虑双向振动,设置惯容系统可有效降低双向振动.
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出版历程
  • 收稿日期:  2024-03-28
  • 修回日期:  2025-01-10
  • 网络出版日期:  2025-04-02
  • 刊出日期:  2025-03-01

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