基于序列最优控制算法的隔震曲线梁桥非线性振动控制研究
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1.兰州理工大学 西部土木工程防灾减灾教育部工程研究中心;2.兰州理工大学 防震减灾研究所;3.中国市政工程西北设计研究院有限公司

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国家自然科学基金项目(51778276)


Research on Nonlinear Vibration Control of Isolated Curved Beam Bridge Based on Sequential Optimal Control algorithm
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Affiliation:

1.Western Engineering Research Center of Disaster Mitigation in Civil Engineering, Lanzhou University of Technology;2.Institute of Earthquake Protection and Disaster Mitigation, Lanzhou University of Technology;3.China Municipal Engineering Northwest Design& Research Institute Co. Ltd

Fund Project:

The National Natural Science Foundation of China(51778276)

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    摘要:

    强震作用下隔震曲线梁桥会产生较大的弹塑性变形,需要采取一定的控制措施以保证其安全性。采用经典的Bouc-Wen模型,建立考虑上部结构偏心的隔震曲线梁桥的非线性动力方程,求解罕遇地震作用下结构的动力响应。针对隔震曲线梁桥罕遇地震作用下产生的较大弹塑性变形,建立隔震曲线梁桥的非线性振动控制方程,将该方程等效线性化后采用序列最优控制算法(SOC)和经典线性最优控制(COC)对桥梁进行振动控制研究。结果表明:在罕遇地震下,隔震曲线梁桥的下部结构与隔震层都已屈服进入塑性阶段,且有少量的残余位移产生;序列最优控制算法和经典线性最优控制都能有效地减小隔震曲线梁桥弹塑性状态下的平动位移与残余位移,并有效抑制曲线桥的扭转效应,其中序列最优控制算法较经典最优控制更能显著削减隔震曲线梁桥的峰值响应。

    Abstract:

    The isolated curved beam bridge will produce large elastic-plastic deformation under strong earthquakes, thus certain control measures need to be taken to ensure its safety. The classical Bouc-Wen model was used to establish the nonlinear dynamic equation of isolated curved beamSbridge considering upper structure’s eccentricity, and the dynamic response of the structure under the action of rare earthquake was solved. In view of the large elastic-plastic deformation caused by strong earthquakes, the nonlinear vibration control equation of isolated curved beam bridge was established. And after equivalent linearizing of the equation, sequential optimal control algorithm (SOC) and classical linear optimal control (COC) were used to to study the vibration control of the bridge. The results show that when the isolated curved beam bridge was subjected under rare earthquakes, the lower structure and the isolation layer of the curved bridge have entered the plastic stage and a small amount of residual displacement has been generated. Both the sequential optimal control algorithm and classical linear optimal control can effectively reduce the horizontal displacement and residual displacement of the isolated curved beam bridge in the elastic-plastic condition, and effectively restrain the torsional effect of it, among which the sequential optimal control algorithm can significantly reduce the peak response of the curved bridge compared with the classical optimal control algorithm.

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  • 收稿日期:2020-09-24
  • 最后修改日期:2021-05-16
  • 录用日期:2021-08-04
  • 在线发布日期: 2022-11-10
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