预应力自复位桥墩地震三维摇摆运动分析

SEISMIC ANALYSIS OF THREE-DIMENSIONAL ROCKING MOTION OF POSTTENSIONING SELF-CENTERING BRIDGE PIERS

  • 摘要: 预应力自复位(PSCR)桥墩是具有自复位功能、高能量耗散能力与良好抗震韧性的结构体系,采用无粘结后张拉(PT)技术实现自复位,并通过辅助耗能(ED)装置提升耗能性能。为探究PSCR桥墩在地震作用下的三维摇摆运动特征与破坏机理,该研究采用欧拉角和拉格朗日方程建立三维摇摆运动分析模型,以反映墩底面-面摇摆接触状态以及接触时的滚动耗能;在此基础上,进一步衍生出耗能摇摆体系(无PT筋)、纯预应力体系(无ED筋)和纯摇摆体系(无PT筋和ED筋)运动方程,对比各摇摆体系三维摇摆响应差异,揭示此类桥墩空间运动下的地震失效机理,并参数化分析了接触刚度及耗能对桥墩空间位移轨迹、PT筋力和ED筋应变的影响规律。结果表明:PSCR桥墩的地震摇摆响应具有显著空间效应,进动角φ决定运动轨迹方向,章动角θ控制位移幅值,而PT筋和ED筋均可有效减小位移轨迹并降低倾覆失效风险;PSCR桥墩空间运动时,接触刚度过大将导致桥墩由三维摇摆转变为高频竖向微幅跳动,接触阻尼过大则抑制ED筋的耗能作用,致使其不屈服。

     

    Abstract: Posttensioning self-centering (PSCR) bridge pier is a seismic-resilient structural system characterized by self-centering capability, high energy dissipation capacity and enhanced seismic performance. The self-centering behavior is achieved through unbonded posttensioning (PT) tendons, while supplemental energy dissipation (ED) devices are employed to improve ED. To investigate the three-dimensional (3D) rocking motion characteristics and failure mechanisms of PSCR piers under seismic excitations, this study establishes a 3D rocking motion analysis model using Euler angles and Lagrange’s equations in which the face-to-face rocking contact at the pier base and the rolling energy dissipation during contact are included. Based on this model, three additional rocking system variants are derived: the ED system (w/o PT tendons), the PT system (w/o ED bars) and the purely rocking system (w/o both PT tendons and ED bars). A comparative analysis of the 3D rocking responses of these systems is conducted to reveal the pier’s seismic failure mechanisms. A parametric study is performed to assess the influence of contact stiffness and ED on the spatial displacement trajectories, PT tendon forces and ED bar strains. The results indicate that the seismic rocking response of PSCR piers exhibits obvious spatial effects, where the precession angle φ determines the trajectory direction, while the nutation angle θ controls the displacement amplitude. Both PT tendons and ED devices effectively reduce displacements and mitigate overturning risks. Large contact stiffness causes the pier to transition from 3D rocking to high-frequency vertical micro-vibrations, whereas large contact damping suppresses the ED of bars, preventing their yielding.

     

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