基于弯曲梁-集中质量剪切模型的框架-摇摆墙结构抗震性能研究

STUDY ON SEISMIC PERFORMANCE OF FRAME ROCKING WALL BASED ON BENDING BEAM-SHEAR LUMPED-MASS MODEL

  • 摘要: 利用摇摆构件控制框架结构变形模式可有效提高其抗震性能。为了深入研究框架-摇摆墙受力及变形机制,基于弯曲梁-集中质量剪切模型建立框架-摇摆墙结构地震分析模型,按结构顶层位移推导体系等效单自由度运动方程。考虑框架刚度非均匀分布,利用数值迭代实现框架-摇摆墙变形协调,建立结构地震反应谱分析模型。考虑楼层弹塑性力学行为,按顶层位移求解结构基底剪力,建立框架-摇摆墙静力弹塑性分析模型,实现自适应侧力模式。以某10层框架(-摇摆墙)为算例,结合有限元分析,验证模型合理性,讨论摇摆墙抗弯刚度及框架刚度分布对结构地震效应的影响,评估其抗震性能,分析推覆全过程结构变形及内力演化规律。研究发现:基于弯曲梁-集中质量剪切模型建立的分析模型能合理反映地震作用下框架-摇摆墙结构内力分布及变形演化规律。合理设计框架刚度分布可降低摇摆墙刚度及内力需求。框架变形不均匀性随塑性发展降低,但摇摆墙内力需求随之提升。该文参数范围内,摇摆墙剪力控制截面与框架最大位移角位置具有一致性,而弯矩控制截面产生于框架底部最大层侧移刚度位置处。

     

    Abstract: Using rocking components to control the deformation mode of frame structures can effectively improve their seismic performance. In order to further study the mechanical behavior and deformation mechanism of the frame-rocking wall, a bending beam-shear lumped-mass model is established. The equivalent single degree of freedom motion equation is derived according to the lateral displacement of the top floor. Considering the non-uniform distribution of story stiffness, the numerical iteration algorithm is used to achieve deformation compatibility between the frame and the rocking wall, and a seismic response spectrum analysis model is established. Considering the elastic-plastic mechanical behavior of the story, the structural base shear force is calculated based on the top displacement, and a push-over analysis model is established,adaptive lateral force mode is achieved. A ten-story (rocking wall) frame is taken as an example, compared with the finite element analysis result, the rationality of the analysis model is verified. The influence of the rocking wall bending stiffness and the distribution of frame stiffness on the structural seismic response is discussed, and its seismic performance is evaluated. The deformation and internal force evolution law of the structure during the entire process of push-over are analyzed. Research reveals that the analysis models established based on the bending beam shear lumped-mass model can reasonably reflect the frame-rocking wall structure's internal force distribution and deformation evolution. Reasonably designing the frame stiffness distribution can reduce the stiffness and internal force demand of the rocking wall. The non-uniformity of deformation decreases with the development of frame plasticity, but the internal force demand of the rocking wall increases accordingly. Within the scope of this research, the position of the shear control section of the rocking wall is consistent with that of the frame maximum story drift, and the bending moment control section is generated at the maximum lateral stiffness position at the bottom of the frame.

     

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