水平弹性支承圆弧钢拱的平面内极限承载力研究

STUDY FOR IN-PLANE ULTIMATE STRENGTH OF STEEL CIRCULAR ARCHES WITH HORIZONTAL SPRING SU

  • 摘要: 支承于其他结构构件上的拱的支座约束可以用拱脚处的水平弹簧进行等效替代。利用ANSYS 有限元程序,在考虑了几何缺陷、残余应力和材料非线性的基础上,采用大挠度变形理论对水平弹性支承拱进行了研究,分析了其极限强度和失稳特征。针对工字形截面,研究了不同荷载工况下支座刚度对拱的承载力的影响,得到了两者之间的变化关系和极限状态下支座位移的计算公式。使用已有的两铰圆弧拱设计公式对弹性支承拱进行了验算,并提出了实用的简化设计准则。

     

    Abstract: Arches supported by other structural members can be considered to be supported elastically at both ends by horizontal springs. An elasto-plastic finite element model is established to study the in-plane ultimate strength and stability of steel circular arches with horizontal spring supports using large deformation theory by ANSYS. Initial geometric crookedness, residual stress and material inelasticity are considered in the investigation. The effects of the stiffness of the horizontal end restraints on the bearing capacity of arches with I-sections subjected to different load cases are studied. Based on the numerical results, formulas for displacement of supports under ultimate strength in terms of the stiffness of ends are proposed. The design equations for pin-ended arches proposed by other researches are used for elastically supported arches, and a simplified design criterion is presented.

     

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