半刚性节点单层网壳杆件壳体面外计算长度系数研究

STUDY ON THE OUT-OF-PLANE EFFECTIVE LENGTH FACTOR OF SEMI-RIGID JOINT SINGLE-LAYER LATTICED SHELL MEMBERS

  • 摘要: 杆件计算长度系数是验算杆件稳定性的关键参数之一,因此如何确定计算长度系数是单层网壳结构设计中的一个重要问题。该文基于结构弹性稳定理论,推导出半刚性节点的单层网壳杆件壳体面外计算长度计算公式,并得到半刚性节点单层网壳杆件壳体面外计算长度和节点转动刚度的关系。基于有限元模拟,对不同网壳类型、杆件位置、杆件截面、矢跨比和节点转动刚度的单层网壳开展屈曲分析,根据杆件局部屈曲承载力和欧拉公式,反推出杆件壳体面外的计算长度系数,进而得到各项参数与杆件计算长度系数的变化关系。综合理论计算和数值模拟结果,得到计算长度放大系数和节点转动刚度的关系曲线,拟合得到计算长度放大系数的计算公式,并结合规范给出了半刚性节点单层网壳杆件壳体面外计算长度系数的实用计算公式。

     

    Abstract: The effective length factor is a crucial parameter for calculating the stability of members, and how to determine the effective length factor is an important issue in the design of single-layer latticed shells. Based on the structural elastic stability theory, this article derives the formula for calculating the out-of-plane effective length factors for semi-rigid joint single-layer latticed shell members and establishes the relationship between the effective length factors and the rotational stiffness of joints. Finite element buckling analyses are performed on single-layer latticed shells with varying characteristics, including shell types, member positions, member sections, rise-span ratios and rotational stiffness of joints. The effective length factors are determined based on the local buckling capacities of members and Euler’s formula, and the relationships between the effective length factors and various parameters are obtained. By combining theoretical and numerical results, both the relationship curve and the fitting formula for the effective length amplification factor and the rotational stiffness of joint are established. Subsequently, a practical calculation formula for the out-of-plane effective length factor of members of single-layer lattice shell with semi-rigid joints is proposed according to the specifications.

     

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