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首页> 外文期刊>The HKIE Transactions >Revisiting the moment distribution method: buckling of beams and frames
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Revisiting the moment distribution method: buckling of beams and frames

机译：重新审视时刻分布方法：横梁和框架屈曲

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摘要

It is known that when a structure is in neutral equilibrium, only infinitely small disturbing forces are required to maintain the structure in the buckled mode. By making use of this basic principle, it is proposed in this paper that the moment distribution method (MDM) can be further extended, as a complementary and handy tool, to calculate the critical elastic buckling loads of beam- and frame-type structures. To this end, the effect of axial forces are taken into account through classical stability functions. By assuming an initial axial force distribution, the fixed-end moments, carry-over factors and member stiffness are computed accordingly. Moment distribution is then performed in the usual way, except that repeated trials with different axial forces are necessary until the critical value is found. To demonstrate the concept and implementation of the method, continuous beams and portal frames with side sway are considered in this paper. In the numerical examples presented herein, the buckling loads found are compared with those obtained from commercial software so as to demonstrate that the MDM is a simple, accurate and physically-intuitive method for assisting engineering students and practising engineers with understanding the behaviour of structures and providing a quick check to output from commercial software.
机译：众所周知，当结构处于中性平衡时，仅需要无限的令人不安的力来维持在屈曲模式下的结构。通过利用这种基本原理，提出了本文的瞬间分布方法（MDM）作为互补和方便的工具，可以进一步延长，以计算光束和框架型结构的临界弹性屈曲负载。为此，通过经典稳定功能考虑轴向力的效果。通过假设初始轴向力分布，相应地计算固定矩，传递因子和成员刚度。然后以通常的方式进行时刻分布，除了在找到临界值之前需要具有不同轴向力的重复试验。为了证明该方法的概念和实施，本文考虑了具有侧摇摆的连续梁和门架框架。在本文提出的数值示例中，将屈曲负载与从商业软件获得的那些进行比较，以便证明MDM是一种简单，准确和物理直观的方法，用于协助工程学生和练习工程师了解结构的行为和练习工程师快速检查从商业软件输出。

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