半穿式应急钢桁梁上弦杆面外屈曲临界力研究

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (17) : 96-104.

论文

赵曼1，陈士通2,3,4，孙志星2,3,4，许宏伟1，黄晓明5

作者信息 +

Out of plane buckling critical force of upper chord of a semi-through emergency steel truss beam

ZHAO Man1, CHEN Shitong2,3,4, SUN Zhixing2,3,4, XU Hongwei1, HUANG Xiaoming5

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文章历史 +

摘要

根据半穿式应急钢桁梁的结构特点和屈曲特征，将其上弦杆简化为侧向弹性支撑下的连续梁，考虑轴力分布、支撑条件及挠曲线形式建立四种平面模型，采用能量法推导其面外屈曲临界力解析解，并建立不同跨径半穿式应急钢桁梁整体模型，通过理论结果与仿真结果的对比分析，探讨各平面模型的优缺点及其适用性，旨在提出便于工程应用的屈曲临界力计算方法。研究结果表明：四种平面模型的稳定方程和屈曲临界力解析解形式各不相同；基于给出的临界刚度计算公式，结合实际支撑刚度和临界刚度的关系，可初步确定屈曲半波数；半穿式应急钢桁梁稳定性与跨径密切相关，线弹性稳定系数随跨径增大逐渐减小，且屈曲模态半波数有所增加，但失稳时上弦杆最大轴力基本保持不变；相比整体模型和文献算法，模型Ⅰ、Ⅱ结果过于保守不宜直接采用，模型Ⅲ、Ⅳ计算误差较小，由于模型Ⅳ计算过程繁复，而模型Ⅲ简单实用，综合考虑准确度和实用性，建议采用模型Ⅲ作为屈曲临界力计算的首选方法。

Abstract

According to the structural features and buckling features of half-through emergency steel truss girder, its upper chord was simplified as continuous beam under lateral elastic bearings. Four plane models were established considering axial force, bearing conditions and deflection curve equation. The analytical solutions of critical buckling load were derived using energy method. The whole models for half-through girder of different span were built. Through comparison between the theoretical results and simulation results, the advantages, disadvantages and their applicability were discussed in order to give an optimization method convenient for engineering application. The results show: they are different in the forms of stability equation and analytical solution for buckling load of four plane models; On the basis of calculation formula of critical stiffness, according to the relation between the actual stiffness and critical stiffness, the buckling half-wave number can be determined preliminarily. Stability of half-through girders is related to span. With the span increasing, linear elastic stability coefficient decreases gradually, and half-wave number of buckling mode slightly increased, but maximum axial force of upper chord basically remain unchanged. Compare with the whole model and method of document, calculation results of model Ⅰ and Ⅱ over-conservative, so they are not suitable to be used directly. Calculation error of model Ⅲ and Ⅳ is small. Calculation process of model Ⅳ is complex, and that of model Ⅲ is simple and practical. Comprehensively considered accuracy and practicality, model Ⅲ is recommended as preferred method for critical buckling force.

导出引用

赵曼1，陈士通2,3,4，孙志星2,3,4，许宏伟1，黄晓明5. 半穿式应急钢桁梁上弦杆面外屈曲临界力研究[J]. 振动与冲击, 2023, 42(17): 96-104

ZHAO Man1, CHEN Shitong2,3,4, SUN Zhixing2,3,4, XU Hongwei1, HUANG Xiaoming5. Out of plane buckling critical force of upper chord of a semi-through emergency steel truss beam[J]. Journal of Vibration and Shock, 2023, 42(17): 96-104

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