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根据文献[1]提出的任意开口薄壁截面圆弧曲梁的翘曲位移表达式,本文利用能量原理导出了单轴对称工字形截面拱的稳定平衡方程。文中主要对工字形截面拱在均布径向荷载 (均匀受压 )和两端作用大小相等、方向相反的端弯矩 (均匀弯曲 )条件下的弯扭屈曲进行分析,给出临界荷载的理论解答;考虑了工字形截面不同放置时拱失稳模式的不同,分析截面不对称性对临界荷载的影响,并与已有的文献进行比较。
According to the warping displacement expression of an arbitrary curved thin-walled circular arc curved beam with any opening proposed in [1], this paper deduces the steady equilibrium equation of uniaxial symmetrical I-shaped arch with energy principle. In this paper, the flexural and torsional buckling of I-shaped cross-section arches under uniform radial load (uniform compression) and equal and opposite end bending moments (uniform bending) are analyzed, and the theory of critical load The influence of cross-section asymmetry on critical load is analyzed and compared with the existing literature.