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针对钢箱梁和混凝土薄壁箱梁受压翼缘的稳定问题,基于状态-空间向量法,提出了一种用于弹性支承连续矩形薄板弹性屈曲分析的计算方法。与有限条法结果对比,验证了该方法的可靠性。分析了跨间弹性支承刚度和布置以及荷载参数对屈曲的影响,结果表明:跨间弹性支承对连续矩形薄板屈曲影响明显,屈曲系数随着弹性支承刚度的增大呈非线性增长;等间距、等刚度布置弹性支承有利于板的稳定性,弹性支承的刚度或间距差别越大,对板的稳定性越不利;不同荷载工况下,弹性支承刚度-屈曲系数关系曲线的变化规律基本相同,弹性支承刚度较小时,荷载参数对屈曲系数影响显著,单向受压的屈曲系数可达双向等值受压的两倍。
Aiming at the stability of compression flanges of steel box girder and concrete thin-walled box girder, a calculation method based on state-space vector method is proposed for the elastic buckling analysis of elastic continuous thin slab. Compared with the results of the finite strip method, the reliability of the method is verified. The results show that the effect of span-to-span elastic support on the buckling of continuous rectangular thin plate is obvious, and the buckling coefficient increases non-linearly with the increase of elastic support stiffness. The results of equal spacing, Stiffness arrangement elastic support is conducive to the stability of the plate, the greater the difference of the elastic support stiffness or spacing, the less the stability of the plate; under different load conditions, elastic support stiffness - buckling coefficient curve is basically the same, When the elastic support stiffness is small, the load parameter has a significant effect on the buckling coefficient, and the buckling coefficient of the uniaxial compression can reach twice the bi-directional equivalent compression.