徐冬冬, 王元清, 刘晓玲, 班慧勇, 刘明. 纵向变厚度(LP)矩形钢板弹性屈曲系数的理论分析[J]. 工程力学, 2020, 37(9): 173-183. DOI: 10.6052/j.issn.1000-4750.2019.10.0628
引用本文: 徐冬冬, 王元清, 刘晓玲, 班慧勇, 刘明. 纵向变厚度(LP)矩形钢板弹性屈曲系数的理论分析[J]. 工程力学, 2020, 37(9): 173-183. DOI: 10.6052/j.issn.1000-4750.2019.10.0628
XU Dong-dong, WANG Yuan-qing, LIU Xiao-ling, BAN Hui-yong, LIU Ming. THEORETICAL ANALYSIS OF THE ELASTIC BUCKLING COEFFICIENT OF RECTANGULAR LONGITUDINALLY PROFILED STEEL PLATES[J]. Engineering Mechanics, 2020, 37(9): 173-183. DOI: 10.6052/j.issn.1000-4750.2019.10.0628
Citation: XU Dong-dong, WANG Yuan-qing, LIU Xiao-ling, BAN Hui-yong, LIU Ming. THEORETICAL ANALYSIS OF THE ELASTIC BUCKLING COEFFICIENT OF RECTANGULAR LONGITUDINALLY PROFILED STEEL PLATES[J]. Engineering Mechanics, 2020, 37(9): 173-183. DOI: 10.6052/j.issn.1000-4750.2019.10.0628

纵向变厚度(LP)矩形钢板弹性屈曲系数的理论分析

THEORETICAL ANALYSIS OF THE ELASTIC BUCKLING COEFFICIENT OF RECTANGULAR LONGITUDINALLY PROFILED STEEL PLATES

  • 摘要: 纵向变厚度(LP)钢板因适应现代化建筑超高层及大跨度的发展使用需求,将广泛应用于工程结构中。因LP钢板几何形状的特殊性,其局部屈曲变形更容易发生在靠近薄端的位置,并且钢板局部稳定性能与相同受力状态下的等厚度钢板差异较大,需要进行深入研究。基于能量原理,采用Galerkin和Rayleigh-Ritz法(GRM),对单向均匀受压荷载作用下四种不同边界条件下的矩形LP钢板的弹性屈曲系数的计算公式进行了理论推导,并采用ANSYS有限元软件验证了公式的正确性。最后得到了不同厚度放大系数下,四种边界条件下的矩形钢板的弹性屈曲系数与钢板长宽比的关系曲线图,进一步为LP钢板的工程应用提供理论指导和设计依据。

     

    Abstract: Longitudinally profiled (LP) steel plates will be widely used in engineering structures due to their adaptation to the needs of modern buildings such as super high-rise and large span buildings. Because of the geometric characteristics, the local buckling deformation of LP steel plates is more likely to occur at positions near the thin end, and the performance of local stability is significantly different from that of the steel plates with a constant thickness under the same load case. As a consequence, the local stability problem of LP steel plates needs to be studied in depth. Based on the energy principle, the Galerkin and Rayleigh-Ritz method (GRM) is used in the theoretical formulae derivation of the elastic buckling coefficient, where the target rectangular LP steel plates are under uniaxial uniform compression and four different boundary conditions. The resultant formulas are verified by using finite element software ANSYS. The relationship curves between the elastic buckling coefficient of rectangular LP plates with different thickness parameters and length-to-width ratios are obtained, which provide a theoretical guidance and design basis for engineering applications of LP steel plates.

     

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