非线性材料薄壁 I 形截面构件相关屈曲变分模型

Variational model on mode interaction in long I-section struts with material nonlinearity

摘要

冷弯薄壁构件极易受多种失稳模态相关作用的影响，对不同截面形式及材料类型的构件相关屈曲力学机理研究亟需完善与发展。建立综合考虑材料非线性、几何非线性、整体初始几何缺陷及翼缘与腹板连接刚度等影响的薄壁 I 形截面细长构件精确变分模型，并以此分析相关屈曲及后屈曲荷载-位移曲线，极限承载力及板件局部屈曲波。结果表明：材料名义屈服强度对构件后屈曲承载力影响较大；整体初始缺陷对构件极限承载力影响较大，对后屈曲承载力影响较小。板件局部屈曲波长随后屈曲承载力的下降而减小。采用变分模型对既有试验进行了模拟，模拟结果与试验结果吻合度较高，验证了模型的准确性。模型揭示了薄壁构件非线性整体-局部相关屈曲全过程力学机理，为研究和设计提供理论基础。

Abstract

Cold-formed thin-walled members are vulnerable when two or more buckling modes are triggered simultaneously. Research on the mechanical behavior of interactive buckling in members with different types of cross-sections and materials needs to be developed. An accurate variational model of thin-walled I-section slender members is established, which comprehensively considers the effects of material nonlinearity, geometric nonlinearity, global initial geometric imperfections, and the stiffness of flange-web connections. Based on the presented model, the load-displacement curves, ultimate capacities, and local buckling waves are analyzed. The results show that the nominal yield strength of materials has a great influence on the post buckling capacity of members. The global initial imperfection has a greater influence on the ultimate capacities of members, but a smaller influence on the post-buckling capacities. The local buckling wavelengths of the flanges decline as the post-buckling capacities decrease. Some published experiments are simulated by the variational model. The simulation results compare excellently with the experiment results, which verifies the accuracy of the model. The model reveals the mechanical mechanism in the whole process of nonlinear global-local mode interaction, providing theoretical foundation for structural design and further research.

关键词

结构稳定性 / 薄壁构件 / 相关屈曲 / 材料非线性 / Ramberg-Osgood 模型

Key words

structural stability / thin-walled member / mode interaction / material nonlinearity / Ramberg-Osgood model

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基金资助

国家自然科学基金资助项目(52008244)

上海市科技创新项目(20DZ1201301)

上海市科技创新项目(21DZ1204704)

四川省区域创新合作项目(2022YFQ0048)