文颖, 周志伟, 何文杰. 基于连续支承压杆模型的轴心受压柱局部屈曲分析. 力学与实践, 2023, 45(3): 627-631. DOI: 10.6052/1000-0879-22-374
引用本文: 文颖, 周志伟, 何文杰. 基于连续支承压杆模型的轴心受压柱局部屈曲分析. 力学与实践, 2023, 45(3): 627-631. DOI: 10.6052/1000-0879-22-374
Wen Ying, Zhou Zhiwei, He Wenjie. Local buckling investigating of the centrally loaded column using a continuously supported strut model. Mechanics in Engineering, 2023, 45(3): 627-631. DOI: 10.6052/1000-0879-22-374
Citation: Wen Ying, Zhou Zhiwei, He Wenjie. Local buckling investigating of the centrally loaded column using a continuously supported strut model. Mechanics in Engineering, 2023, 45(3): 627-631. DOI: 10.6052/1000-0879-22-374

基于连续支承压杆模型的轴心受压柱局部屈曲分析

LOCAL BUCKLING INVESTIGATING OF THE CENTRALLY LOADED COLUMN USING A CONTINUOUSLY SUPPORTED STRUT MODEL

  • 摘要: 轴心受压柱局部屈曲分析,一般根据薄板理论建立板件屈曲微分方程,构造满足边界条件的位移场,获得屈曲临界载荷解析解,不仅推导繁琐且不便直观地揭示受压板件屈曲特征及控制参数。本文建立单位宽度受压板条的连续支承压杆模型,将二维板件屈曲问题转化为学生较熟悉的一维压杆屈曲分析。基于连续支承压杆临界载荷的解析解,方便识别典型非加载边约束下板件屈曲半波数。本文旨在深化理解受压板件屈曲性能。

     

    Abstract: The investigation of local buckling for centrally loaded column primarily involves the formulation of the governing differential equations of the buckled slab component based on the theory of thin plates, establishment of the displacement field satisfying the boundary conditions, and analytical solution of the critical buckling load. The determination of critical load is not only complicated by the cumbersome mathematical manipulations, but also not convenient for highlighting the local buckling characteristics and controlling factors of an axially compressed column. In this work, a continuously supported strut model has been presented to transform the local buckling of two-dimensional slab into the flexural buckling of one-dimensional compressed bar of unit width that was well understood by engineering students. Based on the buckling load analytically derived from the proposed model, the number of half waves in the direction of compression can be conveniently identified for thin plates with typical restraints along unloaded boundaries. The present work aims to deepen the understanding of the local buckling behavior of centrally loaded columns.

     

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