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    Title: 高階梁理論於三明治梁之有限元素法挫屈分析
    Authors: 曾一平;曾鴻霖;林志仁
    Contributors: 淡江大學土木工程學系
    Keywords: 高階梁理論;挫曲分析;三明治梁;有限元素法;結構力學;位移場;挫曲負載;Higher-Order Beam Theory;Buckling Analysis;Sandwich Beam;Finite Element Method;Structural Mechanics;Displacement Field;Buckling Load
    Date: 1993-10
    Issue Date: 2014-02-08 19:33:16 (UTC+8)
    Abstract: 本文以高階梁有限元素法完成三明治梁之 挫屈分析,但一般文獻中挫屈荷載為中間軸合 力,本文則探討荷載為沿梁深度方向為均佈的 軸向應力,因而相對應的薄膜應變乃包含梁剖 面上為非線性變化之位移場之影響,故本文方 式可完整地考慮高階梁理論之非線性位移場對 梁臨界挫屈荷載的影響;經由擾動的觀念,可推 導得與前人不相同之有限元素法控制方程式, 並完成數值計算。與理論解比較在對稱堆疊三 明治梁臨界挫屈荷載實例分析中,本法皆顯現極佳的收斂性及精確度。
    In this paper, the higher-order beam theory is used in the buckling analysis of sandwich beam. Instead of midplane force, the buckling loading is considered to be uniformly distributed stress through the thickness. Accordingly, the corresponding membrane strain includes the effect of warping on the buckling load. The finite element formulation is derived through perturbation. Compared with the analytical solution, excellent accuracy and fast convergence are observed in the present study.
    Relation: 八十二年電子計算機於土木水利工程應用論文研討會論文=集(二)=Proceedings of the Conference on Computer Applications in Civil and Hydraulic=Engineering (Volume 2)
    Appears in Collections:[土木工程學系暨研究所] 會議論文

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