高階板理論於積層板之有限元素法挫屈分析

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Title:	高階板理論於積層板之有限元素法挫屈分析
Other Titles:	Buckling analysis of laminated composite plates according to a higher-order theory
Authors:	曾一平;丑倫彰
Contributors:	淡江大學土木工程學系
Keywords:	高階層板理論;臨界挫屈荷載;同面應力;Higher-order plate theory;Critical buckling load;In-plane stress
Date:	1994-06
Issue Date:	2013-03-12 11:15:26 (UTC+8)
Publisher:	新竹市：中華民國力學學會
Abstract:	本文以高階層板理論完成複合材料積層板之挫屈分析，但一般文獻中挫屈荷載為中面合力，因而常只採用 Von Karman 應變中有關垂直位移之項，本文則探討荷載為沿板厚度方向為等值的均佈同面應力，因而薄膜應變採用 Von Karman 應變之所有項，除了垂直位移外，亦涵蓋了同面位移之影響，故本文方式可完整地考慮高階層板理論之非線性位移場對積層板臨界挫屈荷載的影響；經由擾動的推導方式求得有限元素法控制方程式，並完成數值計算。在各種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。Buckling of the laminated plates is analyzed by the finite element method according to a higher-order plate theory. In most literatures, the in-plane critical buckling loads are usually the miaplane stress resultants, therefore only parts of Von Karman strains are included in the analysis, i.e. the terms due to the transverse deflection. In this paper, the critical buckling load is taken to be the in-plane stress uniformly distributed through the thickness. The complete Von Karman strains are then adopted. Effects of the nonlinear displacement field of the higher-order plate theory on the buckling loads can be fully interpreted. The finite element formulation is obtained by the perturbation technique. Numerical results are also presented for several benchmark problems. Good accuracy and fast convergence are observed.
Relation:	力學：中國力學學會期刊=The Chinese Journal of Mechanics 10(2)，頁145-154
Appears in Collections:	[Graduate Institute & Department of Civil Engineering] Journal Article

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