教師資料查詢 | 類別: 會議論文 | 教師: 曾一平 TSENG YI-PING (瀏覽個人網頁)

標題:雙模數積層板之有限元素法挫屈分析
學年84
學期1
發表日期1995/12/14
作品名稱雙模數積層板之有限元素法挫屈分析
作品名稱(其他語言)The Stability Analysis of Bimodulus Laminates by a Higher- Order Plate Element
著者曾一平; 曾鴻霖; 江玉琴
作品所屬單位淡江大學土木工程學系
出版者臺北縣淡江大學航空工程學系
會議名稱第一屆海峽兩岸航空太空學術研討會
會議地點臺北縣, 臺灣
摘要基於高階板理論,本文探討雙模數積層板之有限元素法挫屈分析。由於雙模數複合材料性質具有不同的伸張和壓縮彈性模數,因而中性面不固定於板幾何中面上,其需以疊代法求之。本文探討挫屈荷載為沿板厚度方向為等值的均佈同面應力,因而相對應的薄膜應變可完整地表現高階板理論之非線性位移場對臨界挫屈荷載的效果。經由擾動的觀念,推導得有限元素法控制方程式,於具有不同模數比及寬厚比之雙模數層板臨界挫屈荷載之實例分析中,得到與理論解非常接近的結果,故可證實本文所發展的有限元素法之精確性與適用性。
In this paper, a higher-order plate element has been developed to analyze the critical buckling loads of the bimodulus laminates. The bimodular material exhibits load- dependent elastic properties, i. e. the tensile Young's modulus is different from the compressive modulus. It makes the behaviour of bimodulus laminates a nonlinear problem. Therefore, the neutral plane of the plate is not fixed in the midplane surface. The neutral surface is then determined by the iterative method herein. An uniform in-plane stresses are assumed distributed through the thickness in the buckling analysis. Through the purtabation technique, the governing finite element equations for the stability analysis becomes a generalized eigenvalue problem. To demonstrate the accuracy and efficiency of the present study, several benchmark problems are illustrated. Simple-supported square laminates of different span-to-width ratios and modulus ratios are investigated. The locations of neutral surfaces and the critical buckling loads are evaluated. Compared to the analytical solutions, excellent results and fast convergence are observed.
關鍵字高階板理論;雙模數積層板;臨界挫屈負載;有限元素法;High Order Plate Theory;Bimodulus Laminate;Critical Buckling Load;Finite Element Method
語言中文
收錄於
會議性質兩岸
校內研討會地點淡水校園
研討會時間19951214~19951215
通訊作者
國別中華民國
公開徵稿Y
出版型式紙本
出處第一屆海峽兩岸航空太空學術研討會論文集頁243-250
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