淡江大學機構典藏:Item 987654321/36292
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/36292


    Title: 高階層板理論之部分應力模態有限元素法
    Authors: 曾一平;吳志強
    Contributors: 淡江大學土木工程學系
    Keywords: 部分應力模態;高階板理論;正交性材料;積層板;橫向剪力;勁度矩陣;Partial Hybrid Stress Method;Higher Order Plate Theory;Orthotropic Material;Laminated Plate;Transverse Shear Stress;Stiffness Matrix
    Date: 1990-12
    Issue Date: 2010-01-11 10:40:54 (UTC+8)
    Publisher: 臺北市 : 中華民國力學學會
    Abstract: 本文將部分應力模態(Partial Hybrid Stress Method,PHSM)應用於高階層板理論。 針對直交異向性積層板,修正 Hellinger-Reissner principle,於撓曲部分 包含撓曲應力(.sigma./sub x/,.sigma./sub y/,.tau./sub xy/),橫向剪力部分則以橫向剪應力場 (.tau./sub xz/,.tau./sub yz/)假設之,經 由變分可推導得PHSM的元素勁度矩陣,在撓曲 部分為位移法勁度矩陣,而在橫向剪力部分則 是 hybrid法勁度矩陣。於薄板,中厚板及厚板 的位移與應力分析中,本文方法精確度與 hybrid法類似,但應力參數則減少許多。而本 法遠較位移法精確,更可改進沿積層板方向橫 向剪應力分布。
    The PHSM (Partial Hybrid Stress Method) Hellinger-Reissner principle applied to the higher-order plate theory is established for orthotropic laminated plates in this paper. .sigma./sub x/, .sigma./sub y/, .tau./sub xy/ are included in the flexural part, and assumed transverse shear stresses(.tau./sub xz/, .tau./sub yz/) are included in the transverse shear part. Through variation, the stiffness of PHSM is the assembly of the flexural stiffness by displacement formulation and of the transverse shear stiffness by hybrid formulation. For displacement and stress analysis of thin, moderately thick and thick laminated plates, PHSM obtains much better results than the finite element displacement formulation of higher-order plate theory. Moreover, the through thickness distribution of transverse shear stress is greatly improved.
    Relation: 中華民國力學學會第十四屆全國力學會議論文集(一)=Proceedings of the 14th National Conference on Theoretical and Applied Mechanics (I)，頁663-672
    Appears in Collections:[Graduate Institute & Department of Civil Engineering] Proceeding

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