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博碩士論文 etd-0904101-130055 詳細資訊
Title page for etd-0904101-130055
論文名稱
Title
圓形板混合型有限元素應力分析
stress analysis of mixed type finite element of circular plate
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
50
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2001-06-29
繳交日期
Date of Submission
2001-09-04
關鍵字
Keywords
均勻負載、有限元素、應力分析、混合型、圓形板
finite element, mixed type, stress analysis, circular plate, uniform loading
統計
Statistics
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The thesis/dissertation has been browsed 5645 times, has been downloaded 28 times.
中文摘要
摘 要

本論文中,強調混合型有限元素列式,不同於以往的傳統
位移型有限元素列式,可使應力如同位移,均成為主要的變數
。兩者間的應力分析,以工程觀點而言,除了邊界支撐處之外,
在垂直均勻負載情況下差別不大,主要差別在於位移型有限元
素列式不能滿足圓形板的應力邊界條件。因此,,愈靠近圓形
板外圍支撐處,位移型與混合型有限元素列式所得的應力分析
結果差異愈大。但由於在邊界支撐處往往會有大應力產生,因
而成為應力分析的焦點。本論文之方法可以完全滿足應力及位
移邊界條件,在理論上可以提供比較精確的應力分析結果。因
此,對於從事應力分析而言,本論文之方法可視為另一種更適
當的選擇。
 
Abstract
ABSTRACT

In the present study, it is emphasized that mixed-type finite element formulation, which is different from the conventional displacement-type formulation, has both displacements and stresses as its primary variables. Therefore, stress, as well as displacement boundary conditions, can be imposed easily and exactly. Except around the outer edge where support is placed, stresses obtained by both displacement and mixed formulation are close to each other when the circular plate is subject to transverse uniform loading. However, large discrepancies exist around the locations of constraints, where the stresses are always significant and critical. Since mixed formulation of the present study can completely satisfy the stress and displacement boundary conditions, it can theoretically provide more accurate stress analysis and should be considered as a more appropriate analysis tool.
目次 Table of Contents
目 錄

摘要 ………………………………………………………..i
目錄 ……………………………………………………….iii
表目錄 ………………………………………………………..v
圖目錄 ………………………………………………………..x
第一章 緒論 …………………………………………………1
1-1 前言 …………………………………………………1
1-2 文獻回顧 …………………………………………….1
1-2-1 古典平板理論 ……………………………………...1
1-2-2 一階平板理論 ……………………………………...2
1-2-3 高階平板理論 ……………………………………...3
1-2-4 彈性力學理論 ……………………………………...3
1-2-5 三維彈性力學有限元素法 ………………………...3
第二章 混合型有限元素列式…………………………………5
2-1 前言 ………………………………………………….5
2-2 理論推導 …………………………………………….5
第三章 問題解析 …………………………………………..12
3-1 問題描述 …………………………………………..12
第四章 結果與討論 ………………………………………..16
4-1 收斂試驗 …………………………………………...16
4-2 理論、位移型有限元素、混合型有限元素
三者結果之比較與討論 …………………………..17
第五章 結論與未來展望 …………………………………..44
5-1 結論 ………………………………………………...44
5-2 未來展望 …………………………………………...44
參考文獻 ……………………………………………………..45
附錄 ………………………………………………………… .48




參考文獻 References
參 考 文 獻


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〔9〕.P. C. Dumir and G. P. Dube and A. Mallick, “Axisymmetric postbuckling of moderately thick laminated annular plate using FSDT”, Composite Structures, vol.51, p.311-318, 2001.
〔10〕.J. M. Whitney and C. T. Sun,“A higher order theory for extentional motion of laminated composites”, ASME, Journal of Sound and Vibration, vol.30, p.85-97, 1973.
〔11〕.K. H. Lo etcs, “A higher-order theory of plate deformation, part2: laminated plates”, ASME, Journal of Applied Mechanics, vol.44, p.669-676, 1977.
〔12〕.J. N. Reddy, “A simple higher-order theory for laminated composite plates”, ASME, Journal of Applied Mechanics, vol.51, p.745-752, 1984.
〔13〕.S. P. Timoshenko and J. N. Goodier, “Theory of elasticity”, 3th ed, New York, 1970.
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〔15〕. C. F. Liu and G. T. Chen, “A simple finite element analysis of axisymmetric vibration of annular and circular plates”, Int. J. Mech. Sci. , vol.37﹙8﹚, p.861-871, 1995.
〔16〕.陳鼎融,“滿足應力邊界條件對圓形板及環形板軸對稱振動分析的影響”,碩士論文,中山大學機械工程研究所,中華民國八十九年六月。

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