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系統識別號 U0026-0106201014074800
論文名稱(中文) 應用改良Pagano方法於 功能性梯度焦電彈材料殼與板受溫度載重作用下之三維理論解
論文名稱(英文) A Modified Pagano Method for the Three-Dimensional Solutions of Functionally Graded Piezo-Thermo-Elastic Shells and Plates Under Thermal Loads
校院名稱 成功大學
系所名稱(中) 土木工程學系碩博士班
系所名稱(英) Department of Civil Engineering
學年度 98
學期 2
出版年 99
研究生(中文) 黃紹恩
研究生(英文) Shao-En Huang
學號 N6697415
學位類別 碩士
語文別 中文
論文頁數 42頁
口試委員 指導教授-吳致平
口試委員-王永明
口試委員-胡宣德
中文關鍵字 Pagano古典法  三維解析解  焦電彈耦合分析  功能性材料  熱傳導     
英文關鍵字 Pagano  piezo-thermo-elastic  FG  Shells  Plates 
學科別分類
中文摘要 本文以改良Pagano方法探討一簡支承、功能性焦電彈材料雙曲率殼在溫度載重下的三維耦合行為。考慮四種不同的殼側向邊界條件,且功能性材料殼的材料性質沿著厚度方向視為非均質,且遵照指數律分佈。過往的Pagano法多用來分析多層疊合複合材料板/殼的應力行為,經過改良後可用來分析功能性焦-電-彈材料板/殼。此改良包括:以Reissner混合變分原理替代以位移為主變數之虛位移原理,將系統方程式的複數型解轉換成對應的實數型解、採用連續近似法與發展傳遞矩陣法使適用於功能性材料殼的熱傳導分析和焦電彈耦合分析。本文亦探討材料梯度指數的變異對耦合行為中各場量變數之影響。
英文摘要 A modified Pagano method is developed for the three-dimensional (3D) coupled analysis of simply-supported, doubly curved functionally graded (FG) piezo-thermo-elastic shells under the thermal loads. Four different surface conditions on the lateral surfaces of the shells are considered. The material properties of FG shells ard regarded as heterogeneous through the thickness coordinate, and then specified to obey an exponent-law dependence on this. The Pagano method conventionally used for the analysis of multilayered composite elastic plates/shells is modified to be feasible for the present analysis of FG piezo-thermo-elastic plates/shells. The modifications include that a displacement-based formulation is replaced by a mixed formulation, a set of the complex-valued solutions of the system equations is transferred to the corresponding set of real-valued solutions, a successive approximation (SA) method is adopted and introduced in the present analysis, and the method of propagator matrix is developed for the heat conduction analysis ans the coupled piezo-thermo-elastic analysis of the FG shells. The influence of the material-property gradient index on the field variables induced in the FG piezo-thermo-elastic shells and plates under the thermal load is
studied.
論文目次 中文摘要 I
英文摘要 II
誌謝 III
目錄 IV
表目錄 VI
圖目錄 VII
第一章 緒論 1
第二章 三維焦電彈材料基本方程式 4
2.1 基本方程式 4
2.2 無因次化 7
第三章 改良Pagano方法 11
3.1 雙傅立葉級數展開法 11
3.2 齊性與非齊性線性方程組理論 12
3.2.1 齊性線性方程系統 12
3.2.2 非齊性線性方程系統 12
3.3 連續近似法 13
3.4 傳遞矩陣法 14
3.4.1 熱傳導分析 14
3.4.2 耦合焦-電-彈分析 15
第四章 數值範例 17
4.1 單層均質焦電彈材料殼 17
4.2 功能性焦電彈材料板 17
4.3 功能性焦電彈材料殼 18
第五章 結論 19
參考文獻 20
表 23
圖 27
附錄 A 40
附錄 B 41
自述 42


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