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Design, Analysis, Fabrication and Testing of Strain-Gauged Extensometer 陳英諺、劉勝安

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Design, Analysis, Fabrication and Testing of Strain-Gauged Extensometer 陳英諺、劉勝安

E-mail: [email protected]

ABSTRACT

This study is mainly aimed at the design, analysis, fabrication, and testing of a strain-gauged extensometer normally required on a mechanical tensile or compressive test. First of all, an elastic sensing member, which utilizes the properties of a cantilever beam, is designed and subjected to finite element analysis using the commercial software COSMOSWORKS. Strain gauges are designed to be bounded on the appropriate locations of the members to form a full Wheatstone bridge. In order to obtain an output voltage as large as possible to ensure the measuring accuracy of this extensometer, different sets of design dimensions of the beam are taken for analysis. The stress limit is considered, and the final dimensions are determined. An extensometer is then fabricated and tested. The test data show that the results obtained based on the finite element analysis are consistent with the test results.

Keywords : strain-gauge, extensometer, finite element, cantilever beam, Wheatstone bridge Table of Contents

封面內頁 簽名頁 授權書 ... iii 中文摘要 ... iv 英文摘要 ... v 誌謝 ... vi 目錄 ... vii 圖目錄 ... ix 表目錄

... xii 符號說明 ... xiii 第一章 概論 ... 1 1.1 前言

... 1 1.2 伸長計的種類 ... 3 1.3 伸長計的基本特性與量度名詞 ... 7 1.4 研究動機 與目的 ... 12 1.5 研究目標與內容 ... 13 第二章 應變計式拉伸試驗伸長計的基本原理 ... 15 2.1 應變計式拉伸試驗伸長計的感測原理 ... 15 2.2 應變計諸特性 ... 21 2.3 基本電路 ...

30 2.4 感測彈性體的型式 ... 35 第三章 感測彈性體之分析設計與製作 ... 41 3.1 有限元素概述

... 41 3.2 應力與應變分量 ... 42 3.3 感測彈性體之有限元素分析 ... 45 3.4 最佳化設計 原理簡介 ... 54 3.5 感測彈性體設計實例與探討 ... 57 3.6 拉伸試驗伸長計製作與驗證 ... 76 第四 章 結論與建議 ... 84 4.1 結論 ... 84 4.2 建議 ... 86 參考文獻

... 87 REFERENCES

〔1〕陳克紹,曹永偉編譯,”感測器原理與應用技術”,全華科技圖 書,民77. 〔2〕賴耿陽, ”感測器應用技術”,復漢出版社 ,民81. 〔3〕楊 善國, ”感測與量度工程”,全華科技圖書 ,民83. 〔4〕張建壁編譯 , ”微算機感測器系統”,文笙總經銷,民80. 〔5〕賴豐言,”應變計式壓 力感測器最佳化設計”,大葉大學碩士論 文,1998. 〔6〕賴耿陽, ”應力應變解析原理”,復漢出版社,民85. 〔7〕盧明智,盧鵬任編著,”感 測器應用與線路分析”, 全華科技圖書, 民85. 〔8〕Benedict, R. P. ,“Fundermentals of Temperature, Pressure and Flow Measurements”, Third Edition, John Wiley&Sons , 1984. 〔9〕鄭振東, ”感測器電路設計手冊”,全華科技圖書,民79. 〔10〕江明崇編譯,”感測與轉換器”, 全華科技圖書,民77. 〔11〕王志華,”應變計式金屬薄膜壓力感測器之製作”,量測資訊第 三十五期, pp.25-38,民83. 〔12〕Thomas, G. B.

,Roy D.M. ,John H.L.V. ,”Mechanical Measurement”, Fifth Edition , Addison-Wesley Company, 1993 . 〔13〕Alexander, D. K. ,

”Transducers and Their Elements”, PTR Prentice Hall , 1994. 〔14〕曾昭仁譯述, ”應用有限元素分析”, 科技圖書, 民76. 〔15〕徐秉業 等編著, ” 彈性力學與塑性力學解題指導及習題集” , 學 英總經銷 ,1991. 〔16〕陳鴻賓,姚枚編著, ” 金屬機械性能”, 全華科技圖書, 民84. 〔17〕劉惟信 ,”機械最佳化設計”, 全華科技圖書, 民85. 〔18〕KYOWA , ” KYOWA STRAIN GAGES”, pp13. 〔19〕林福全,

”應變計式三軸力感測器之設計分析與最佳化”,大葉 大學技術報告,2001.

參考文獻

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