臺灣博碩士論文加值系統

傳統的碳纖維箭管撓度儀依賴於機械測量，使用砝碼及類比式的千分儀，標
準為28 寸的箭桿在中心垂掛 880g 的砝碼後，彎曲下陷的程度，彎曲程度越大，
箭桿撓度越軟，彎曲程度越小，箭桿撓度越硬。
這可能導致結果不夠準確或一致。這種儀器通常涉及將箭管放置在兩個支點
之間，然後在中心施加壓力，測量箭管彎曲的程度。
這種方法的問題在於，人為判斷的涉入以及千分儀安裝角度的誤差，千分儀
自身彈簧施加於箭桿的壓力及砝碼重量落差及吊掛位置的差異，可能會導致錯
誤和不一致性。
我們希望，數位化碳纖維箭管撓度檢測在使用先進的感測器和軟體來精準測
量箭管的撓度。這種方法可以自動記錄和分析數據，減少人為錯誤，並提供更
一致、可重複的測量結果。數位化檢測還能夠更快速地處理大量箭管，提高效
率。此外，數位化系統可以輕鬆整合到更大的資料分析和品質控制程序中，從
而提供更深入的洞察和改進箭管設計的機會。
本研究論文利用新型態的方式去量測碳纖維管的硬度及撓度，在使用科學的
高精度重量感知器量測到產生形變的壓力後，去換算該量測物的硬度是否與生
產硬度相符合，並與傳統類比式的彈性硬度檢測做比較。在經過實際量測後，
使用本論文內容之壓力傳感器型的碳纖維管撓度檢測儀器，測量得到的數值最
高可以達到與預設出場數值 99%符合的程度。

Traditional carbon fiber arrow shaft deflection testers rely on mechanical
measurement, utilizing weights and analog micrometers. The standard procedure
involves hanging an 880g weight at the center of a 28-inch arrow shaft, measuring the
degree of bending. A greater deflection indicates a softer arrow shaft, while a smaller
deflection indicates a stiffer one. However, this method may lead to inaccurate or
inconsistent results due to human judgment and potential errors in micrometer
installation angles. Variations in the pressure applied by the micrometer's spring,
differences in weight, and discrepancies in the hanging position of the weights can all
contribute to measurement errors and inconsistencies.
We propose a digital carbon fiber arrow shaft deflection tester that employs
advanced sensors and software for precise deflection measurement. This approach can
automatically record and analyze data, reducing human error and providing more
consistent, repeatable results. Additionally, digital testing can quickly process a large
number of arrow shafts, improving efficiency. The digital system can also be easily
integrated into broader data analysis and quality control processes, offering deeper
insights and opportunities to improve arrow shaft design.
This research paper presents a novel method for measuring the hardness and
deflection of carbon fiber tubes. By using high-precision pressure sensors to measure
the pressure causing deformation, we can calculate whether the measured hardness
aligns with the production hardness and compare it with traditional analog elasticity
hardness testing. Practical measurements using the pressure sensor-based carbon fiber
tube deflection tester described in this paper have shown results matching up to 99%
of the preset factory values.

目錄
摘要................................................................................................................................ I
ABSTRACT .................................................................................................................. II
目錄.............................................................................................................................. III
圖目錄........................................................................................................................... V
表目錄.......................................................................................................................... VI
第一章 緒論............................................................................................................ 1
1.1 前言...................................................................................................................... 1
1.2 研究動機.............................................................................................................. 2
1.3 研究流程與方法.................................................................................................. 4
1.4 論文架構.............................................................................................................. 5
第二章 研究背景與文獻回顧................................................................................ 6
2.1 箭桿撓度.............................................................................................................. 6
2.2 ASTM ARROW SPINE ....................................................................................... 8
2.3 虎克定律及楊氏模量.......................................................................................... 9
2.4ARDUINO 單晶片版 ......................................................................................... 11
2.5 感測元件介紹.................................................................................................... 15
2.6 傳統的碳管撓度測試儀.................................................................................... 19
2.7 非接觸式數位碳管撓度測試儀........................................................................ 21
2.8 文獻回顧............................................................................................................ 22
第三章 系統設計與實作...................................................................................... 24
3.1 系統方塊圖........................................................................................................ 24
3.2 虎克定律與 ASTM ARROW SPINE 之關係 ................................................... 24
3.3 壓力傳感器式碳纖維管撓度測試平台設計.................................................... 27
3.4 軟體設計流程.................................................................................................... 29
第四章 系統測試與結果...................................................................................... 34
4.1 測試流程圖........................................................................................................ 35
4.2 實驗數據............................................................................................................ 36
4.3 實驗結果............................................................................................................ 39
4.4 實驗比較............................................................................................................ 40
第五章 結論.......................................................................................................... 42
IV
5.1 結論.............................................................................................................. 42
5.2 未來展望...................................................................................................... 43
參考文獻...................................................................................................................... 44
Q&A ............................................................................................................................. 46

[1] ASTM International F2031-05-2014 Standard Test Method for Measurement of
Arrow Shaft Static Spine(Stiffness)
[2] Gerlock, K. C. (2007, December). Translating Arrow Spine Test Methods.
https://oakcreekarchery.com/arrow_translation.pdf
[3] KEYENCE IG-028 Spec
[4] KEYENCE IG-1500 Spec
[5] O’regan, B. (2003, July 28). Arrow Spine Tester. Archery Talk.
https://www.archerytalk.com/threads/diy-arrow-spine-tester-complete-with-step-by-
step-photos.2056158/
[6] Young’s Modulus. (n.d.). Wikipedia.
https://en.wikipedia.org/wiki/Young%27s_modulus
[7] Mega 2560 Rev3. (n.d.). Arduino Docs. https://docs.arduino.cc/hardware/mega-
2560/
[8] S, N. (2007, October 8). 惠斯通電橋應變計傳感器應用概要. CTIMES.
https://www.ctimes.com.tw/DispArt/tw/Amplifier/071008094835.shtml
[9] AVIA 24-Bit Analog-to-Digital Converter (ADC) for Weigh Scales HX711
海芯科技
[10] Chu, J. (2019, October 15). Arduino HX711 電子秤完整範例. 傑森創工.
https://blog.jmaker.com.tw/hx711_set/
[11] 初步了解 Arduino IDE 基本語法. (2022, September 14). Arduino 物聯網應
用. https://dic.vbird.tw/arduino/unit02.php
[12] Wu, D. (2021, June 26). Arduino While 迴圈 如何使用? CRAZYMAKER.
https://crazymaker.com.tw/arduino-while-loop/
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[13] 林昱辰（2022）。不同等級(價位)箭桿精度差異性分析。﹝碩士論文。國
立體育大學﹞臺灣博碩士論文知識加值系統
https://hdl.handle.net/11296/mm7v3v
[14] 陳利健（2024）。鋁碳纖維箭桿一致的屈曲方向對於箭著落點集中度影
響。﹝碩士論文。臺北市立大學﹞臺灣博碩士論文知識加值系統
https://hdl.handle.net/11296/s4br82