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研究生: 鍾正賢
Chung, Cheng-Hsien
論文名稱: 虎牌Shin-Renjyou機械式計算機之研究
On the Study of Tiger Shin-Renjyou Mechanical Calculators
指導教授: 顏鴻森
Yan, Hong-Sen
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2020
畢業學年度: 108
語文別: 英文
論文頁數: 106
中文關鍵詞: 機械式計算機 、虎牌Shin-Renjyou 、機構創新設計 、機構分析 、古機械
外文關鍵詞: Mechanical calculator, Tiger Shin-Renjyou, creative mechanism design, mechanism analysis, ancient machines
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  • 數學的計算在人類的科學與社會發展中扮演了重要的角色,而機械式的計算機反映了當代科學與機械技術的發展水平。目前雖然有不少機械式計算機保留為文化資產,但是缺乏綜合性的研究和內部機構的分析。創意性機構設計的主要目的在於有系統地產出合乎設計規格、需求、及限制的設計構想。本研究的目的在於,將原本複雜的機械式計算機,透過創意性機構設計方法,來得到相同功能但機構較為簡易的子機構設計,以為科普教育模型之用。
    本研究分為三個階段進行。第一階段為文獻回顧和專利搜索,經由深入了解機械式計算機歷史發展的脈絡,綜合性地歸納出計算機的分類,並比較各個分類下的特殊機構設計和其功能。第二階段針對Pin-Wheel計算機中具代表性之機械式計算機—Tiger Shin-Renjyou,繪製其機構簡圖,進行運動分析,並建立電腦模型。第三階段透過創意性機構設計方法,以一代表性機械式計算機之設計規範與歸納出的設計限制,合成出較為簡易的子機構新型機構,並以電腦輔助設計與工程軟體進行實體模型的建構。
    本研究之成果,在學術研究方面,可發表具原創性之學術論文,在應用研究方面,內文闡述與展示機械式計算機的機構運作功能之外,並透過創意性設計方法合成出新型設計,可成為科普教育之教材。

    The mathematic calculation plays an important role in the scientific and social development of human beings, and the mechanical calculators reflect the development of science and mechanical technology in the subject’s time period. Although some mechanical calculators are preserved well as cultural heritages, a comprehensive research and analysis of their inner structures are not available. The main purpose of creative mechanism design is to generate all possible design concepts systematically to meet design specifications subject to design requirements and constraints. This study aims to redesign a sub-mechanism of the complex mechanical calculators to make them simpler and to build up models for scientific education. Through the creative mechanism design methodology, the redesigned one would possess the same functions as the original mechanical calculator.
    This study is divided into three stages. The first stage is carrying out the literature review and patent search to classify mechanical calculators comprehensively and providing comparison between the special mechanism designs and functions of each type. The second stage is drawing the skeleton diagrams and carrying out kinematic analysis of the representative pin-wheel calculator, the Tiger Shin-Renjyou, along with building its 3D model. The final stage is synthesizing related mechanisms of innovative and simpler mechanical calculators with creative mechanism design methodology and applying CAD software to generate solid models.
    This study fulfills the following achievements. In the aspect of academic research, original academic papers with innovative concepts will be published. In the aspect of application research, it will demonstrate the operation of the classical mechanical calculators, reveal the functions including calculation and operation of the inner structure. The results of the new design can be synthesized through the creative mechanism design methodology and benefit to the popular science education.

    ABSTRACT I 摘要 II ACKNOWLEDGEMENTS III CONTENTS IV LIST OF TABLES VII LIST OF FIGURES VIII LIST OF APPENDIX FIGURES XI NOMENCLATURES XII Chapter 1 Introduction 1 1.1 Research motivation 2 1.2 Objectives 3 1.3 Thesis organization 3 Chapter 2 Definition and Historical Developments 6 2.1 Definitions 6 2.2 Developments 8 2.3 Classification 11 2.3.1 Pin-wheel calculator 11 2.3.2 Stepped-drum calculator 12 2.3.3 Keyboard calculator 13 2.3.4 Printing calculator 14 2.4 Summary 14 Chapter 3 Structural Analysis 15 3.1 Check dial system 15 3.2 Main shaft system 18 3.3 Right dial system 24 3.4 Left dial system 26 3.5 Shift digit system 28 3.6 Operation 31 3.7 3D solid model 32 3.8 Summary 32 Chapter 4 Kinematic and Dynamic Analyses 33 4.1 Kinematic analysis 33 4.1.1 Position analysis 33 4.1.2 Velocity analysis 39 4.1.3 Acceleration analysis 40 4.2 Dynamic analysis 42 4.3 Simulation and verification 47 4.4 Summary 47 Chapter 5 Conceptual Design 50 5.1 Existing designs 51 5.2 Generalization 53 5.3 Number synthesis 55 5.4 Specialization 56 5.5 Particularization 59 5.6 Summary 61 Chapter 6 Dimensional Synthesis and Analysis 63 6.1 Target trajectory 63 6.2 Dimensional synthesis 64 6.3 Kinematic analysis 67 6.3.1 Position analysis 67 6.3.2 Velocity analysis 71 6.3.3 Acceleration analysis 72 6.4 Dynamic analysis 75 6.5 Simulation and verification 78 6.6 Prototyping 79 6.6.1 Link design 79 6.6.2 Prototype 80 6.7 Summary 81 Chapter 7 Conclusions and Suggestions 83 7.1 Conclusions 83 7.2 Suggestions 84 REFERENCES 85 APPENDIX I Dimensions of the Physical Model Calculator 87 APPENDIX II Dimensions of the Simplified Design 105 VITA 106 COPYRIGHT STATEMENT 108

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