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Modeling and Simulation of a Continious Folding Process of an Origami Pattern University of Windsor Scholarship at UWindsor Electronic Theses and Dissertations Theses, Dissertations, and Major Papers 3-12-2020 Modeling And Simulation Of a Continious Folding Process Of An Origami Pattern Prabhu Muthukrishnan University of Windsor Follow this and additional works at: https://scholar.uwindsor.ca/etd Recommended Citation Muthukrishnan, Prabhu, "Modeling And Simulation Of a Continious Folding Process Of An Origami Pattern" (2020). Electronic Theses and Dissertations. 8324. https://scholar.uwindsor.ca/etd/8324 This online database contains the full-text of PhD dissertations and Masters’ theses of University of Windsor students from 1954 forward. These documents are made available for personal study and research purposes only, in accordance with the Canadian Copyright Act and the Creative Commons license—CC BY-NC-ND (Attribution, Non-Commercial, No Derivative Works). Under this license, works must always be attributed to the copyright holder (original author), cannot be used for any commercial purposes, and may not be altered. Any other use would require the permission of the copyright holder. Students may inquire about withdrawing their dissertation and/or thesis from this database. For additional inquiries, please contact the repository administrator via email ([email protected]) or by telephone at 519-253-3000ext. 3208. MODELING AND SIMULATION OF A CONTINUOUS FOLDING PROCESS OF AN ORIGAMI PATTERN By Prabhu Muthukrishnan A Thesis Submitted to the Faculty of Graduate Studies through the Industrial Engineering Graduate Program in Partial Fulfillment of the Requirements for the Degree of Master of Applied Science at the University of Windsor Windsor, Ontario, Canada 2020 © 2020 Prabhu Muthukrishnan Modeling and Simulation of a Continuous Folding Process of an Origami Pattern by Prabhu Muthukrishnan APPROVED BY: J.Stagner ____________________________________________ Department of Mechanical, Automotive and Materials Engineering L.Oriet ______________________________________________ Department of Mechanical, Automotive and Materials Engineering Z.Pasek, Advisor ______________________________________________ Department of Mechanical, Automotive and Materials Engineering January 23, 2020 DECLARATION OF ORIGINALITY I hereby certify that I am the sole author of this thesis and that no part of this thesis has been published or submitted for publication. I certify that, to the best of my knowledge, my thesis does not infringe upon anyone’s copyright nor violate any proprietary rights and that any ideas, techniques, quotations, or any other material from the work of other people included in my thesis, published or otherwise, are fully acknowledged in accordance with the standard referencing practices. Furthermore, to the extent that I have included copyrighted material that surpasses the bounds of fair dealing within the meaning of the Canada Copyright Act, I certify that I have obtained a written permission from the copyright owner(s) to include such material(s) in my thesis and have included copies of such copyright clearances to my appendix. I declare that this is a true copy of my thesis, including any final revisions, as approved by my thesis committee and the Graduate Studies office, and that this thesis has not been submitted for a higher degree to any other University or Institution. iii ABSTRACT The engineering applications of origami has gathered tremendous attention in recent years. Various aspects of origami have different characteristics based on its application. The shape changing aspect is used in areas where size is a constraint. The structural rigidity aspect is utilized where strength is needed with a minimal increase in weight. When polymer or metal sheets are processed to have origami creases, they exhibit an improvement in mechanical properties. The sheets which create a specific local texture by means of tessellated folds patterns are called folded textured sheets[1]. These sheets are utilized to create fold cores. These light-weight sandwiched structures are heavily used in the aerospace industry, due to its ability to prevent moisture accumulation on the aeronautical structures at higher altitudes. The objective of the current research is to explore a new method for the continuous production of these folded textured sheets. The method uses a laser etching setup to mark the sheet with the origami pattern. The pattern is then formed by dies and passes through a conveyor system which is specifically arranged like a funnel to complete the final stage of the forming process. A simulation approach is utilized to evaluate the method. Results show the feasibility of the process along with its limitations. The design is made to be feasible for scaling up for large scale manufacture iv DEDICATION To my father - Muthukrishnan and my mother - Vijayalakshmi, who are my pillars of strength and support v ACKNOWLEDGMENTS I sincerely thank my research advisor , Dr. Zbigniew Pasek, for his guidance and support to complete my thesis. I am deeply grateful for his time, weekly meetings and technical comments during my research and study. His patience and trust in my abilities aided me to thoroughly explore the subject and formulate a research topic at my own pace. This has allowed me to grow and gain confidence as a researcher who can truly make a contribution in the future. I would like to thank Dr. Leo Oriet and Dr. Jacqueline Stagner for agreeing to be part of my thesis committee. Their time and consideration in providing comments and feedback on this thesis is invaluable. Lastly, I am grateful to my friends and family who have supported me in countless ways. This thesis would not be possible without their care and support. vi TABLE OF CONTENTS DECLARATION OF ORIGINALITY ........................................................ iii ABSTRACT .................................................................................................... iv DEDICATION................................................................................................. v ACKNOWLEDGMENTS ............................................................................. vi LIST OF TABLES .......................................................................................... x LIST OF FIGURES ....................................................................................... xi LIST OF ACRONYMS ............................................................................... xiv INTRODUCTION .......................................................................................... 1 1.1 History of Origami ................................................................................................. 1 1.2 Modern Uses and Engineering Interest .................................................................. 4 1.3 Manufacturing challenges .................................................................................... 10 1.4 Area of Focus ....................................................................................................... 13 1.5 Problem Statement................................................................................................ 15 1.6 Approach .............................................................................................................. 16 2 LITERATURE REVIEW -A COMPARISON AND DISCUSSION OF CREASE PATTERNS MANUFACTURING TECHNIQUES IN ORIGAMI. ..................................................................................................... 17 2.1 Idea Map ............................................................................................................... 17 2.2 Pattern Parameters ................................................................................................ 20 2.3 Fold Cores ............................................................................................................ 24 2.4 Simulation based Authentication .......................................................................... 28 2.5 Manufacturing Method ......................................................................................... 35 2.6 Summary............................................................................................................... 39 vii 3 THE PROPOSED METHOD FOR OPTIMIZING PROCESS FLOW ............................................................................................................ 40 3.1 The Process Flow for Industrial Scale .................................................................. 40 3.1.1 Major Manufacturing Considerations ........................................................... 40 3.1.2 Material Selection ......................................................................................... 41 3.1.3 Scope and Limitations ................................................................................... 48 3.2 A Mathematical Model for Miura-Ori Fold. ........................................................ 48 3.2.1 Characteristics governing the crease pattern ................................................. 49 3.2.2 Bottom-Up..................................................................................................... 52 3.3 Conceptual Design of Continuous Folding Machine ........................................... 56 3.4 Pre-processing of the Sheet .................................................................................. 57 3.4.1 Using Laser Etching ...................................................................................... 58 3.5 Forming of the Etched Sheet ...............................................................................
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