折纸薄壁结构

发布时间：2022-09-17 15:14

　　折纸是一种古老的科学艺术,近年来,基于折纸的结构设计受到普遍关注,本文将折纸图案与薄壁结构相结合,通过三种不同薄壁折纸结构的研究与分析,以探究折纸薄壁结构更广泛的应用。本文首先设计了多种不同几何属性的薄壁折纸管状结构,以数值模拟的方式分析其在准静态轴向载荷作用下的后屈曲行为。通过分析塑性铰链的形成与运动研究其在压溃过程中塑性变形与吸能的关系。成功探索出移动塑性铰链对吸能效率的影响。其次,在塑性铰链与折痕分析的基础上,设计了一种筝形截面薄壁管状吸能结构,其在准静态轴向载荷下可以得到非刚性伴随模态的压溃失效模式。使其能量吸收能力较传统结构高出29.2%,初始峰值载荷降低56.5%,同时使得冲击过程更加平稳。其更加优秀的特性使其更加适合应用于能量吸收装置的设计与使用中。第三,在折痕分布与运动的基础上,本文还详细分析了waterbomb图形的几何特点,刚性折叠条件下形成waterbomb折纸管的几何条件。系统进行了waterbomb折纸管的运动学分析,结构分析,力学超材料特性分析以及机构-结构-机构的运动转化分析,为折纸超材料的应用提供了理论基础。最后,本文进行了弹性硅胶平板在正交的两个轴线下... 

【文章页数】：111 页

【学位级别】：硕士

【文章目录】：
中文摘要
ABSTRACT
NOTATION
CHAPTER 1 INTRODUCTION
    1.1 Thin-walled Structures
    1.2 Origami Patterns
    1.3 Scope and Layout of Dissertation
CHAPTER 2 LITERATURE REVIEW
    2.1 Current Research on Origami Techniques
        2.1.1 Origami Mathematics
        2.1.2 Rigid Origami Patterns
    2.2 Thin-walled Tubes as Energy Absorbing Devices
        2.2.1 Background
        2.2.2 General Axial Crushing Stages and Performance Criteria
        2.2.3 Axial Crushing of Square and Polygonal Tubes
        2.2.4 Thin-walled Tubes with Origami Patterns
    2.3 Thin-walled Structures as Deployable Devices
        2.3.1 The Waterbomb Origami Tube
        2.3.2 The Deployable Antenna Reflectors
CHAPTER 3 THE ORIGAMI TUBE DESIGN: GEOMETRY ANDNUMERICAL ANALYSIS
    3.1 Origami Geometry
        3.1.1 Geometry of the Tachi Pattern
        3.1.2 Geometry of the Crash Box Pattern
        3.1.3 Geometry of the Derivative Origami Patterns
    3.2 Quasi-static Axial Crushing Modelling
        3.2.1 Finite Element Analysis
        3.2.2 Convergence Tests
    3.3 Numerical Simulation Results
        3.3.1 Origami Tubes with Tachi Pattern
        3.3.2 Origami Tubes with Crash Box Pattern
        3.3.3 Origami Tubes with Derivative Origami Patterns
    3.4 Summary
CHAPTER 4 THIN-WALLED TUBES WITH A KITE-SHAPE RIGIDORIGAMI PATTERNS
    4.1 Tube Geometry
    4.2 Numerical Simulation
        4.2.1 Finite Element Modeling
        4.2.2 Conventional Square Tube
        4.2.3 Origami tubes with the kite-shape pattern
        4.2.4 Geometry Optimization
    4.3 Theoretical Analysis
        4.3.1 Rigid Complying Mode
        4.3.2 Non-rigid Complying Mode
        4.3.3 Basic Folding Element I and II
        4.3.4 Basic Folding Element III and IV
        4.3.5 Theoretical Mean Crushing Force
    4.4 Summary
CHAPTER 5 THE WATERBOMB ORIGAMI TUBE
    5.1 Introduction of the Waterbomb Pattern
    5.2 Geometrical Analysis of the Waterbomb Origami Tube
        5.2.1 Pattern Geometry and Assumptions
        5.2.2 Conditions for a Rigidly Foldable Tube of a Uniform Radius
        5.2.3 Creation of a Tube by Rigid Folding from a Flat Sheet
    5.3 Kinematic Analysis Review of the Waterbomb Origami Tube
        5.3.1 The Waterbomb Origami Tube When m is Odd
        5.3.2 The Waterbomb Origami Tube When m is Even
    5.4 Numerical Analysis of the Waterbomb Origami Tube
        5.4.1 The Mechanism Mode
        5.4.2 The Mechanism-Structure-Mechanism Transition
    5.5 Summary
CHAPTER 6 ANALYSIS OF CROSS FOLDING A SURFACE
    61 Modelling in ABAQUS
        6.1.1 Folding Scheme
        6.1.2 Loading methods and Boundary Conditions
        6.1.3 Material Properties and ABAQUS Setting
    6.2 Positions of Controlling Rigid Bodies and Curvature
        6.2.1 Deformed Shape after Step 1
        6.2.2 Deformed Shape after Step 2 Folding
    6.3 Mechanical Analysis
        6.3.1 Study of the Thin Surface after the First Folding (Step 1)
        6.3.2 Study of the Thin Sheet after the Second Folding (Step 2)
    6.4 The Effects of Shell Thickness
        6.4.1 Deformed Shapes and Shell Thickness
        6.4.2 Elastic strain energy along the defined path and shell thickness
    6.5 Peak Stress Relieve Methods
        6.5.1 Central Hole Method
        6.5.2 Slit Method
CHAPTER 7 FINAL REMARKS
    7.1 Main Achievements
    7.2 Future Works
REFERENCES
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ACKNOWLEDGEMENTS



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