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E-grāmata: The Configuration Space Method for Kinematic Design of Mechanisms

(The Hebrew University of Jerusalem),
  • Formāts: 216 pages
  • Sērija : The MIT Press
  • Izdošanas datums: 14-May-2014
  • Izdevniecība: MIT Press
  • ISBN-13: 9780262265874
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  • Formāts: 216 pages
  • Sērija : The MIT Press
  • Izdošanas datums: 14-May-2014
  • Izdevniecība: MIT Press
  • ISBN-13: 9780262265874
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A novel algorithmic approach to mechanism design based on a geometric representation of kinematic function called configuration space partitions.

This book presents the configuration space method for computer-aided design of mechanisms with changing part contacts. Configuration space is a complete and compact geometric representation of part motions and part interactions that supports the core mechanism design tasks of analysis, synthesis, and tolerancing. It is the first general algorithmic treatment of the kinematics of higher pairs with changing contacts. It will help designers detect and correct design flaws and unexpected kinematic behaviors, as demonstrated in the book's four case studies taken from industry.

After presenting the configuration space framework and algorithms for mechanism kinematics, the authors describe algorithms for kinematic analysis, tolerancing, and synthesis based on configuration spaces. The case studies follow, illustrating the application of the configuration space method to the analysis and design of automotive, micro-mechanical, and optical mechanisms. Appendixes offer a catalog of higher-pair mechanisms and a description of HIPAIR, an open source C++ mechanical design system that implements some of the configuration space methods described in the book, including configuration space visualization and kinematic simulation. HIPAIR comes with an interactive graphical user interface and many sample mechanism input files.

The Configuration Space Method for Kinematic Design of Mechanisms will be a valuable resource for students, researchers, and engineers in mechanical engineering, computer science, and robotics.
Preface xi
Acknowledgments xiii
1 Introduction 1
1.1 Mechanisms and Kinematic Function
3
1.2 Kinematic Design
5
1.3 Content and Organization of the Book
9
1.4 Notes
10
2 Mechanisms 11
2.1 Geometry of a Part
11
2.1.1 Planar Parts
11
2.1.2 Spatial Parts
14
2.2 Configurations and Motions of Parts
16
2.2.1 Planar Parts
16
2.2.2 Spatial Parts
20
2.3 Kinematic Pairs
21
2.3.1 Representation of Configuration Space
21
2.3.2 Lower and Higher Pairs
24
2.4 Mechanisms
25
2.5 Classification of Mechanisms
29
2.6 Notes
32
3 Contact of Features 33
3.1 Simple Planar Feature Contact
33
3.1.1 Tangency Equations
34
3.1.2 Boundary Equations
35
3.1.3 Subsumed Contacts
36
3.2 Fixed-Axis Planar Pairs
37
3.2.1 Tangency Curves
37
3.2.2 Contact Curves
43
3.3 General Planar Pairs
45
3.4 General Boundary Segments
50
3.5 Spatial Pairs
52
3.6 Notes
55
4 Contact of Parts in Configuration Space 57
4.1 Partition of Configuration Space
57
4.2 Fixed-Axis Pairs
60
4.3 Partition Algorithm for Fixed-Axis Pairs
62
4.3.1 Vertex and Edge Formation
64
4.3.2 Face Formation
65
4.3.3 Face Classification
66
4.4 General Planar Pairs
67
4.5 Partition Algorithm for General Planar Pairs
69
4.6 Mechanisms
72
4.7 Partitions of Configuration Space and the Theory of Mechanisms
75
4.8 Notes
78
5 Analysis 81
5.1 Kinematic Analysis by Examination of Partition
81
5.1.1 Disk Indexing Pair
82
5.1.2 lever Indexing Pair
83
5.1.3 Intermittent Gear Mechanism
86
5.2 Kinematic Simulation
87
5.2.1 Simulation Algorithm
88
5.2.2 Computation of Velocity for Fixed-Axis Mechanisms
90
5.2.3 Computation of Velocity for General Planar Mechanisms
93
5.3 Dynamical Simulation
95
5.4 Notes
98
6 Tolerancing 99
6.1 Specifications of Parametric Tolerance
99
6.2 Tolerance Analysis
100
6.3 Algorithms for Kinematic Pairs
103
6.4 Algorithms for Mechanisms
107
6.5 Notes
108
7 Synthesis 109
7.1 Kinematic Design Cycle
109
7.2 Parameter Synthesis
111
7.2.1 Design Change
112
7.2.2 Structure Change
113
7.2.3 Multiple Draggers
115
7.3 Parameter Optimization
117
7.4 Notes
120
8 Case Studies 121
8.1 Optical Filter Mechanism
121
8.2 Manual Transmission Gearshift
123
8.3 Torsional Ratcheting Actuator
125
8.4 Spatial Asynchronous Gear Pair
128
9 Conclusion 133
Research Directions
134
Appendix A Catalog of Mechanisms 137
Appendix B HIPAIR Software 175
B.1 Installation
175
B.2 Graphical User Interface
175
B.3 Mechanisms
177
B.3.1 Parts
177
B.3.2 Configuration Spaces of Fixed-Axis Pairs
178
B.3.3 Kinematic Simulation
178
B.3.4 Contact Zones of Fixed-Axis Pairs
178
B.4 Input Format
179
B.4.1 Mechanisms
179
B.4.2 Parts
179
B.4.3 Simulation and Display Data
181
Glossary 183
References 187
Index 193