9781119054337

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A planar or two-dimensional (2D) mechanism is the combination of two or more machine elements that are designed to convey a force or motion across parallel planes. For any mechanical engineer, young or old, an understanding of planar mechanism design is fundamental. Mechanical components and complex machines, such as engines or robots, are often designed and conceptualised in 2D before being extended into 3D.

Designed to encourage a clear understanding of the nature and design of planar mechanisms, this book favours a frank and straightforward approach to teaching the basics of planar mechanism design and the theory of machines with fully worked examples throughout.

Key Features:

Provides simple instruction in the design and analysis of planar mechanisms, enabling the student to easily navigate the text and find the desired material
Covers topics of fundamental importance to mechanical engineering, from planar mechanism kinematics, 2D linkage analyses and 2D linkage design to the fundamentals of spur gears and cam design
Shows numerous example solutions using EES (Engineering Equation Solver) and MATLAB software, with appendices dedicated to explaining the use of both computer tools
Follows end-of-chapter problems with clearly detailed solutions

Michael J. Rider, Professor of Mechanical Engineering, Ohio Northern University, USA. Professor Rider earned a Masters in machine design at Texas A&M and a Ph.D. in computer aided-design and computer graphics at Purdue University. Professor Rider has been teaching at Ohio Northern University for the past 35 years.

Preface viii

1 Introduction to Mechanisms 1

1.1 Introduction 1

1.2 Kinematic Diagrams 2

1.3 Degrees of Freedom or Mobility 5

1.4 Grashof’s Equation 7

1.5 Transmission Angle 7

1.6 Geneva Mechanism 10

Problems 12

Reference 15

2 Position Analysis of Planar Linkages 16

2.1 Introduction 16

2.2 Graphical Position Analysis 17

2.2.1 Graphical Position Analysis for a 4-Bar 17

2.2.2 Graphical Position Analysis for a Slider-Crank Linkage 19

2.3 Vector Loop Position Analysis 20

2.3.1 What Is a Vector? 20

2.3.2 Finding Vector Components of M∠θ 21

2.3.3 Position Analysis of 4-Bar Linkage 23

2.3.4 Position Analysis of Slider-Crank Linkage 36

2.3.5 Position Analysis of 6-Bar Linkage 47

Problems 49

Programming Exercises 62

3 Graphical Design of Planar Linkages 66

3.1 Introduction 66

3.2 Two-Position Synthesis for a Four-Bar Linkage 67

3.3 Two-Position Synthesis for a Quick Return 4-Bar Linkage 69

3.4 Two-Positions for Coupler Link 72

3.5 Three Positions of the Coupler Link 72

3.6 Coupler Point Goes Through Three Points 75

3.7 Coupler Point Goes Through Three Points with Fixed Pivots and Timing 78

3.8 Two-Position Synthesis of Slider-Crank Mechanism 82

3.9 Designing a Crank-Shaper Mechanism 84

Problems 88

4 Analytical Linkage Synthesis 95

4.1 Introduction 95

4.2 Chebyshev Spacing 95

4.3 Function Generation Using a 4-Bar Linkage 98

4.4 Three-Point Matching Method for 4-Bar Linkage 100

4.5 Design a 4-Bar Linkage for Body Guidance 103

4.6 Function Generation for Slider-Crank Mechanisms 106

4.7 Three-Point Matching Method for Slider-Crank Mechanism 108

Problems 112

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Design and Analysis of Mechanisms A Planar Approach

Design and Analysis of Mechanisms A Planar Approach

1119054338

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