Design and Analysis of Mechanisms: A Planar Approach

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      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     Further Reading 114     5 Velocity Analysis 115     5.1 Introduction 115     5.2 Relative Velocity Method 116     5.3 Instant Center Method 123     5.4 Vector Method 137     Problems 145     Programming Exercises 152     6 Acceleration 156     6.1 Introduction 156     6.2 Relative Acceleration 157     6.3 Slider   Crank Mechanism with Horizontal Motion 158     6.4 Acceleration of Mass Centers for Slider   Crank Mechanism 161     6.5 Four-bar Linkage 162     6.6 Acceleration of Mass Centers for 4-bar Linkage 167     6.7 Coriolis Acceleration 168     Problems 173     Programming Exercises 179     7 Static Force Analysis 183     7.1 Introduction 183     7.2 Forces, Moments, and Free Body Diagrams 184     7.3 Multiforce Members 188     7.4 Moment Calculations Simplified 194     Problems 194     Programming Exercises 198     8 Dynamics Force Analysis 201     8.1 Introduction 201     8.2 Link Rotating about Fixed Pivot Dynamic Force Analysis 203     8.3 Double-Slider Mechanism Dynamic Force Analysis 205     Problems 208     9 Spur Gears 212     9.1 Introduction 212     9.2 Other Types of Gears 212     9.3 Fundamental Law of Gearing 213     9.4 Nomenclature 216     9.5 Tooth System 218     9.6 Meshing Gears 219     9.6.1 Operating Pressure Angle 220     9.6.2 Contact Ratio 220     9.7 Noninterference of Gear Teeth 221     9.8 Gear Racks 224     9.9 Gear Trains 225     9.9.1 Simple Gear Train 226     9.9.2 Compound Gear Train 226     9.9.3 Inverted Compound Gear Train 229     9.9.4 Kinetic Energy of a Gear 231     9.10 Planetary Gear Systems 233     9.10.1 Differential 235     9.10.2 Clutch 236     9.10.3 Transmission 236     9.10.4 Formula Method 238     9.10.5 Table Method 241     Problems 242     10 Planar Cams and Cam Followers 248     10.1 Introduction 248     10.2 Follower Displacement Diagrams 250     10.3 Harmonic Motion 252     10.4 Cycloidal Motion 253     10.5 5-4-3 Polynomial Motion 255     10.6 Fifth-Order Polynomial Motion 256     10.7 Cam with In-Line Translating Knife-Edge Follower 258     10.8 Cam with In-Line Translating Roller Follower 259     10.9 Cam with Offset Translating Roller Follower 265     10.10 Cam with Translating Flat-Face Follower 266     Problems 270     Appendix A: Engineering Equation Solver 272     Appendix B: MATLAB 289     Further Reading 299     Index 000