Machine analysis with computer applications for mechanical engineers

Content: Preface xv    Acknowledgments xvii    About the companion website xix    1 Introductory Concepts 1    1.1 Introduction to Machines 1    1.2 Units 6    1.3 Machines and Mechanisms 10    1.4 Linkage Mechanisms 14    1.5 Common Types of Linkage Mechanisms 16    1.6 Gears 21    1.7 Cams 27    1.8 Solution Methods 28    1.9 Methods of Problem Solving 30    1.10 Review and Summary 31    Problems 31    Further Reading 33    2 Essential Kinematics Concepts 34    2.1 Introdction 34    2.2 Basic Concepts of Velocity and Acceleration 35    2.3 Translational Motion 35    2.4 Rotation about a Fixed Axis 36    2.5 General Plane Motion 41    2.6 Computer Methods 53    2.7 Review and Summary 58    Problems 58    Further Reading 65    3 Linkage Position Analysis 66    3.1 Introduction 66    3.2 Mobility 67    3.3 Inversion 72    3.4 Grashof   s Criterion 72    3.5 Coupler Curves 74    3.6 Cognate Linkages 76    3.7 Transmission Angle 79    3.8 Geometrical Method of Position Analysis 80    3.9 Analytical Position Analysis 92    3.10 Toggle Positions 100    3.11 Computer Methods for Position Analysis 100    3.12 Review and Summary 103    Problems 103    Further Reading 107    4 Linkage Velocity and Acceleration Analysis 108    4.1 Introduction 108    4.2 Finite Displacement: Approximate Velocity Analysis 109    4.3 Instantaneous Centers of Rotation 111    4.4 Graphical Velocity Analysis 119    4.5 Analytical Velocity Analysis Methods 125    4.6 Graphical Acceleration Analysis Methods 130    4.7 Analytical Acceleration Analysis Methods 134    4.8 Kinematic Analysis of Linkage Mechanisms with Moving Slides 135    4.9 Review and Summary 147    Problems 147    Further Reading 153    5 Linkage Synthesis 154    5.1 Introduction 154    5.2 Synthesis 155    5.3 Two-Position Graphical Dimensional Synthesis 156    5.4 Three-Position Graphical Dimensional Synthesis 162    5.5 Approximate Dwell Linkage Mechanisms 167    5.6 Quick Return Mechanisms 169    5.7 Function Generation 176    5.8 Review and Summary 182    Problems 182    Further Reading 189    6 Computational Methods for Linkage Mechanism Kinematics 190    6.1 Introduction 190    6.2 Matrix Review 190    6.3 Position Equations 196    6.4 Velocity Analysis 206    6.5 Acceleration Equations 209    6.6 Dynamic Simulation Using Autodesk Inventor 210    6.7 Review and Summary 211    Problems 212    Further Reading 214    7 Gear Analysis 215    7.1 Introduction 215    7.2 Involute Curves 216    7.3 Terminology 219    7.4 Tooth Contact 228    7.5 Analysis of Spur Gears 234    7.6 Analysis of Parallel Helical Gears 239    7.7 Analysis of Crossed Helical Gears 242    7.8 Analysis of Bevel Gears 246    7.9 Analysis of Worm Gearing 249    7.10 Review and Summary 252    Problems 252    Further Reading 254    8 Gear Trains 255    8.1 Introduction 255    8.2 Simple Gear Trains 256    8.3 Compound Gear Trains 258    8.4 Reverted Compound Gear Trains 262    8.5 Gear Trains with Different Types of Gears 264    8.6 Planetary Gear Trains 266    8.7 Differentials 273    8.8 Computer Methods for Gear Train Design 274    8.9 Review and Summary 274    Problems 275    Further Reading 279    9 Cams 280    9.1 Introduction 280    9.2 Types of Cams and Followers 281    9.3 Basic Concepts of Cam Geometry and Cam Profiles 283    9.4 Common Cam Functions 285    9.5 Using Cam Functions for Specific Applications 295    9.6 Application of Cam Functions for Double-Dwell Mechanisms 299    9.7 Application of Cam Functions for Single-Dwell Mechanisms 301    9.8 Application of Cam Functions for Critical Path Motion 308    9.9 Cam Geometry 310    9.10 Determining Cam Size 312    9.11 Design of Cam Profiles 316    9.12 Computer Methods for Cam Design 322    9.13 Review and Summary 322    Problems 323    Reference 327    10 Vibration Theory 328    10.1 Introduction 328    10.2 System Components 329    10.3 Frequency and Period 333    10.4 Undamped Systems 333    10.5 Torsional Systems 344    10.6 Damped Systems 346    10.7 Logarithmic Decrement 353    10.8 Forced Vibration: Harmonic Forcing Functions 356    10.9 Response of Undamped Systems to General Loading 372    10.10 Review and Summary 381    Problems 381    Further Reading 386    11 Dynamic Force Analysis 387    11.1 Introduction 387    11.2 Superposition Method of Force Analysis 388    11.3 Matrix Method Force Analysis 399    11.4 Sliding Joint Forces 405    11.5 Energy Methods of Force Analysis: Method of Virtual Work 410    11.6 Force Analysis for Slider   Crank Mechanisms Using Lumped Mass 412    11.7 Gear Forces 416    11.8 Computer Methods 418    11.9 Review and Summary 418    Problems 419    Further Reading 421    12 Balancing of Machinery 422    12.1 Introduction 422    12.2 Static Balancing 423    12.3 Dynamic Balancing 431    12.4 Vibration from Rotating Unbalance 437    12.5 Balancing Slider   Crank Linkage Mechanisms 439    12.6 Balancing Linkage Mechanisms 447    12.7 Flywheels 448    12.8 Measurement Devices 455    12.9 Computer Methods 458    12.10 Review and Summary 459    Problems 459    References 464    Further Reading 464    13 Applications of Machine Dynamics 465    13.1 Introduction 465    13.2 Cam Response for Simple Harmonic Functions 465    13.3 General Response Using Laplace Transform Method 469    13.4 System Response Using Numerical Methods 479    13.5 Advanced Cam Functions 482    13.6 Forces Acting on the Follower 492    13.7 Computer Applications of Cam Response 494    13.8 Internal Combustion Engines 494    13.9 Common Arrangements of Multicylinder Engines 499    13.10 Flywheel Analysis for Internal Combustion Engines 504    13.11 Review and Summary 506    Problems 506    References 507    Further Reading 507    Appendix A     Center of Mass 509    Appendix B     Moments of Inertia 512    Appendix C     Fourier Series 521    Index 529