Fundamentals of Machine Theory and Mechanisms

Chapter 1 Kinematic Chains.- 1.1 Basic Concepts.- 1.2 Definitions.- 1.3 Degrees of Freedom of Mechanisms.- 1.4 Kinematic Inversions.- 1.5 Grashof's Criterion.- 1.6 Mechanical Advantage.- 1.7 Kinematic Curves.- 1.8 Application of Different Mechanisms with Different Purposes.- Chapter 2 Kinematic Analysis of Mechanisms. Relative Velocity and Acceleration. Instant Centers of Rotation.- 2.1 Velocity in Mechanisms.- 2.2 Accelerations in Mechanisms.- 2.3 Exercises with their Solutions.- Chapter 3 Analytical methods for the Kinematic Analysis of Planar Linkages. Raven's Method.- 3.1 Analytical Methods.- 3.2 Examples with their Solutions.- Chapter 4 Graphical and Analytical Methods for Dynamic Analysis of Planar Linkages.- 4.1 Machine Statics.- 4.2 Dynamic Analysis.- 4.3 Dynamic Analysis. Matrix Method.- 4.4 Exercises with Solutions.- Chapter 5 Balancing of Machinery.- 5.1 Rotor Balancing.- 5.2 Inertia Balancing of Single and Multi-Cylinder Engines.- 5.3 Problems with Solutions.- Chapter 6 Flywheel Calculations.- 6.1 Forces and Torques in Mechanisms.- 6.2 General Equation of Mechanism Motion.- 6.3 Working Periods of a Cyclic Machine.- 6.4 Steady State.- 6.5 Flywheels.- 6.6 Application Examples of Flywheels.- 6.7 Coefficient of Speed Fluctuation.- 6.8 Design of a Flywheel.- Chapter 7 Vibrations in Systems with one Degree of Freedom.- 7.1 Introduction to Oscillatory Motion.- 7.2 Single Degree of Freedom (SDOF) Systems.- 7.3 Free Vibrations in SDOF Systems.- 7.4 Forced Vibrations in SDOF Systems.- Chapter 8 Gears.- 8.1 Introduction.- 8.2 Toothed Wheels (Gears).- 8.3 Condition for Constant Velocity Ratio. Fundamental Law of Gearing.- 8.4 Involute Teeth.- 8.5 Definitions and Nomenclature.- 8.6 Involute Tooth Action.- 8.7 Contact Ratio.- 8.8 Relationship between Velocity Ratio and Base Circles.- 8.9 Interference in Involute Gears.- 8.10 Gear Classification.- 8.11 Manufacturing of Toothed Wheels.- 8.12 Gear Standardization.- 8.13 Helical Gears.- 8.14 Bevel Gears.- 8.15 Force Analysis in Toothed Wheels.- Chapter 9 Gear Trains.- 9.1 Classification of Gear Trains.- 9.2 Ordinary Trains.- 9.3 Planetary or Epicyclic Trains.- 9.4 Examples.- Chapter 10 Synthesis of Planar Mechanisms.- 10.1 Types of Synthesis.- 10.2 Function Generation Synthesis.- 10.3 Trajectory Generation Synthesis.- 10.4 Optimal Synthesis of Mechanisms.- 10.5 Analysis of the Objective Function.- 10.6 Optimization Method Based on Evolutionary Algorithms.- 10.7 Results.- Appendix I: Position Kinematic Analysis. Trigonometric Method.- I.1 Position Analysis of a Four-Bar Mechanism.- I.2 Position Analysis of a Crank-Shaft Mechanism.- I.3 Position Analysis of a Slider Mechanism.- I.4 Two Generic Bars of a Mechanism.- Appendix II: Freudenstein's Method to Solve the Position Equations in a Four-Bar Mechanism.- II.1 Position Analysis of a Four-Bar Mechanism by using Raven's Method.- II.2 Freudenstein's Method.- Appendix III: Kinematic and Dynamic Analysis of a Mechanism.- III.1 Kinematic Chain.- III.2 Slider Displacement versus Crank Rotation.- III.4 Velocity Analysis by Relative Velocity Method.- III.4. Instantaneous Center Method for Velocities.- III.5 Acceleration Analysis with the Relative Acceleration Method.- III.6 Raven's Method.- III.7 Mass, Inertia Moments, Inertia Forces and Inertia Pairs.- III.8. Force Analysis. Graphical Method.- III.9 Dynamic Analysis. Matrix Method.