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This book develops the basic content for an introductory course in Mechanism and Machine Theory. The text is clear and simple, supported by more than 350 figures. More than 60 solved exercises have been included to mark the translation of this book from Spanish into English. Topics treated include:
dynamic analysis of machines; introduction to vibratory behavior; rotor and piston balanced; critical speed for shafts; gears and train gears; synthesis for planar mechanisms; and kinematic and dynamic analysis for robots. The chapters in relation to kinematics and dynamics for planar mechanisms can be studied with the help of WinMecc software, which allows the reader to study in an easy and intuitive way, but exhaustive at the same time. This computer program analyzes planar mechanisms of one-degree of freedom and whatever number of links. The program allows users to build a complex mechanism. They can modify any input data in real time changing values in a numeric way or usingthe computer mouse to manipulate links and vectors while mechanism is moving and showing the results. This powerful tool does not only show the results in a numeric way by means of tables and diagrams but also in a visual way with scalable vectors and curves.
List of contents
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.- 8.15Force 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.
Summary
This book develops the basic content for an introductory course in Mechanism and Machine Theory. The text is clear and simple, supported by more than 350 figures. More than 60 solved exercises have been included to mark the translation of this book from Spanish into English. Topics treated include:
dynamic analysis of machines; introduction to vibratory behavior; rotor and piston balanced; critical speed for shafts; gears and train gears; synthesis for planar mechanisms; and kinematic and dynamic analysis for robots. The chapters in relation to kinematics and dynamics for planar mechanisms can be studied with the help of WinMecc software, which allows the reader to study in an easy and intuitive way, but exhaustive at the same time. This computer program analyzes planar mechanisms of one-degree of freedom and whatever number of links. The program allows users to build a complex mechanism. They can modify any input data in real time changing values in a numeric way or usingthe computer mouse to manipulate links and vectors while mechanism is moving and showing the results. This powerful tool does not only show the results in a numeric way by means of tables and diagrams but also in a visual way with scalable vectors and curves.
