Theory of Mechanisms and Machines (TMM)
Contents
Preface
1. Introduction
1.1. General Terms
1.2. Remarks on the History of Mechanisms and Machines
1.3. Mechanical Engineering in Lithuani
1.4. Origin of Theory of Mechanisms and Machines (TMM)
1.5. Name
2. Mechanism Structure
2.1. Links
2.2. Kinematic Pair
2.3. Number of Degrees of Freedom of Kinematic Pairs
2.4. Schematic Representation of Kinematic Pairs
2.5. Structural and Kinematic Diagrams
2.6. Degrees of Freedom (DOF) of a Mechanism
2.7. Kinematic Chain
2.8. Overconstrained Mechanisms
2.9. Higher Kinematic Pair Replacement
2.10. Mechanism Synthesis Phases. Number Synthesis
2.11. Classification of Mechanisms
2.12. Modern Methods in Mechanism Structural Analysis
3. Linkages
3.1. Linkage Types
3.2. Path Generating Linkages
3.3. Function Generation Linkages
3.4. Motion Generation Mechanisms
3.5. Four-Link Mechanisms
3.6. Inversions
4. Gear Types
4.1. Drive Types
4.2. Spur, Helical, and Herringbone Gears
4.2.1. Spur Gears
4.2.2. Helical Gears
4.2.3. Herringbone Gears
4.3. Worm Gears
4.4. Rack and Pinion
4.5. Bevel and Hypoid Gears
4.5.1. Bevel Gears
4.5.2. Hypoid Gears
4.6. Belt and Chain Drives
5. Involute Spur Gears
5.1. The Fundamental Law of Gearing
5.2. Involute Tooth Form
5.3. The Geometry of the Involute Spur Gearset
5.4. Spur Gear Tooth Nomenclature
5.5. Gear Tooth and Gear Mesh Parameters
5.6. Contact Ratio
5.7. The Center Distance Change
5.8. Gear Teeth Interference and Undercutting
6. Gear Trains
6.1. Simple Gear Trains
6.2. Compound Gear Trains
6.3. Planetary and Differential Gears
6.4. Vehicle Differential
7. Cam Mechanisms
7.1. Introduction
7.2. Cam Types
7.3. Disk Cam with Radial Follower Nomenclature
7.4. Cam Mechanism Synthesis
7.5. Cam Profile Synthesis
8. Mechanism Kinematics. Graphical and Graphoanalytical Methods
8.1. Introduction
8.2. Defining Mechanism Position and Point-Path Displacement Diagrams
8.3. Velocities and Accelerations in Mechanisms by Method of Relative Velocities
9. Kinematic Analysis. Mathematical Kinematic Analysis
9.1. Introduction
9.2. Vector Method of Kinematic Analysis
9.3. Mechanism Analysis by Trigonometry
9.4. Kinematic Analysis of Linkages by Coordinate Transformation Method
9.4.1. Method Idea
9.4.2. Matrix Techniques by Using Examples
10. Machine Dynamics
10.1. Introduction
10.2. Dynamic Model
10.3. Equation of Motion Constructing Methods
10.3.1. General Form
10.3.2. Force Reduction
10.3.3. Mass Reduction
10.3.4. Constructing the Equation of Motion by Using Reduced (Equivalent) Parameters
10.4. Equation of Motion Solving Methods
10.4.1. Analytical Methods
10.4.2. Numerical Methods
10.4.3. Graphical Methods
10.5. Regulation of Machine Motion
10.5.1. Steady Motion Performances
10.5.2. Methods to Achieve the Desired Uniformity of Velocity
10.5.3. Achieving the Desired ωc Value
11. Force Analysis of Mechanisms
11.1. Introduction
11.2. Determination of Inertia Forces
11.3. Determination of the Reaction Forces in Kinematic Pairs
11.4. Pressure Angles in Mechanisms
11.4.1. Four-Bar Mechanism
11.4.2. Slider-Crank Mechanism
11.4.3. Cam Mechanism
11.4.4. Gearset
11.5. Efficiency of a Mechanism
11.6. Mechanical Advantage of a Mechanism
12. Vibrations and Vibration Protection
12.1. Link and Mechanism Elasticity
12.2. Influence of Elasticity on Mechanism Performance
12.2.1. Distortion of the Link Laws of Motion
12.2.2. Pressure Redistribution in Kinematic Pairs
12.2.3. Redistribution of Forces in Links
12.2.4. Dynamic Loading of Links
12.3. Vibration Protection in Mechanisms
12.3.1. Vibration Isolation
12.3.2. Dynamic Absorber
12.3.3. Dampers
12.3.4. Rotor Balancing
12.3.4.1. Static Balancing
12.3.4.2. Dynamic Balancing
12.3.5. Balancing Linkages
13. Mechanism Synthesis
13.1. Mechanism Synthesis and Its Tools
13.2. Examples of Mechanism Synthesis by Special Geometric and Analytical Methods
13.3. Mechanism Synthesis by Function Approximation Methods
13.3.1. Function Approximation at Mechanism Synthesis
13.3.2. Applying Function Approximation Methods
13.3.2.1. Function Interpolation Method
13.3.2.2. Square Approximation Method
13.3.2.3. Best Function Approximation Method
13.4. Mechanism Optimization
13.4.1. Standard Form of Engineering Optimization Problem
13.4.2. Mathematical Foundations of Solving the Engineering Optimization Problem
References