Description
Primarily intended for the students of B.Tech., M.Tech., and M.S. programmers, who are studying a first course on Kinematics of Machines, this book presents the theory and applications of the subject in an easy – to – read style. It introduces the students to various topics of the broader subject of Theory of Machines such as Velocity and Acceleration Analysis, Cams, Gears and Gear Trains, etc., to name a few. The theory content is supplemented by typical solved problems and problems for exercise to help the students prepare well for the examinations.
Table of Content
Chapter 1 Simple Mechanisms
1.1 Definitions
1.2 Kinematic Link or Element
1.2.1 Classification of Kinematic Links
1.2.2 Types of Kinematic Links
1.3 Kinematic Joint
1.4 Kinematic Pair
1.4.1 Types of Constraints
1.4.2 Types of Kinematic Pairs
1.5 Some Important Mechanisms
1.5.1 Four-Bar Chain
1.5.2 Single Slider Crank Chain Mechanism − Inversions
1.5.3 Double Slider Crank Chain − Mechanism Inversions
1.6 Compound Kinematic Chains
1.7 Degrees of Freedom
Chapter 2 Velocity Analysis
2.1 Velocity Diagrams –Relative Velocity Method
2.1.1 Mechanisms–Relative Velocity Method
2.2 Velocity Diagrams − Instantaneous Center Method
2.2.1 Concept of Instantaneous Center of a Link
2.3 Kennedy’s Three-Centers-in-Line Theorem
2.4 Types of Instantaneous Centers
2.4.1Method of Locating the Instantaneous Centers in a Four-bar Chain
2.4.2 Single Slider Crank Chain
2.5Klein’s Construction for the Velocity Diagram of a Reciprocating Engine Mechanism
2.6Crank and Slotted Lever Mechanism
2.7 Toggle Mechanism
2.8 Sewing Machine Needle-bar Mechanism
Chapter 3 Acceleration Analysis
3.1 Acceleration of Points on Links in Mechanisms
3.2 Acceleration Center of a Link
3.3 Analytical Determination of Velocity and Acceleration of Piston in a Reciprocating Engine
3.4 Acceleration Diagram for a Reciprocating Engine
3.5 Klein’s Construction for the Acceleration of Piston in a Reciprocating Engine
3.6 Coriol is Component of Acceleration
3.7 Acceleration Diagram of Crank-and-Slotted Lever Mechanism
Chapter 4 Mechanisms of Lower Pairs
4.1 Exact Straight Line Motion Mechanisms
4.1.1 Condition for Producing Exact Straight Line Motion
4.1.2Peaucillier Mechanism
4.1.3 Hart Mechanism
4.1.4 Scott-Russell Mechanism
4.1.5 Modified Scott-Russell Mechanism
4.2 Approximate Straight Line Motion Mechanisms
4.2.1 Grasshopper Mechanism
4.2.2Tchebicheff Mechanism
4.2.3 Robert’s Straight Line Motion Mechanism
4.2.4 Watt Mechanism
4.3 Pantograph
4.4 Steering Gears
4.4.1 Condition for Correct Steering
4.4.2 Davis Steering Gear Mechanism
4.4.3 Ackermann Steering Gear Mechanism
4.5 Hooke’s Joint
4.5.1 Double Universal Joint
Chapter 5 CAMS
5.1 Classification of Cams
5.2 Types of Followers
5.3 Determination of the Cam Profile to Suit a Specific Motion for Follower
5.4 Types of Displacement of Follower Motion
5.4.1 Uniform Velocity
5.4.2 Simple Harmonic Motion (SHM)
5.4.3 Uniform Acceleration and Retardation
5.5 Drawing the Cam Profile
5.6 Cams with SpecifiedContours
5.6.1 Tangent Cam with Reciprocating Roller Follower
5.6.2 Circular Arc (Convex) Cam with Roller Follower
Chapter 6 Belt, Rope and Chain Drives
6.1 Belt Drives
6.1.1 Types of Belts
6.1.2 Belt Materials
6.2 Types of Belt Drives
6.3 Velocity Ratio of Belt Drives
6.4 Length of the Belt .
6.4.1 Open Belt Drive
6.4.2 Crossed Belt Drive
6.5 Power Transmitted by a Belt Drive
6.5.1 Ratio of Driving Tensions for Flat Belt Drive
6.5.2 Determination of the Angle of Contact Between the Belt and Pulley
6.6 Centrifugal Tension in Belt Drives
6.7 Maximum Tension in the Belt
6.8Condition for Transmission of Maximum Power
6.9 Initial Tension in Belts
6.10 Creep
6.11 V-Belt Drive.
6.12 Rope and Chain Drives
6.12.1 Rope Drive
6.12.2 Chain Drives.
6.12.3 Velocity of Chain
6.12.4 Classification of Chains
Chapter 7 Toothed Gearing
7.1 Introduction
7.2 Classification of Gears
7.3 Spur Gears.
7.3.1 Gear Tooth Terminology
7.4 Forms of Gear Teeth
7.4.1 Cycloidal Teeth.
7.4.2 Construction of the Cycloidal Tooth Profile
7.4.3 Construction of the Involute Tooth Profile
7.5 Law of Gearing − Condition for Constant Velocity Ratio of Toothed Wheels
7.6 Velocity of Sliding of Gear Teeth
7.7 Centre Distance Between the Mating Gear Wheels
7.8 Length of Path of Contact
7.9 Length of Arc of Contact
7.10 Interference in Involute Gears
7.11 Effect of Changing the Centre Distance on the Velocity Ratio in Involute Gears
7.12 Important Characteristics of Involute Profile Gear Teeth
7.13 To Find the Minimum Number of Teeth to Avoid Interference
7.14 Interference Between Rack and Pinion
7.15 Undercutting
7.16 Methods of Eliminating or Reducing Interference
7.17 Helical and Spiral Gears
7.17.1 Velocity Ratio of Helical Gears
7.17.2 Helical Gear Terminology
7.17.3 Forces on Helical Gears
7.17.4 Efficiency of Helical and Spiral Gears
7.18 Worm and Worm Gearing
7.18.1 Terminology of Worm Gears
7.18.2 Velocity Ratio
7.18.3 Centre Distance Between the Shaft Axes of Worm and Worm Wheel
7.18.4 Efficiency of Worm Gears .
7.19 Bevel Gears
7.19.1 Terminology of Bevel Gears
Chapter 8 Gear Trains
8.1 Introduction
8.2 Simple and Compound Gear Trains
8.2.1 Types of Gear Trains
8.3 Epicyclic Gear Trains
8.3.1 Principle of Epicyclic Gear Train
8.3.2 Tabular Method (To Find the Train Value or Velocity Ratio of Epicyclic Trains)
8.3.3 Algebraic Method or Relative Velocity Method
8.3.4 Torques and Tooth Loads in Epicyclic Gear Trains
8.4 Sun and Planet Gears
8.5 Bevel Epicyclic Gear Trains
8.6Compound Epicyclic Gear Train
8.7 Ferguson’s Paradox
8.8 Automotive Transmission Gear Trains − Introduction
8.8.1 Sliding Gear Box
8.8.2Preselective Gear Box
8.8.3Differential Gear
About The Author
Dr. A. Chandra Sekhara Kumar is a Professor of Mechanical Engineering who had retired as Vice Principal from Jawaharlal Nehru Technological University College of Engineering, Hyderabad. He has more than 40 years of teaching experience in B.I.T.S., Pilani, Higher College of Technology, Muscat, Sultanate of Oman and J.N.T.U.H., Hyderabad put together. He had taught the subject of Theory of Machines for many batches of students of B.Tech., during his long service in J.N.T.U.H., Hyderabad. Besides, he is an active Researcher in the field of Production Engineering, and so far ten research scholars obtained Ph.D under his guidance, and another five research scholars are currently working under his supervision. He has nearly 75 research publications to his credit in various reputed International and National Journals and Conferences.
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