Theory of Mechanism and Machines I
Course Objectives:
To make students understand about different mechanism used in devices or machines and make them able to do complete analysis of mechanism (including linkages, gears, gear trains, cams and followers).
Course Outlines:
 Introduction(2 hours)
 Introduction to the study of mechanisms
 Basic definitions & descriptions
 Mechanism configurations, links, chains, inversions
 Transmission of motion
 Mobility, Degree of freedom
 Linkages and Mechanisms(4 hours)
 Position Analysis of the fourbar mechanism
 Fourbar linkage motion and Grashoff’s law
 Linkage position analysis; loop closure equations & iterative methods
 Introduction to different mechanism : Slider crank, Scotch Yoke,Quick return,toggle,Oldham coupling & Hooke’s Coupling, Straight line, Chamber wheel,constant velocity universal joint, intermittent motion, mechanical computing, etc. mechanisms.
 Synthesis concepts
 Cams and Followers(6 hours)
 Classification of cams and nomenclature
 Graphical cam layout;
 Disk cam with flatfaced follower
 Disk cam with Radial or Offset follower
 Standardized Follower Displacement or Lift curves
 Analytical Cam Design; Disk cam with flatfaced follower: Disk cam with Radial or Offset follower: Disc cam with Oscillating Roller follower
 Other cam layouts
 Cam production methods
 Spur Gears (6 hours)
 Introduction to Involute spur gears
 Geometry of Involutes
 Characteristics of Involute Tooth Action
 Standardization of Gears; Metric system
 Interference of Involute Gears
 Numbers of teeth to avoid interference
 Determining backlash in Involute gears
 Nonstandard Spur gears; extended center distance system
 Methods of gear production
 Bevel, Helical and Worm Gears(5 hours)
 Theory of straight Bevel gears
 Bevel Gear tooth proportions and geometrical details
 Spiral and Hypoid gears
 Theory of helical gears & tooth geometry
 Parallel and crossed shafts for helical gears
 Worm gearing
 Simple and Planetary gear trains (5 hours)
 Theory of Planetary Gear Trains
 Speed Ratios; Formula and Tabular Methods
 Applications
 Assembly of Planetary gear trains
 Kinematic Analysis of Mechanisms(9 hours)
 General Plane Motion Representation
 Relative Motion Velocity Analysis; Velocity Polygons; Graphical or Vector algebra solutions
 Instantaneous centers of velocity
 Kennedy’s theorem
 Velocities by Instantaneous centers
 Relative motion acceleration analysis; Acceleration Polygons; Graphical or Vector algebra solutions; Corilis acceleration applications
 Motion analysis by vector mathematics; Velocity analysis, Acceleration Analysis, Coriolis Acceleration Application
 Analysis by Complex Numbers; Loop Closure Equation for Geometrical Layout, Kinematic Analysis by Complex Numbers Application
 Force Analysis of Mechanisms(8 hours)
 Centrifugal Force, Inertia Force and Inertia Torque
 Methods of Force Analysis – Introduction
 Forces on Gear Teeth spur/bevel & helical gears
 Force analysis on cams & followers
 Superposition Force Analysis Methods, Graphical or Analytical
 Linkage Force by Matrix Methods
 Linkage Force by Method of Virtual Work
 Linkage Force by Complex Number Method
 Applications and Examples
References:
 H.H. Mabie and C. F. Reinholtz, “ Mechanism and Dynamics of Machinery”, Wiley. ( Latest in 2011)
 Mechanisms and machine theory J.S. Rao & R.V. Dukkipati (Latest in 2011)
 J.E. Shigley and J.J. Uicker, Jr., “ Theory of Machines and Mechanisms”, McGraw Hill, ( Latest in 2011)
 Text Book of “ Theory of Machines and Mechanisms” J.S. Rao &
 B. PauSl, “Kinematics and Dynamics of Planar Machinery”, Prentice Hall, (Latest in 2011)
 C. E. Wilson, J.P. Sadler and W.J. Michels. “ Kenematics and Dynamics of Machinery”, Harper Row, (Latest in 2011)
Evaluation Scheme:
There will be questions covering all the chapters of the syllabus. The evaluation scheme for the questions will be as indicated in the table below:
Chapters 
Hours 
Marks distribution * 
1 & 2 
6 
10 
3 
6 
10 
4 & 5 
11 
20 
6 
5 
10 
7 
9 
15 
8 
8 
15 
Total 
45 
80 
*Note: There may be minor deviation in marks distribution.
