Introduction, kinematic chains, inversions & mechanisms:
Definitions Link or element, kinematic pairs, Degrees of freedom, Grubler's criterion (without derivation), Kinematic chain, Mechanism, Structure, Mobility of Mechanism, Inversion, Machine. Inversions of Four bar chain; Single slider crank chain and Double slider crank chain. Straight-line motion mechanisms, Peaucellier's mechanism and Robert's mechanism. Intermittent Motion mechanisms -Geneva wheel mechanism and Ratchet and Pawl mechanism. Toggle mechanism, Pantograph.
Velocity and acceleration analysis of mechanisms:
Velocity and acceleration analysis of Four Bar mechanism, slider crank mechanism and Simple Mechanisms by vector polygons: Relative velocity and acceleration of particles in a common link, relative velocity and accelerations of coincident Particles on separate links- Coriolis component of acceleration. Angular velocity and angular acceleration of links, velocity of rubbing. Definition.
Velocity analysis by Instantaneous Method:
Kennedy’s Theorem, Determination of linear and angular velocity using instantaneous centre method.
Velocity and acceleration analysis of mechanisms, klein's construction:
Analysis of velocity and acceleration of single slider crank mechanism. Analysis of four bar chain and slider crank chain using analytical expressions. (Use of complex algebra and vector algebra). Analysis of velocity and acceleration of single slider crank mechanism by Kleins’s construction.
Gears:
Gear terminology, Law of gearing, Characteristics of involute action, Path of contact, Arc of contact, Contact ratio of Spur, Helical, Bevel and Worm gears, Interference in involute gears. Methods of avoiding interference, Back lash. Comparison of involute and cycloidal teeth. Profile Modification.
Gear Trains:
Types of Gear trains, velocity ratio, Train value, Algebraic and tabular methods of finding velocity ratio of epicyclic gear trains. Tooth load and torque calculations in epicyclic gear trains.
Cams:
Types of cams, Types of followers. Displacement, Velocity and, Acceleration time curves for cam profiles. Disc cam with reciprocating follower having knife-edge, roller and flat-face follower, Disc cam with oscillating roller follower. Follower motions including SHM, Uniform velocity, uniform acceleration and retardation and Cycloidal motion.
Course Outcomes:
At the end of the course the student will be able to:
Question paper pattern:
Textbook/s
1 Theory of Machines Rattan S. S. Tata McGraw-Hill Publishing Company Ltd., New Delhi 3rd edition -2009
2 Theory of Machines Sadhu Singh Pearson Education (Singapore) Pvt. Ltd, Indian Branch New Delhi 2006
Reference Books
3 Theory of Machines & Mechanisms- J. J. Uicker, , G.R. Pennock, J. E. Shigley OXFORD 3rd Ed. 2009