## Course Detail

 Course Name Kinematics of Machines Course Code 15MEC212 Program B. Tech. in Mechanical Engineering Semester Four Year Taught 2019

### Syllabus

##### Unit 1

Basics of Mechanisms
Definitions – Link, Kinematic pair, Kinematic chain, Mechanism and Machine – Degree of Freedom – Mobility – Kutzbach criterion (Gruebler’s equation) – Grashoff’s law – Kinematic Inversions of four-bar chain and slider crank chain – Mechanical Advantage – Transmission angle. Description of common Mechanisms – Offset slider mechanism as quick return mechanisms, Pantograph, Straight line generators (Peaucellier and Watt mechanisms), Steering gear for automobile, Hooke’s joint, Toggle mechanism, Ratchets and escapements – Indexing Mechanisms, Steering gear mechanisms such as Davis and Ackermann Steering gear.

##### Unit 2

Kinematic Analysis
Analysis of simple mechanisms (Single slider crank mechanism and four bar mechanism) – Graphical Methods for displacement, velocity and acceleration, velocity and acceleration polygons, Instantaneous Centre of Velocity, Kennedy Theorem, Klein’s Construction; Shaping machine mechanism – Coincident points – Coriolis acceleration, Analytical method of analysis of slider crank mechanism and four bar mechanism. Approximate analytical expression for displacement, velocity and acceleration of piston of reciprocating engine mechanism.

##### Unit 3

CAMS
Classifications – Displacement diagrams – Parabolic, Simple harmonic and Cycloidal motions – Graphical construction of displacement diagrams and layout of plate cam profiles – circular arc and tangent cams.

GEARS
Classification of gears – Gear tooth terminology – Fundamental Law of toothed gearing and involute gearing – Length of path of contact and contact ratio – Interference and undercutting – Gear trains – Simple, compound and Epicyclic gear trains – Differentials.

##### Unit 4
• To study various types of kinematics links, pairs, chains and mechanisms
• To study inversions of a 4-Bar mechanism
• To study the inversions of single mechanism
• To study the inversions of double slider crank mechanism
• To plot joint angle, velocity and acceleration of coupler link against crank rotation for a four-bar mechanism.
• To plot slider displacement, velocity and acceleration of slider against crank rotation for slider crank mechanism
• To study various types of gears – helical, cross helical, worm, bevel gear, rack and pinion.
• To study various types of cam and follower arrangements.
• To Study various types of gear trains – Simple, Compound, reverted, Epicyclic and Differential.
• To Develop a prototype of a four-bar mechanism
• To Develop a prototype of a Geneva mechanism

### Text Books

• Rattan S. S. – ‘Theory of Machines’ – McGraw Hill IndiaPvt. Ltd. – 2014 – 4th Edition

### Resources

• Thomas Bevan – ‘Theory of Machines’ – CBS Publishers and Distributors – 2005 – 3rd Edition
• Ghosh A. and Mallick A. K. – ‘Theory of Mechanisms and Machines’ – Affiliated East-West Press Pvt.Ltd. New Delhi – 2008.
• Shigley J. E. and UickerJ. J. – ‘Theory of Machines and Mechanisms’ – Oxford Publishers – 2014 – SI units Edition
• Rao J. S. and Dukkipati R. V. – ‘Mechanism and MachineTheory’ – New Age Publishers, New Delhi – 2008
• John Hannah and Stephens R. C. – ‘Mechanics of Machines’ – 1999 – Viva low-Priced Student Edition
• Sadhu Singh – ‘Theory of Machines’ – Pearson Education – 2011 – 3rd Edition

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