17AU43 Kinematics of Machines syllabus for AU



A d v e r t i s e m e n t

Module-1 Introduction, kinematic chains, inversions & mechanisms 10 hours

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. Quick return motion mechanisms-Drag link mechanism, Whitworth mechanism and Crank and slotted lever Mechanism. 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, Ackerman steering gear mechanism.

Module-2 Velocity and acceleration analysis of mechanisms 10 hours

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, Kennedy's Theorem, Determination of linear and angular velocity using instantaneous center method.

Module-3 Velocity and acceleration analysis of mechanisms, klein's construction 10 hours

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

Module-4 Gears & gear trains 10 hours

Gears & gear trains:

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. 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.

Module-5 Cams 10 hours

Cams:

Types of cams, Types of followers. Displacement, Velocity and, Acceleration time curves for cam profiles. Disc cam with reciprocating follower having knifeedge, 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:

On completion above course, students will be able to:

  • Define and explain the terms such as Link, Kinematic chain, Kinematic pair, types of pairs, degree freedom, Mechanism, Machine Mobility.
  • Sketch and explain various types of mechanisms, and their inversions.
  • Draw Velocity and Acceleration of simple mechanisms using Instantaneous centre method, Analytical and Graphical methods.
  • Explain the Gear terminology, Law of gearing, gear tooth systems
  • Determine the velocity ratio of different types of gear trains using tabular and algebraic methods
  • To draw cam profile and calculate the velocity and acceleration of cams at any given instant.

 

Text Books:

1. Theory of Machines- Rattan S. S., Tata McGraw-Hill Publishing Company Ltd., New Delhi, and 3rd edition -2009.

2. Theory of Machines- Sadhu Singh, Pearson Education (Singapore) Pvt. Ltd, Indian Branch New Delhi, 2nd Edi. 2006

 

Reference Books:

1. Theory of Machines & Mechanisms- J. J. Uicker, , G.R. Pennock, J.E. Shigley. OXFORD 3rd Ed. 2009.

2. Mechanism and Machine theory- Ambekar, PHI.

Last Updated: Tuesday, January 24, 2023

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