18AU52 Dynamics of Machines syllabus for AU

Static Force Analysis: Introduction, Static equilibrium, Equilibrium of two force, three force and four force members, Members with two forces and torque, Free body diagrams, Static force analysis (graphical) of four bar mechanism and slider-crank mechanism without and without friction.

Dynamic/Inertia Force Analysis: Introduction, D’Alembert’s principle, Inertia force , inertia torque, dynamically equivalent systems, correction couple, line of action of inertia force in a link, inertia force analysis (graphical) of a four bar mechanism, inertia force analysis (analytical) of slider crank mechanism [(i) neglecting the mass of the connecting rod; (ii) considering the mass of the connecting rod].

Balancing of Rotating Masses: Introduction, Static and dynamic balancing, balancing of single revolving mass by balancing masses in same plane and in different planes, Balancing of several masses revolving in the same plane, balancing of several masses revolving in different planes.

Balancing of Reciprocating Masses: Introduction, primary balancing, secondary balancing, Inertia effect of crank and connecting rod, balancing of single cylinder engine, balancing of multi cylinder-inline engine, balancing of V - engines.

Flywheel: Introduction, Turning moment diagrams, Fluctuation of Energy and speed, energy stored in a flywheel, determination of size of flywheels.

Governors: Introduction, Types of governors; force analysis of Porter and Hartnell governors. Controlling force, stability, condition for stability, sensitiveness, iso-chronisms, hunting, effort and power of governor.

Friction: Types friction, law of friction, force analysis of sliding body, screw friction, screw jack, flat pivot bearing, flat collar bearing.

Belt and Chain drives: Types of belts and chains, flat belts; angular velocity, law of belting, length of open and cross belts, centrifugal tension, condition for maximum power. V-belts, ratio of tensions, chain drives, chain pits and chain length.

Gyroscope: Introduction, Vectorial representation of angular motion, gyroscopic couple, effect of gyroscopic couple on bearings, aircraft, ship, stability of two wheelers and four wheelers.

Analysis of cams: Introduction, Analysis of (i) tangent cam with roller follower (ii) Circular arc cam with flat faced follower.

Course Outcomes:

At the end of the course the student will be able to:

• Calculate static and dynamic forces at various points in different types of mechanism, flywheel dimensions.
• Determine and take corrective action on imbalance due to rotating masses and reciprocating masses.
• Find controlling force in various governors.
• Describe fluctuation of energy in flywheel, various types of governors and to understand method of finding.
• Analyse gyroscopic effect on aeroplane and automobiles stability.
• Draw cam profiles for different follower motions.

Question paper pattern:

• The question paper will have ten full questions carrying equal marks.
• Each full question will be for 20 marks.
• There will be two full questions (with a maximum of four sub- questions) from each module.

Textbook/s

1 Theory of Machines Rattan S. S. Tata McGraw Hill Publishing Company Ltd 2012

2 Theory of Machines Sadhu Singh Pearson Publications, New Delhi 2000

Reference Books

3 Theory of Machines and Mechanisms Joseph E. Shigley, Jr. Uicker John McGraw Hill publications 1998

4 Dynamics of Machinery A. R. Holowenko John Wiley & sons. 2000

5 Theory of Machines R. S. Khurmi and J. K. Gupt S. Chand and Co 2015