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Lectures notes
On
Machine Dynamics II
Course Code- BME-317
Prepared by
Prof. Mihir Kumar Sutar
Asst. professor,
Department of Mechanical Engg.

BME 317 : Machine Dynamics-II (M)
Module – I
1. Toothed Gears: Theory of shape and action of tooth properties and methods of generation of
standard tooth profiles, standard proportion , interference and undercutting, methods for
eliminating interference ,minimum number of teeth to avoid interference.(7)
2. Gyroscope:Gyroscopic couple, plane disc, analysis of forces on bearing due to forced
precession of rotating disc mounted on shaft, gyroscopic effect on a two wheel and a four
wheel vehicle ,gyroscopic stabilization(6)
Module - II
3. Cams: Simple harmonics, constant velocity and acceleration types, displacement, velocity and
acceleration of follower ,cams with specified contours.(6)
4. Governors: Centrifugal governors – Watt and Porter governors ,spring loaded governors Hartnell governors , sensitiveness ,stability isochronism, hunting , governer effort and power
,curves of controlling force , effect of friction .(6)
Module - III
5. Balancing: Balancing of revolving masses in one plane and different planes ,partial balancing
of single cylinder ,engine balancing of multicylinder engine ,v and radial engine ,methods of
direct and reverse cranks(5)
6. Dynamics Of Machine: Turning moment diagram ,flywheel.(3)
Module - IV
7. Vibration : Introduction to vibration, causes of vibration, elimination of vibration, types of
vibration – longitudinal, transverse , torsional ; definition of terminology like natural frequency,
amplitude , time period , free vibration, forced vibration, resonance, degree of freedom with
examples , calculation of natural frequency of undamped single degree of freedom system by
Newton’s 2nd Law, D-Alembert’s principle and energy method, Equivalent spring constant for
the system having different types of combination of springs and calculation of their natural
frequencies , calculation of natural frequency of single degree of spring – mass system taking
mass of spring into account (7)
Text Books:
1. Theory of Machines by S S Ratan , TMH
2. Theory of machine by R K Bansal,Laxmi Pub. Pvt. Ltd.,
Reference Books:
1. Mechanism of Machine theory by Rao and Dulchipati, New Age Publication
2. Theory of Mechanism and Machine by Ghosh and Mallick ,East West Press

VEER SURENDRA SAI UNIVERSITY OF TECHNOLOGY BURLAHA
DEPARTMENT OF MECHANICAL ENGG.
LESSON PLAN FOR Machine Dynamics
SUBBJECT CODE: BME- 317, 6th Semester Mechanical
Lecture
Topics to be covered
Lecture 1
Toothed
Gears:
Introduction,
Remark
classification
of
gears,
gear
terminology.
Lecture 2
Gear terminology (contd.), law of gearing, velocity of sliding,
Lecture 3
different forms of teeth, path of contact, arc of contact,
Lecture 4
Number of pairs of teeth in contact, numerical problems.
Lecture 5
Interference in involute gears, minimum number of teeth to avoid
interference, interference between rack and pinion, numerical
problems.
Lecture 6
Numerical problems on interference, minimum number of teeth.
Lecture 7
Undercutting, numerical problems.
Lecture 8
Gyroscope: angular velocity, angular acceleration, gyroscopic
couple, numerical problems.
Lecture 9
Effect of gyroscopic couple on bearings, numerical problems.
Lecture 10 Stability of 4-wheel automobile, numerical problems
Lecture 11 Stability of two wheel vehicle, numerical problems
Lecture 12 Effect of gyroscopic couple on naval ship, numerical problems.
Lecture 13 Effect of gyroscopic couple on aeroplane.
Lecture 14 Cams: Introduction, classification of cams, classification of
followers, basic terminology used.
Lecture 15 Motion of follower: Simple harmonics, numerical problems.
Lecture 16 Constant velocity motion of follower, numerical problems.
Lecture 17
Uniform acceleration retardation of follower, numerical problems.
Lecture 18 Cams with specified contours
Lecture 19 Numerical problems on Cams with specified contours
Lecture 20 Governors: Introduction, types of governor, centrifugal governors,
watt and porter governor, terminology used,
Lecture 21 Numerical problems on centrifugal governors
Lecture 22 Spring loaded governors: Hartnell governor, numerical problems.
Lecture 23 sensitiveness ,stability isochronism, hunting, numerical problems
Lecture 24 curves of controlling force , effect of friction

Lecture 25 Numerical problems on governors.
Lecture 26 Balancing:
Balancing of single revolving mass in same plane,
balancing of several revolving masses in same plane, several rotating
masses in different plane.
Lecture 27 Numerical problems on revolving masses.
Lecture 28 Static and dynamic balancing, balancing of reciprocating mass,
partial balancing of single cylinder engine, numerical examples.
Lecture 29 Partial balancing of multi-cylinder engine, numerical problems.
Lecture 30 Direct and reverse crank method of balancing, numerical problems.
Lecture 31 Turning moment diagram of flywheel: fluctuation of energy,
coefficient of fluctuation of energy, numerical examples.
Lecture 32 Flywheel: energy stored in a flywheel, dimensions of the flywheel
rim, flywheel and punching press. Numerical examples.
Lecture 33 Numerical examples on flywheel.
Lecture 34 Vibration: Introduction to vibration, causes of vibration, elimination
of vibration, types of vibration – longitudinal, transverse , torsional ;
definition of terminology like natural frequency, amplitude , time
period
Lecture 35 Calculation of natural frequency of undamped single degree of
freedom system by Newton’s 2nd Law, D-Alembert’s principle and
energy method.
Lecture 36 Numerical examples on calculation of natural frequency.
Lecture 37 D-Alembert’s principle and energy method, Equivalent spring
constant for the system having different types of combination of
springs and calculation of their natural frequencies ,
Lecture 38 Numerical examples on D-Alembert’s principle and energy method,
and on calculation of natural frequency.
Lecture 39 calculation of natural frequency of single degree of spring – mass
system taking mass of spring into account
Lecture 40 Numerical examples on calculation of natural frequency of single of
spring mass-system.
Prof. M. K. Sutar
Asst. Professor, Deptt. Of Mechanical Engineering

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