11M 502 Theories of Machines II Unit I Force Analysis

11M 502 Theories of Machines II


Unit I

Force Analysis

Applied and constraint forces
–

Free body diagrams
–

Static equilibrium conditions
–

Two, three &
four members
–

Static force analysis of simple mechanisms
–

Dynamic force analysis
–

Inertia force
and

Inertia torque
–

D Alembert’s principle
–

The principle of superposition
–

Dynamic Analysis in
reciprocating engines
–

Gas forces
–

Equivalent masses
–

Bearing loads
–

Crank shaft torque


Inertia forces in a reciprocating engine considering the weight of
the connecting rod

9 Hours

Unit II

Turning Moment Diagram and Flywheel

Turning Movement Diagram for a Single Cylinder Double acting Steam Engine and Multi Cylinder
Engine. Fluctuation of Energy. Flywheel and Flywheel in Punching Press. Balancing of masses
–

Basics only


Flywheel in printing and cutting machines

9 Hours

Unit III

Balancing

Single Rotating mass by a Single mass rotating in the Same plane and Two masses rotating in
Different planes. Several masses rotating in the Same plane and Different planes
. Partial Balancing of
Unbalanced primary force in a Reciprocating Engine. Partial balancing of Locomotives. Variation of
Tractive force. Swaying Couples. Hammer Blow. Coupled Locomotives. Primary and Secondary
forces of Multi Cylinder In
-
line Engine. Radi
al and V Engines


Effect of Partial Balancing of Reciprocating Parts of TwoCylinder Locomotives

9 Hours

Unit IV

Vibration

Free Vibration. Natural Frequency of free transverse vibration due to a point load, Uniformly

distributed load acting over a Simply Supported beam and Shaft fixed at both ends carrying a
Uniformly distributed load and a shaft subjected to a number of point loads. Critical speed at a shaft.
Viscous Damping. Damping and Magnification Factor. Randam
vibrations. Resonance migration from
one point to another. Isolation and Transmissibility. Free Torsional Vibrations of a Single, Two and
Three Rotor System. Torsionally Equivalant Shaft.


Logarithmic Decrement and Free torsional vibration of a geared syst
em

9 Hours

Unit V

Mechanism for Control

Governors
–

Types
–

Centrifugal governors
–

Gravity controlled and spring controlled centrifugal
governors
–

Characteristics
–

Effect of friction
–

Controlling force
–

Other Governor mechanisms.
Gyroscopes
–

Gyroscop
ic forces and torques
–

Gyroscopic stabilization
–

Gyroscopic effects in
Automobiles, ships and airplanes.

Sensitiveness and Hunting of governor

9 Hours

Total: 45 + 15 Hours


Textbooks

1. S. S. Rattan,
Theory of Machines
, Tata McGraw Hill Publishing Compan
y Pvt Ltd., New Delhi,

2011.

2. John J Uichker and Joesph E. Shigley,
Theory of Machines and Mechanism
, Tata McGraw Hill

Publishing Company Pvt Ltd., New Delhi, 2005.


References

1. Ashok G Ambekar,
Mechanism and Machine Theory
, Prentice Hall of India, New

Delhi, 2009.

2. R. L. Norton,
Kinematics and Dynamics of Machinery
, Tata McGraw Hill Publishing Company

Pvt Ltd., New Delhi, 2005.

3. Sadhu Singh,
Theory of Machines,
Prentice Hall of India, New Delhi, 2007.

4. Syad and R. L. Singal
, Kinematics of Machine
ry
, Tech Mac Publishers, Chennai, 2007.

5. R. L. Norton,
Kinematics and Dynamics of Machinery
, Tata McGraw Hill Publishing Company

Pvt Ltd,, New Delhi, 20