Theory of Machines 21ME51
Module 1`
Introduction: Mechanisms and machines, Kinematic pairs-types, degree of freedom, Kinematic chains and their
classification, Kinematic inversions,
Velocity and Acceleration analysis of planar mechanisms Graphical method: Velocity and Acceleration Analysis of
Mechanisms Velocity and acceleration analysis of four bar mechanism, slider crank mechanism. Mechanism illustrating
Corioli’s component of acceleration. Angular velocity and angular acceleration of links, velocity of rubbing.
Velocity and Acceleration Analysis of Mechanisms (Analytical Method):Velocity and acceleration analysis of
four bar mechanism, slider crank mechanism using complex algebra method.
Module 2
Static force analysis: Static equilibrium, analysis of four bar mechanism, slider crank mechanism.
Dynamic force analysis: D’Alembert’s principle, analysis of four bar and slider crank mechanism.
Flywheel: Introduction to Flywheel and calculation of its size for simple machines like punching machine, shearing
machine
Module 3
Spur Gears: Gear terminology, law of gearing, path of contact, arc of contact, contact ratio of spur gear. Interference in
involute gears, methods of avoiding interference, condition and expressions for minimum number of teeth to avoid
interference.
Gear Trains: Simple gear trains, compound gear trains. Epicyclic gear trains: Algebraic and tabular methods of finding
velocity ratio of epicyclic gear trains, torque calculation in epicyclic gear trains. Discussions on applications of gear trains.
Module 4
Balancing of Rotating Masses: Static and Dynamic Balancing, Balancing of single rotating mass by balancing masses in
same plane and in different planes. Balancing of several rotating masses by balancing masses in same plane and in
different planes. Discussions on applications.
Balancing of Reciprocating Masses: Inertia Effect of crank and connecting rod, Single cylinder Engine, Balancing in multi
cylinder-inline engine (primary and secondary forces). Discussions on applications
Governors:Types of Governors; Force Analysis of Porter and Hartnell Governors. Controlling Force, Stability,
Sensitiveness, Isochronism, Effort and Power. Discussion on applications.
Module 5
Free vibrations: Basic elements of vibrating system, Types of free vibrations, Longitudinal vibrations- Equilibrium
method, D’Alembert’s principle, Determination of natural frequency of single degree freedom systems, Damped free
vibrations: Under damped, over damped and critically damped systems. Logarithmic decrement.
Forced vibrations: Undamped forced vibration of spring mass system, Damped forced vibrations, Rotating unbalance,
Reciprocating unbalance, Vibration isolation, Critical speed. Discussions on applications.