Theory of Machines (BME503)

Theory of Machines

Course Code BME503 
CIE Marks 50
Teaching Hours/Week (L: T:P: S) 4:0:0:0 
SEE Marks 50
Total Hours of Pedagogy 52 
Total Marks 100
Credits 04 
Exam Hours 3
Examination type (SEE) Theory

Module­ 1

Introduction: Mechanisms and machines, Kinematic pairs­types, 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 Coriolis 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.

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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.

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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.

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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 cylinder­inline 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.

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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.

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Suggested Learning Resources:

Text Books

1. Theory of Machines Kinematics and Dynamics Sadhu Singh Pearson Third edition 2019

2. Mechanism and Machine Theory G. Ambekar PHI 2009 Reference Books

Reference Books

1. Theory of Machines Rattan S.S Tata McGraw­Hill Publishing Company 2014

2. Mechanisms and Machines­ Kinematics, Dynamics and Synthesis Michael M Stanisic Cengage

Learning 2016

3. Machines and Mechanisms­ David H. Myszka, 2012, Prentice Hall,