Static force analysis: Static equilibrium, analysis of four bar mechanism, slider crank mechanism, shaper mechanism. Dynamic force analysis: D’Alembert’s principle, analysis of four bar and slider crank mechanism, shaper mechanism.
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.
Balancing of Reciprocating Masses: Inertia Effect of crank and connecting rod, Single cylinder Engine, Balancing in multi cylinder-inline engine (primary and secondary forces), V-type engine, Radial engine – direct and reverse crank method.
Governors: Types of Governors; Force Analysis of Porter and Hartnell Governors. Controlling Force, Stability, Sensitiveness, Isochronism, Effort and Power.
Gyroscope: Vectorial representation of angular motion, Gyroscopic couple. Effect of gyroscopic Couple on plane disc, ship, aeroplane, Stability of two wheelers and four wheelers.
Free vibrations: Basic elements of vibrating system, Types of free vibrations, Longitudinal vibrations- Equilibrium method, D’Alembert’s principle, Energy method, Rayleigh’s method. Determination of natural frequency of single degree freedom systems, Effect of spring mass, 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, Support motion(absolute and relative motion), Transverse vibration of shaft with single concentrated load, several loads, uniformly distributed load, Critical speed.
Course Outcomes:
At the end of the course, the student will be able to:
CO1: Analyse the mechanisms for static and dynamic equilibrium.
CO2: Carry out the balancing of rotating and reciprocating masses
CO3: Analyse different types of governors used in real life situation.
CO4: Analyse the gyroscopic effects on disks, airplanes, stability of ships, two and four wheelers
CO5: Understand the free and forced vibration phenomenon.
CO6: Determine the natural frequency, force and motion transmitted in vibrating systems.
Question paper pattern:
Textbook/s
1 Theory of Machines: Kinematics and Dynamics Sadhu Singh Pearson Third edition 2019.
2 Mechanism and Machine Theory G. Ambekar PHI 2009
Reference Books
1 Theory of Machines Rattan S.S. Tata McGraw-Hill Publishing Company 2014
2 Mechanisms and Machines- Kinematics, Dynamics and Synthesis Michael M Stanisic Cengage Learning 2016