At the end of this course, the students; 1) An ability to apply knowledge of mathematics, science, and engineering 2) An ability to design and conduct experiments, as well as to analyze and interpret data 3) An ability to design a system, component, or process to meet desired needs within applicable constraints. 4) An ability to identify, formulate, and solve engineering problems 5) An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
Basic definitions. Single degree of freedom systems: Equations of motion, undamped and damped vibrations, free and forced vibrations, response of systems to external excitations. Vibration isolation. Two degree of freedom systems: Equations of motion, coordinate transformation, principal coordinates, vibration modes. Torsional vibration. Introduction to multi-degree of freedom systems.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Introduction
2nd Week
Classification of vibrations
3rd Week
Vibration analysis procedure
4th Week
Free vibration of single degree of freedom
5th Week
Free vibrations with damping
6th Week
Harmonically excited vibratons of undamped vibrations
7th Week
Forced vibrations of damped vibrations
8th Week
MID TERM
9th Week
Coordinate coupling and principal coordinates, vibration modes and nodes.
10th Week
Dynamic vibration absorber.
11th Week
Semi definit systems
12th Week
Dunkerley's formula, Rayleigh's method, fundamental frequencies of beams and shafts.
13th Week
Holzer's method, matrix iteration method, Jacobi's Method, the other methods.
14th Week
A general quick view of multidegree of freedom systems, an introduction to matrix methods, some examples of problems faced in the industry.