this slide deals with the basic concepts related to mechanical vibrations for more information you can go through any mechanical vibration book available for engineering students

1. FUNDAMENTALS OF VIBRATION
BY:- SHUBHAM CHAURASIYA
(DEPARTMENT OF MECHANICAL
ENGINEERING PUNJAB UNIVERSITY)

2. BASIC CONCEPTS OF VIBRATION?
 Vibration is a mechanical phenomena whereby
oscillation occur about an equilibrium point
 All bodies having mass and elasticity are capable of
producing vibration
 The mass is inherent of the body and elasticity
causes relative motion among its parts
 When body particles are displaced by the
application of external force the internal forces in
the form of elastic energy are present in the body
 In this way, vibratory motion is repeated indefinitely
and exchange of energy takes place

3. SOME BASIC DEFINITIONS

4. FREE AND ITS SUB TYPES
FREE VIBRATION:-
In Free vibration, the object is not under the influence of any
kind of outside force.
a)Longitudinal vibration: when the particles of the body move
parallel to the axis of the body, the vibration is known as
longitudinal vibration.
b)Transverse vibration: hen the particles of the body move
nearly perpendicular to the axis of the body, the vibration is
known as transverse vibration.
c)Torsional vibration: When the particles of the body move in
a circle about the axis of the body, the vibration is known as
torsional vibration.

5. LONGITUDINAL
VIBRATION
TRANSVERSE
VIBRATION
TORSIONAL
VIBRATION

6. FORCED VIBRATION
When a periodic disturbing force keeps the body in
vibration through out its entire period of motion,
such vibration is said to be a forced vibration. The
frequency of vibration of the body is same as the
frequency of the applied force.

7. DAMPED VIBRATION
 If the vibratory system has a damper the motion of
the system will be dissipated in friction.this type of
vibration is called damped vibration

8. UNDAMPED VIBRATION
 On the contrary,the system no damper is known as
undamped vibration

9. LINEAR AND NON-LINEAR VIBRATION
 If in a vibratory system mass,spring and damper
behave in a linear manner,the vibrations caused are
known as linear in nature.Linear vibrations are
governed by linear differential equations.They
follow the law of superposition.Mathematically if a1
and a2 are solution of 1 &2 then a1+a2 is solution
of 3 1
2
3
On the other hand if the amplitude of vibration is very high it
Becomes non linear in nature

10. RESONANCE
 When the frequency of external excitation is equal
to the natural frequency of a vibrating body,the
amplitude of a vibration becomes excessively
large.This concept is known as resonance

11. CONTINUOUS SYSTEM
 Most of the mechanical system include elastic
members which have infinite no. Of degree of
freedom are called continuous system
cantilever beam a typical example of continuous system

12. DISCRETE SYS
 System with finite number of degree of freedom are
called discrete or lumped system
System with
1 degree of freedom
System with 2 degree of freedom

13. SHM(SIMPLE HARMONIC MOTION)

14. SHM

15. SHM CONTINUED.....

16. SHM CONTINUED.....

17. ADDITION OF SHM

18. FOURIER SERIES
 J.Fourier, a French mathematician, developed this
 It is a periodic function in terms of series of sines
and cosines
 With the help of this series vibration results
obtained experimentally can be analysed
analytically

19. MATHEMATICAL FORM OF FOURIER
SERIES