International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1449
FREE VIBRATION ANALYSIS ON CANTILEVER BEAM- A REVIEW
Simarnjit Singh
1
, Amandeep Singh
2
,
1
Department of Mechanical Engineering, CTIEMT Jalandhar.
2
Assistant Professor, Department of Mechanical Engineering, CTIEMT Jalandhar.
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Abstract - A simple and unified approach is presented for
the vibration analysis of a cantilever beam. Natural frequency
and damping ratio are calculated with an experimental
process. Estimating damping still remains as one of the biggest
challenge in structure made of different materials like brass,
stainless steel and aluminium. All materials or structures
posses certain amount of internal damping, due to which
energy is either dissipated into heat or radiated away from the
system. Internal damping includes the 10-15% of the total
damping in system. The primary objective of this thesis is the
free vibration analysis of different materials under surface
cracks to estimate the effect of cracks on damping ratio and
natural frequency. All the values will find with the help of
Vibscanner and Omnitrend software under a free vibration
test.
Key Words: Cantilever Accelerometer sensor, Cantilever
Beam, Natural Frequency, Clamp, Damping ratio, Free
Vibration, Vibscanner, Omnitrend.
1.INTRODUCTION
Vibration is the motion of a particle or a body or system of
connected bodies displaced from a position of equilibrium.
Most vibrations are undesirable in machines and structures
because they produce increased stresses, energy losses,
cause added wear, increase bearing loads, induce fatigue,
create passenger discomfort in vehicles, and absorb energy
from the system[1]. Vibration can be desirable: for example,
the motion of a tuning fork, the reed in a woodwind
instrument or harmonica, a mobile phone, or the cone of a
loudspeaker[2]. Yet, most vibrations are undesirable in
machines and structures since they deliver expanded
burdens, vitality misfortunes, cause included wear, build
bearing burdens, affect weakness, make traveler uneasiness
in vehicles, and assimilate vitality from the system. Pivoting
machine parts need watchful adjusting with a specific end
goal to keep harm from vibrations.
Vibration analysis is one of important process in the
field of mechanical engineering. The effect of vibration
absorber on the rotating machineries, vehicle suspension
system and the dynamic behavior of machine tool structures
due to excitation are the important information that design
engineer wants to obtain. This information is very helpful in
designing the system so that to overcome the negative
effects due to excessive amplitude of vibration.
A beam is a structural element that is capable of
withstanding load primarily by resisting against bending.
The bending force induced into the material of the beam as a
result of the external loads, own weight, span and external
reactions to these loads is called a bending moment[3]. In
case of cantilever beams, a horizontal cantilever beam under
a vertical load will bend downward and when this force is
removed, the beam will return to its original shape; but the
inertia of beam tends it into motion. Thus, the beam will
vibrate at its characteristic frequencies as shown in Fig -1.
Fig -1: The beam under free vibration[4]
The cantilever beam movement stops after some time due to
the resistance offered by a body to the movement of a
vibratory system. This is called as Damping. The primary
objective of our work is to find out the vibration
characteristics of cantilever beam under different conditions.
2.LITERATURE SURVEY
A wealth of literature exists in the area of vibrations of beams
but while going through the literature regarding material
damping of cantilever beams it has been figured out that still
a lot of work has to be done regarding it. Usually whenever
study of various materials has been done the focus of
researchers has been damping, mode shapes, resonant
frequency, etc. but material damping has not been paid much
attention. Some important literatures are given below:
Shibabrat Naik, Wrik Mallik[5] estimating the dynamic
properties of a cantilever by using aluminium as a cantilever.
All these values are analyzed on seven different patches
which are designed at constant gap on aluminium beam.
Accelerometer is connected to each patch one by one and
Hammer is stroked on that patch to obtain the mode shapes,
modal frequencies and the damping parameters. A fast
Fourier transform analyzer, PULSE lab shop was used to