Journal of Engineering Research and Reports
15(2): 43-50, 2020; Article no.JERR.59516
ISSN: 2582-2926
Establish Measurement System for Vibration Lab
Unit Using Arduino
Haithem Elderrat1, Nasseradeen Ashwear1*, Omr Aweib1 and Ali Elmahrouq1
1
Mechanical Engineering Department, Faculty of Engineering, Misurata University, Misurata, Libya.
Authors’ contributions
This work was carried out in collaboration among all authors. Authors HE and NA designed the study,
performed the statistical analysis, wrote the protocol and wrote the first draft of the manuscript.
Authors HE and OA managed the analyses of the study. Authors NA and AE managed the literature
searches. All authors read and approved the final manuscript.
Article Information
DOI: 10.9734/JERR/2020/v15i217143
Editor(s):
(1) Dr. Guang Yih Sheu, Chang-Jung Christian University, Taiwan.
Reviewers:
(1) Marcos Aurélio Ayres da Silva, Federal University of Piauí, Brazil.
(2) Odilon Linhares Carvalho Mendes, Instituto Tecnológico de Aeronáutica, Brazil.
Complete Peer review History: http://www.sdiarticle4.com/review-history/59516
Original Research Article
Received 24 May 2020
Accepted 31 July 2020
Published 07 August 2020
ABSTRACT
As science and technology develop quickly, suitable measurement system is becoming more
achievable. In dynamics of structures, measuring vibrations take a serious view during the process
of design and construction to avoid resonance. The main objective of this study is to establish a
vibration measurement system for a laboratory vibration unit by using a virtual instrumentation
system. The Arduino microcontroller is used as the receiver of the electrical signals coming from
the displacement sensor, which is connected to the vibration unit. The microcontroller then
processes the electrical signals and send it to LabVIEW software on the computer for processing.
The established measurement system is able to calculate the vibration of the moving body. Hence,
the natural frequency of the system could be determined, and shock absorber for the unit could be
designed. Results have been validated using calculated theoretical results of the unit. Thus, the
unit is ready to conduct laboratory experiments on the concept of mechanical vibration.
Keywords: Mechanical vibrations; vibration measurements; structures dynamics.
_____________________________________________________________________________________________________
*Corresponding author: Email: ashwear@mech.kth.se;
Elderrat et al.; JERR, 15(2): 43-50, 2020; Article no.JERR.59516
1. INTRODUCTION
hardware equipment and some software
programs are available in the university. Lab’s
vibration unit is one of the equipment. However,
the measurement system of this unit is not
available; such missing makes the unit useless.
Therefore, this article aims to establish a
measurement system for the vibration unit lab at
the university by using an Arduino microcontroller
and LabVIEW software. This paper is consisted
of presenting the importance of measurement
system with paying more attention to vibration
measurement system by virtual instrumentation.
Then, presenting establish measurement system
for the lab vibration unit by using Arduino. Finally,
the theoretical calculations and experimental
results are presented and compared.
A suitable measurement system is essential in
the field of technology. It has an important effect
for the engineering system, such as control
systems in electrical plants, performance
monitoring of machines, measurement of the
roughness of vehicle roads, and monitoring
nuclear plant [1-2]. There are a large number of
previous studies in the metrology field and
design
measurement
instrumentation,
for
instance; assessment of surface roughness
using the Linear Variable Differential Transformer
(LVDT) and an Arduino mega microcontroller as
a receiver for data transmission to the computer
was introduced [3]; Such system was developed
an efficient and cost-effective approach to
measuring surface roughness. Muhammad et al.
[4] published a study on liquid level detection
techniques. The study included the creation of a
small range by LVDT, which is used in detecting
water, petroleum and gasoline levels, through the
sensitivity of the differential converter resulting
from the linear displacement works with good
precision. Joshi et al. [5] studied the
measurement system in civil application such as
the extensive use of the rail to measure dynamic
displacement and detect vibrations in structures.
Masi et al. [6] studied the effect of magnetic
fields and they argue that fixed or variable
magnetic fields could affect the performance of
the measurement system.
2. MEASUREMENT OF VIBRATION
Vibration means the state of an object moving
repetitively back/forward, right/ left or up/down
and is generally expressed by Frequency (Hz),
Displacement (μm, mm), Velocity (mm/s, cm/s),
2
and Acceleration (m/s , g).
Measurement of vibration is an important topic in
applications and equipment. An important reason
is to avoid resonant conditions such as those that
destroyed the Tacoma Narrows Bridge in 1940,
three months after its construction. In addition,
measurement of input and output vibrations of
any system enables engineers to determine the
model parameters (mass, stiffness, and
damping) of a system, and with these
parameters determine the natural frequency of
the system. Vibration measurement is used not
only when the problem occurs but also when the
daily maintenance is performed. The production
system is kept in operation by detecting the
deterioration or possible failure of a part through
adverse vibration patterns.
In the automotive and dynamic systems,
researchers paid significant attention to measure
the vibrations of moving bodies on roughness
surface [7]. Elderrat have used the compression
load cells sensors and displacement transducer
connected with MTS software and MTS Flex Test
controller for continuous data acquisition to
measuring the vibrating parameters in FFFluid
vibration isolators [8]; while Al-Zughaibi et al. [9]
have used accelerometer sensor with MATLAB
software as the measurement system to study
the effects of bearing’s body friction in
diminishing or removing the fluctuation of the
body for quarter car test rig in cooperated with
suspension system units. Both measurement
systems in these studies have a possibility to
record the input displacement against the output
force of the test rig. Subsequently, the
displacement vs force diagram could be obtained
for both static and dynamic load. They have
achieved acceptable results in the experimental
test.
Measuring the condition of things was first
performed by human sense, then simple devices
such as rulers were used, but nowadays
measuring the parameters of a machine need
complex and huge applications and consists of
different
components.
All
measurement
application can be divided into three main tasks;
data acquisition, data processing, and data
distribution [10]. These processes are shown in
Fig. 1. The term ‘data acquisition’ is used for
elements which obtain information or signals
relating to the quantity of a parameter being
measured. The term ‘data processing’ is used for
elements that amplify or reduce data and then
digitalize making it ready to be accepted by a
Misurata University is concerned in the
equipment of experimental labs, different
44
Elderrat et al.; JERR, 15(2): 43-50, 2020; Article no.JERR.59516
modern phase, where the hardware and software
are integrated into the measurement system. A
virtual instrument is defined as a layer of
software and hardware added to a generalpurpose computer that users can interact
with the computer as though it were their
own custom-designed traditional electronic
instrument [11]. This phase is considered
much convenience one in the structures
dynamic systems and it is used in
highly technical areas, such as biomedical [11].
Hence, such instrumentation is used in this
study.
computer. ‘Data distribution’ is where the data is
displayed, recorded or transmitted to some
control system.
As with any modern science, instrumentation
systems improved quickly during the last century.
The development period had been divided into
four phases [11]. The first period uses analog
measurement devices. It is represented by pure
analogue system devices, for example,
oscilloscopes, which consist of power supply,
sensors, translators, and screen displays. This
system was completely closed, so they needed a
manual setting. Data acquisition and processing
devices are part of the second phase. In this
phase,
the
measurement
system
was
incorporated with a control system such as an
array or Proportional–integral–derivative (PID)
controller. The third phase is digital processing,
where the measurement system becomes
computer based and needed to digitalize the
signal to convey to a computer. This stage also
begins using interfaces to communicate between
instruments and computers and includes the
rapid development of measurement methods and
tools, especially of those that are computerbased or assisted. The last phase is the
distributed virtual instrumentation. It is the most
3. DESIGN OF THE
INSTRUMENTATION
MEASUREMENT
The lab vibration unit consists of a cantilever
beam fixed at one end and a suspended with a
spring at the other end. An exciter (vibrating
force) is placed at the middle of the beam, as
shown in Fig. 2-a. The unit has been designed to
add shock absorbers and remove them as
needed, as shown in Fig. 2-b. To carry out
experimental dynamic investigations, it is
important to measure the amplitudes of the
vibrating beams and to establish virtual
instrumentation for such unit.
Fig. 1. Elements of the measurement system
(a)
(b)
Fig. 2. Vibration unit lab: (a) Single beam, (b) Beam with shock absorber
45
Elderrat et al.; JERR, 15(2): 43-50, 2020;; Article no.JERR.59516
no.
The idea of the measurement system is to use
the Linear Variable Differential Transformer
(LVDT)) sensor which is essentially a differential
inductive sensor. The magnetic core moves
through the energized windings, producing both
a voltage and a phase. In other words, this
sensor can sense the amplitude and convert it to
electrical signal [12]. Then, the Arduino was used
as a receiver for the data received by LVDT to be
digitalized. After that, this data is sent to a
computer to be processed by using the Arduino
IDE program and viewed by using the LABVIEW
program. Fig. 3 shows the network connecting
he parts of the measurement system.
the
mathematical equation, which describes the
calibration curve, is also found. This equation
used the data (the electrical signal) coming from
the sensor.
Fig. 5 shows the code written on the Arduino IDE
program for reading the signall of LVDT and
displaying the results on the screen, taking into
consideration the writing of the calibration
equation to obtain reliable results. In addition,
LABVIEW is used to display the measurement
results. Hence, the program of LABVIEW is
designed for results demonstration. The
instrumentation system connected with the
vibration unit lab is showing in Fig. 6.
4. THEORETICAL CALCULATIONS
By establishing the measurement system and
connecting it with the vibration unit lab, it is
important to validate its results. This unit aims to
find the natural frequency of the system and to
determine the mass added to a shock absorber
that minimizes the amplitude of vibration
beam experimentally. Therefore, it is vital to
calculate these parameters theoretically to
compare between the experimental and
theoretical results.
Fig. 3. Elements connection
ction of the
measurement system
To calculate the natural frequency of the unit that
a, it is important
was previously shown in Fig. 2-a,
to find the equivalent mass and stiffness element
of the system. The beam is made from steel, with
young's modulus
= 210
/
and has a
width = 25
, height ℎ = 12
, and length
= 838
. The stiffness of the cantilever beam
is can be calculated as in [10]:
After connecting the elements of the
measurement system, the calibration process is
an essential activity. Therefore, LVDT is
calibrated to ensure that it sends signals with the
same amount of the changes in displacement
and has zero displacement (from stable position)
at zero voltage. Fig. 4 shows the relationship
between the output signal of LVDT and the
ment.
The third-order
changes of displacement.
third
=
Fig. 4. Calibration of LVTD
46
=
∗
(
∗
)
= 3.85 /
(1)
Elderrat et al.; JERR, 15(2): 43-50, 2020; Article no.JERR.59516
Fig. 5. Code of arduino IDE
Fig. 6. Instrumentation system connected with the vibration unit lab
5. EXPERIMENTAL RESULTS
This beam is connected in parallel with the
spring. Therefore, equivalent stiffness of all
system is
= 6.56 /
. The mass of exciter
= 4.607 , while the mass of the
(vibrator) is
= 2.097 . So, the total equivalent
beam is
= 6.704
.
mass at the middle system is
Hence, the natural frequency of the system is:
=
=
.
.
/
= 31.29 (
/ ) = 298.8
The working mechanism of the measurement
system and its connection with the vibration
device located in the laboratory, is showing in
Fig. 6. The procedures of the test were as the
following: the vibration force with frequency of
100 rpm was applied to the beam; then the
amplitude was recorded. Subsequently, this
procedure is repeated several times with
increasing the frequency by 20 rpm at each time.
(2)
47
Elderrat et al.; JERR, 15(2): 43-50, 2020;; Article no.JERR.59516
no.
Thus, the relationship between frequency
frequ
and
amplitude is plotted. After that, the shock
absorber was installed and repeating the
previous procedures.
4018.83 / . The natural frequency from Fig. 7
= 298.8 RPM.Therefore, to find the attached
mass to the shock absorber, it’s should be:
=
To find the natural frequency experimentally, Fig.
frequ
7 shows the relationship between the frequency
and amplitude. The maximum amplitude of the
beam occurs when the frequency of force is
equal to the natural frequency of the beam [13].
Hence, from Fig. 8, the natural frequency of the
system is 300 rpm, which is close to the
theoretical results 298.8 rpm (Equation 2).
∗
(
∗
/ )
.
= 2.009 /
.
.
) (
/
/ )
= 4.5
(4)
For validation, the experiment was repeated by
using different types of beams, and the results of
rimental data matched with the
the experimental
theoretical calculations. Fig. 9 shows the result of
the experimental procedure of one of these
beams. The natural frequency of such beam is
185 rpm.
This beam has the following
= 210
/
specification: Young's modulus:
, Width = 12.5
, height ℎ = 6
,
length = 1048
. Thus, its natural frequency
from the theoretical calculations is 200 rpm.
Therefore,
such
instrumentation
has
a
trustworthy result and it could be used for further
experiments.
The absorber has the following specification:
= 210
/
and the width = 25
, the
. The
length = 590
and height ℎ = 3.4
beam is fixed at the middle; hence it acts as dual
r. Therefore, the stiffness constant of
cantilever.
single one is:
=
(
To check the calculated mass of the shock
absorber in Equation 4, the minimum amplitude
should have occurred at the natural frequency of
the system when the shock absorber is installed.
Fig. 8 shows the relationship between the
frequency and amplitude of the system with
shock absorber. From this figure, it is clear that
mum value in the
the amplitude has minimum
frequency range between 280 and 320 rpm.
Therefore, the mass 4.5kg is an appropriate
mass for designing the correct shock absorber.
The test device has been designed to add shock
absorbers if needed, to design the shock
absorber properly as shown in Fig. 2-b.
2
The
natural frequency of the system with shock
absorber should be equal or close to the natural
frequency of the system without the shock
absorber (Fig. 2-b,a).
=
=
(3)
The total stiffness of the shock absorber is
] = 4.018 /
= 2 ∗ [2.009 /
=
Fig. 7. Spe
Speed vs amplitude for single beam
48
Elderrat et al.; JERR, 15(2): 43-50, 2020;; Article no.JERR.59516
no.
Fig. 8. Speed vs amplitude for a beam with shock absorber
Fig.
Fig 9. The result of the new beam
6. CONCLUSION
be designed. The recorded results from the
established system have proved and validated
with the calculated theoretical results. Thus, the
unit is ready to conduct laboratory experiments
on the concept of mechanical vibration.
The measurement system is an essential activity
in the vibrating and structures dynamics to avoid
failure of breakdown. In this study, the main
objective was to establish a vibration
measurement system for laboratory vibration
unit.
The
vibration
measurement
measureme
was
successively
achieved
by
using
virtual
instrumentation system. Such system consists of:
LVTD sensor, Arduino microcontroller, Arduino
IDE program and LabVIEW software.
The
established measurement system is able to
precisely calculate the amplitude of the vibrating
beam, so the natural frequency of the system
could be determined. Also shock absorber could
COMPETING INTERESTS
Authors have
interests exist.
declared
that
no
competing
REFERENCES
1.
49
Collacott R. Mechanical fault diagnosis and
condition monitoring springer science &
business media; 2012.
Elderrat et al.; JERR, 15(2): 43-50, 2020; Article no.JERR.59516
2.
3.
4.
5.
6.
Childs PRN. Advances in temperature
measurement Advances in heat transfer,
Elsevier. 2003;36:111-81.
Sanjida
N,
Rokunuzzaman
Md,
Samarjith B. Assessment of surface
roughness using LVDT Int. Conf. on
mechanical, industrial and materials eng.
2017;391:1-6.
Muhammad UK, Umar S. Sensitivity
determination of Linear variable differential
transducer (LVDT) in fluid level detection
techniques. International Journal of
Modern Engineering Sciences, 2013;2(2):
73-83.
Joshi S, Harle SM. Linear variable
differential transducer (lvdt) & its
applications
in
civil
engineering.
International Journal of Transportation
Engineering and Technology, 2017;3(4):
62-66.
Masi A, Danisi A, Losito R, Martino M,
Spiezia G. Study of magnetic interference
on an LVDT: FEM modeling and
experimental measurements. Journal of
Sensors. 2011;9.
7.
8.
9.
10.
11.
12.
13.
Xu YL, Guo WH, Effects of bridge motion
and crosswind on ride comfort of road
vehicles. Journal of Wind Engineering and
Industrial Aerodynamics, 2004;92(7-8):
641-62.
Elderrat Haithem.Study of a novel material
solution for vibration isolation. PhD thesis,
Cardiff University; 2016.
Alzughaibi A, Xue Y, Grosvenor R. A new
insight into modelling passive suspension
real test rig system with consideration of
nonlinear friction forces Proceedings of the
Institution of Mechanical Engineers, Part
D. Journal of Automobile Engineering,
2018;09544070-18764942.
Bolton W. instrumentation and control
systems (newnes) elsevier; 2015.
Sumathi S, Surekha P, LabVIEW Based
advanced
instrumentation
system.
Springer, Berlin. 2007;723.
Boyes W. ed. Instrumentation reference
book (Butterworth-Heinemann); 2009.
Rao
SS,
Yap
FF,
mechanical
vibrations pearson
education,
inc.
Publishing as Prentice Hall, USA. 2011:4.
© 2020 Elderrat et al.; This is an Open Access article distributed under the terms of the Creative Commons Attribution License
(http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium,
provided the original work is properly cited.
Peer-review history:
The peer review history for this paper can be accessed here:
http://www.sdiarticle4.com/review-history/59516
50