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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 03 | Mar-2016, Available @ http://www.ijret.org 120
MODAL ANALYSIS OF HYBRID SISAL/JUTE NATURAL FIBER
POLYMER COMPOSITE BEAM
Madhu Vani. A1
, Maheeja. B2
, Pratheep Reddy.T3
1
Student, Mechanical Engineering, S.V.C.E, Tirupati, Andhra Pradesh, India
2
Student, Mechanical Engineering, S.V.C.E, Tirupati, Andhra Pradesh, India
3
Assistant Professor, Mechanical Engineering, S.V.C.E, Tirupati, Andhra Pradesh, India
Abstract
In the last decades the composites have been widely used in the construction, automobile and aerospace industries. Among them,
Natural fiber composites are emerging as low cost, lightweight and superior alternatives to synthetic fiber composites. This study
related to the development of bio-degradable composites using Epoxy resin and Sisal/Jute fibers. The fibers are chemically
treated at different percentages of NaOH i.e.,3%, 6% and 9%. Tensile and flexural strength of the composites were determined
using UTM. The natural frequencies of the cantilever composite beam were determined analytically using Euler’s theory and
numerically using Ansys 15.0. From the results, the results agree close to each other.
Keywords: Sisal Fiber, Jute Fiber, Alkali Treatment, Modal Analysis.
--------------------------------------------------------------------***----------------------------------------------------------------------
1. INTRODUCTION
Natural ïŹber composites are alternatives to synthetic ïŹber
reinforced composites, since the former ïŹbers possess many
advantages, such as high speciïŹc strength, low cost, low
density, biodegradability, renewability, good thermal and
acoustic insulating properties. From the past decade jute,
sisal, coir, kenaf, banana, hemp, palmyra, ïŹ‚ax etc., natural
fibers are used as reinforcement in polymer composites for
various engineering applications.
For the past decade, enormous work has been carried out on
the characterization of the mechanical and physical
properties of natural fiber reinforced polymer matrix
composites in the form of short fibers, random distribution
and single reinforcement by varying the weight percentage
of reinforcement and different chemical treatment of fibers.
Sardar et.al. [1] Investigated the Tensile Test on Sisal Fiber
Reinforced Polyster Composite Material, by varying the
weight percentage of fiber i.e., 15, 25, 35 and 45% and
results shows that improvement in tensile properties of 15%,
25%, 35% and 45% by increasing the percentage of fiber.
Karthikeyan et.al. [2] studied the impact behavior of coir
reinforced epoxy composite treated with alkali. In this study,
coir fibers treated with NaOH of 2, 4, 6, 8 and 10% for 10
days. For each group of fiber, coir length was 10, 20 and 30
mm. from the study, it is observed that, alkali treated
specimens showed an improvement in impact strength of
15% compared with untreated fiber. Rokbi et al. [3] have
studied the flexural properties of Alfa fiber reinforced
composites by the influence of alkalization, and observed
alkali treated fibers exhibits better properties compared to
the untreated fiber composite.
Siddika et al. [4] studied the mechanical behavior of Hybrid
Jute-Coir Fiber Reinforced Composites at 5, 10, 15 and 20
wt % fiber loading. 1:1 ratio of fibers are utilized during
composite manufacturing. Mechanical properties were
evaluated using ASTM standards. The study presents that
tensile strength and Young’s modulus of the composites
were decreased and increased respectively with an increase
in fiber loading. Hardness, Flexural and impact properties
were increased with an increase in fiber loading. 20% fiber
composite yielded the best set of mechanical properties
compared to other composites.
Ravi et al, [5] studied Mechanical Characterization of
Banana/Sisal Fiber Reinforced Hybrid Composites for
Structural Application. In this study, the composites are
prepared with untreated and akali treated fibers by varying
the weight percentage of fibers. The study shows that tensile
properties of the treated fiber were higher than those of
untreated fiber reinforced composites. It is believed that the
fiber treatment improved the interfacial interaction, thus
resulting in good strength and stiffness of the biocomposites
materials. Dixit et al. [6] studied the Mechanical Behaviour
of Hybrid Coir/Sisal/Jute reinforced polyester composite,
and observed that the properties of hybrid composites are
better than unhybrid composites.
Structures will vibrate in the excessive oscillatory motion.
because of interaction between the inertial and elastic
properties of the materials within a structure is called
resonance. Reducing vibration is a primary task in design
process. The resonant amplitude of vibration is signiïŹcantly
inïŹ‚uenced by damping which is more in ïŹber reinforced
composite structures than metal structures due to the
viscoelastic behavior.
From the literature survey, it is observed that the Jute and
sisal fiber reinforced composites shows better mechanical
properties by varying the weight percentages of fibers, and
also the alkali treatment of fibers shows better results
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 03 | Mar-2016, Available @ http://www.ijret.org 121
compared to the untreated fibers. Hybrid reinforced
composites shows a great change in the properties of the
composites. From the literature survey, it is observed that
most of the work has been done on discontinuous and short
form of fibers in discontinuous orientation. Very few work
has been carried out in woven form of reinforcement, and
also very few work has been carried out on vibrational
characteristics of natural fiber reinforced composites.
2. MATERIALS AND METHODS
2. 1 Selection of Matrix And Reinforcement
The Literature survey presents that very limited work has
been done on Hybrid Sisal/Jute woven natural fiber
composite. Epoxy resin LY 556 and Hardener HY951 were
used in this study and procured from Zenith Industrial
supplies, Bangalore. The Jute/Sisal fiber used in this study
procured from Shiva exports, Tirunelveli, Tamilnadu.
2.2 Method Of Preparation:
Initially, the Jute/Sisal ïŹbers is to be treated with different
percentages i.e., 3%, 6% and 9% of NaOH solution with
distilled water in a glass jar for 3 days, and then the treated
fibers are to be washed with distilled water. Again, fibers
were washed with dilute HCL to remove alkali particles and
then with water. Finally these fibers were washed with
distilled water until the fibers were alkali free. The alkali
treated Sisal/jute fibers are weaved in the form of long
strands. Hand layup technique is adopted in this study to
prepare the composite.
First, for quick and easy removal of composite, mold release
plastic sheet was put over the glass plate and wax was
applied at the inner surface of the mold. Calculated amount
of Epoxy resin and Hardener (ratio of 10:1 by weight) was
thoroughly mixed in a glass beaker, and pour in a wooden
mold. Then the woven fiber mat was distributed on the
mixture. Then again resin was applied over the fiber mat to
get the desired thickness. Another releasing plastic sheet is
spread over and then pressed and pushed down with an iron
roller to avoid and eliminate any air bubble. Precautions
were taken to avoid formation of air bubbles.
Fig-1: Sisal/Jute Hybid Composite
2.3 Properties of the Composite
The densities of the composite were investigated
experimentally by the Archimedean’s principle Tensile and
ïŹ‚exural tests were carried out in an Instron (Series3382)
testing machine according to ASTM: D3039-08 and ASTM
D7264, respectively. An average of 3 specimens were used
in each test.
3. MODAL ANALYSIS:
Modal analysis is one of the procedures determining the
existent dynamic characteristic of a system in form of
natural frequency, damping factors and mode shapes
3.1 Analytical:
The natural frequencies of the cantilever beam is calculated
using Euler Bernoulli equation as given below.
Where fn = natural frequency (Hz), E = Youngs modulus
(GPa), A = cross sectional Area (m2
) ïČ = Density of the
material (kg/m3
), l = length of the beam (m), ïąn = constants
for mode.
The dimensions of the cantilever beam used in this study is
as follows: Length = 0.15 m, Breadth = 0.01 m, Depth =
0.002 m.
3.2 Numerical Analysis:
Finite element method is a numerical method which has
solves the problems in various fields, like solid mechanics,
fluid mechanics and heat transfer with approximate
solutions. ANSYS 15.0 used in the present study for
numerical study.
Assumptions made for the present analysis were
 Perfect bonding between fibers and matrix
 The composite lamina is free of voids and other
irregularities
 The load is within the linear elastic limit
3.2.1 Element Type
The element SOLID186 used for the present study The
element has 20 nodes having one degree of freedom i.e.
temperature and with three degrees of freedom at each node:
translation in the node x, y and z directions respectively.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 03 | Mar-2016, Available @ http://www.ijret.org 122
Fig -2: Element Solid 186
3.2.2 Boundary Conditions
For Cantilever Beam, the following symmetric boundary
conditions are used. At x = 0, Ux = 0, At y = 0, Uy = 0, At z
= 0, Uz = 0.
4. RESULTS AND DISCUSSION:
Table -1: Density of the composites
S. No Specimen Density (kg/m3
)
Untreated 1300
Resin + 3% TF 1290
Resin + 6% TF 1270
Resin + 9% TF 1240
Table – 2: Tensile properties of the composites
S. No Specimen
Tensile
strength
(Mpa)
Tensile
Modulus
(Gpa)
Untreated 82.5 0.54
Resin + 3% TF 86 1.23
Resin + 6% TF 89.5 1.89
Resin + 9% TF 97.5 2.62
Table – 3: Flexural strength of the composites
S. No Specimen Flexural strength (Mpa)
Untreated 32
Resin + 3% TF 38
Resin + 6% TF 42
Resin + 9% TF 46
From the above all results, it is observed that increase in
percentage of alkali treatment improves the mechanical
properties and natural frequencies of the composites, the
reason for this is increase in alkali removes moisture from
the fiber which improves the intermolecular hydrogen
bonding between cellulose molecules in the fiber and water
molecules, increases the interfacial adhesion between the
fiber and the matrix.
Table – 4: Natural Frequencies of the composites
S.
No
Specimen
Analytical
(Hz)
Numerical
(Hz)
Untreated 9.253 9.2891
Resin + 3% TF 14.020 14.0737
Resin + 6% TF 17.515 17.5824
Resin + 9% TF 20.870 20.9503
From the above results, it is observed that the natural
frequencies of the composites increased by increase in the
percentage of alkali treatment of fiber. There is a close
agreement between the analytical and numerical solitions.
Fig -2: Natural Frequency of untreated fiber
Fig – 3:Natural Frequency of 3% alkali treated fiber
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 03 | Mar-2016, Available @ http://www.ijret.org 123
Fig -4: Natural Frequency of 6% alkali treated fiber
Fig -5: Natural Frequency of 9% alkali treated fiber
CONCLUSIONS
 The alkali treated Sisal/jute natural fibers improved the
properties of the fiber.
 Hybrid Composites were prepared successfully without
any voids by hand layup process.
 From the study, the density of the composites decreases
by increasing in the percentage of alkali treatment, the
tensile strength and flexural strength of the composites
increases by increasing in the percentage of alkali
treatment.
 Bonding between the fiber and the resin improved by
the removal of moisture.
 The natural frequency of the composites were
determined using analytical and numerical approach.
The results of the analytical and numerical agrees close
to each other.
REFERENCES:
[1]. Kotresh sardar, K. Veeresh , T. Rangaswamy, Nandini
V R, “Characterization and Investigation of Tensile
Test on Sisal Fiber Reinforced Polyster Composite
Material”, International Journal of Recent
Development in Engineering and Technology, 3(4),
2014, 84 – 89.
[2]. Karthikeyan A, Bala Murugan K , “Effect of Alkali
Treatment and fiber length on impact behavior of coir
fiber reinforced epoxy composites, Journal f Scientific
& Industrial Research, 71, 2012, 627 – 631.
[3]. Mansour Rokbia, Hocine Osmania, Abdellatif Imadc ,
Noureddine Benseddiqd, “Effect of Chemical
treatment on Flexure Properties of Natural Fiber-
reinforced Polyester Composite”, Procedia
Engineering 10 (2011) 2092–2097.
[4]. Salma Siddika, Fayeka Mansura, Mahbub Hasan
“Physico-Mechanical Properties of Jute-Coir Fiber
Reinforced Hybrid Polypropylene Composites”
International Scholarly and Scientific Research &
Innovation 7(1), (2013), 60 -64.
[5]. Ravi Ranjan, P K Bajpai, & R K Tyagi, “Mechanical
Characterization of Banana/Sisal Fibre Reinforced
PLA Hybrid Composites for Structural Application”,
Engineering International, 1(1), 2013, 39 – 49.
[6]. Dixit S. Verma P. “The Effect of Hybridization on
Mechanical Behaviour of Coir/Sisal/Jute Fibres
Reinforced Polyester Composite Material”, Research
Journal of Chemical Sciences, 2(6), June 2012, 91-93.
[7]. A Textbook on Mechanical Vibrations, V.P.Singh,
Dhanpat Rai & Co.
[8]. ANSYS Mechanical APDL Element Reference.

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Modal analysis of hybrid sisaljute natural fiber polymer composite beam

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 03 | Mar-2016, Available @ http://www.ijret.org 120 MODAL ANALYSIS OF HYBRID SISAL/JUTE NATURAL FIBER POLYMER COMPOSITE BEAM Madhu Vani. A1 , Maheeja. B2 , Pratheep Reddy.T3 1 Student, Mechanical Engineering, S.V.C.E, Tirupati, Andhra Pradesh, India 2 Student, Mechanical Engineering, S.V.C.E, Tirupati, Andhra Pradesh, India 3 Assistant Professor, Mechanical Engineering, S.V.C.E, Tirupati, Andhra Pradesh, India Abstract In the last decades the composites have been widely used in the construction, automobile and aerospace industries. Among them, Natural fiber composites are emerging as low cost, lightweight and superior alternatives to synthetic fiber composites. This study related to the development of bio-degradable composites using Epoxy resin and Sisal/Jute fibers. The fibers are chemically treated at different percentages of NaOH i.e.,3%, 6% and 9%. Tensile and flexural strength of the composites were determined using UTM. The natural frequencies of the cantilever composite beam were determined analytically using Euler’s theory and numerically using Ansys 15.0. From the results, the results agree close to each other. Keywords: Sisal Fiber, Jute Fiber, Alkali Treatment, Modal Analysis. --------------------------------------------------------------------***---------------------------------------------------------------------- 1. INTRODUCTION Natural ïŹber composites are alternatives to synthetic ïŹber reinforced composites, since the former ïŹbers possess many advantages, such as high speciïŹc strength, low cost, low density, biodegradability, renewability, good thermal and acoustic insulating properties. From the past decade jute, sisal, coir, kenaf, banana, hemp, palmyra, ïŹ‚ax etc., natural fibers are used as reinforcement in polymer composites for various engineering applications. For the past decade, enormous work has been carried out on the characterization of the mechanical and physical properties of natural fiber reinforced polymer matrix composites in the form of short fibers, random distribution and single reinforcement by varying the weight percentage of reinforcement and different chemical treatment of fibers. Sardar et.al. [1] Investigated the Tensile Test on Sisal Fiber Reinforced Polyster Composite Material, by varying the weight percentage of fiber i.e., 15, 25, 35 and 45% and results shows that improvement in tensile properties of 15%, 25%, 35% and 45% by increasing the percentage of fiber. Karthikeyan et.al. [2] studied the impact behavior of coir reinforced epoxy composite treated with alkali. In this study, coir fibers treated with NaOH of 2, 4, 6, 8 and 10% for 10 days. For each group of fiber, coir length was 10, 20 and 30 mm. from the study, it is observed that, alkali treated specimens showed an improvement in impact strength of 15% compared with untreated fiber. Rokbi et al. [3] have studied the flexural properties of Alfa fiber reinforced composites by the influence of alkalization, and observed alkali treated fibers exhibits better properties compared to the untreated fiber composite. Siddika et al. [4] studied the mechanical behavior of Hybrid Jute-Coir Fiber Reinforced Composites at 5, 10, 15 and 20 wt % fiber loading. 1:1 ratio of fibers are utilized during composite manufacturing. Mechanical properties were evaluated using ASTM standards. The study presents that tensile strength and Young’s modulus of the composites were decreased and increased respectively with an increase in fiber loading. Hardness, Flexural and impact properties were increased with an increase in fiber loading. 20% fiber composite yielded the best set of mechanical properties compared to other composites. Ravi et al, [5] studied Mechanical Characterization of Banana/Sisal Fiber Reinforced Hybrid Composites for Structural Application. In this study, the composites are prepared with untreated and akali treated fibers by varying the weight percentage of fibers. The study shows that tensile properties of the treated fiber were higher than those of untreated fiber reinforced composites. It is believed that the fiber treatment improved the interfacial interaction, thus resulting in good strength and stiffness of the biocomposites materials. Dixit et al. [6] studied the Mechanical Behaviour of Hybrid Coir/Sisal/Jute reinforced polyester composite, and observed that the properties of hybrid composites are better than unhybrid composites. Structures will vibrate in the excessive oscillatory motion. because of interaction between the inertial and elastic properties of the materials within a structure is called resonance. Reducing vibration is a primary task in design process. The resonant amplitude of vibration is signiïŹcantly inïŹ‚uenced by damping which is more in ïŹber reinforced composite structures than metal structures due to the viscoelastic behavior. From the literature survey, it is observed that the Jute and sisal fiber reinforced composites shows better mechanical properties by varying the weight percentages of fibers, and also the alkali treatment of fibers shows better results
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 03 | Mar-2016, Available @ http://www.ijret.org 121 compared to the untreated fibers. Hybrid reinforced composites shows a great change in the properties of the composites. From the literature survey, it is observed that most of the work has been done on discontinuous and short form of fibers in discontinuous orientation. Very few work has been carried out in woven form of reinforcement, and also very few work has been carried out on vibrational characteristics of natural fiber reinforced composites. 2. MATERIALS AND METHODS 2. 1 Selection of Matrix And Reinforcement The Literature survey presents that very limited work has been done on Hybrid Sisal/Jute woven natural fiber composite. Epoxy resin LY 556 and Hardener HY951 were used in this study and procured from Zenith Industrial supplies, Bangalore. The Jute/Sisal fiber used in this study procured from Shiva exports, Tirunelveli, Tamilnadu. 2.2 Method Of Preparation: Initially, the Jute/Sisal ïŹbers is to be treated with different percentages i.e., 3%, 6% and 9% of NaOH solution with distilled water in a glass jar for 3 days, and then the treated fibers are to be washed with distilled water. Again, fibers were washed with dilute HCL to remove alkali particles and then with water. Finally these fibers were washed with distilled water until the fibers were alkali free. The alkali treated Sisal/jute fibers are weaved in the form of long strands. Hand layup technique is adopted in this study to prepare the composite. First, for quick and easy removal of composite, mold release plastic sheet was put over the glass plate and wax was applied at the inner surface of the mold. Calculated amount of Epoxy resin and Hardener (ratio of 10:1 by weight) was thoroughly mixed in a glass beaker, and pour in a wooden mold. Then the woven fiber mat was distributed on the mixture. Then again resin was applied over the fiber mat to get the desired thickness. Another releasing plastic sheet is spread over and then pressed and pushed down with an iron roller to avoid and eliminate any air bubble. Precautions were taken to avoid formation of air bubbles. Fig-1: Sisal/Jute Hybid Composite 2.3 Properties of the Composite The densities of the composite were investigated experimentally by the Archimedean’s principle Tensile and ïŹ‚exural tests were carried out in an Instron (Series3382) testing machine according to ASTM: D3039-08 and ASTM D7264, respectively. An average of 3 specimens were used in each test. 3. MODAL ANALYSIS: Modal analysis is one of the procedures determining the existent dynamic characteristic of a system in form of natural frequency, damping factors and mode shapes 3.1 Analytical: The natural frequencies of the cantilever beam is calculated using Euler Bernoulli equation as given below. Where fn = natural frequency (Hz), E = Youngs modulus (GPa), A = cross sectional Area (m2 ) ïČ = Density of the material (kg/m3 ), l = length of the beam (m), ïąn = constants for mode. The dimensions of the cantilever beam used in this study is as follows: Length = 0.15 m, Breadth = 0.01 m, Depth = 0.002 m. 3.2 Numerical Analysis: Finite element method is a numerical method which has solves the problems in various fields, like solid mechanics, fluid mechanics and heat transfer with approximate solutions. ANSYS 15.0 used in the present study for numerical study. Assumptions made for the present analysis were  Perfect bonding between fibers and matrix  The composite lamina is free of voids and other irregularities  The load is within the linear elastic limit 3.2.1 Element Type The element SOLID186 used for the present study The element has 20 nodes having one degree of freedom i.e. temperature and with three degrees of freedom at each node: translation in the node x, y and z directions respectively.
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 03 | Mar-2016, Available @ http://www.ijret.org 122 Fig -2: Element Solid 186 3.2.2 Boundary Conditions For Cantilever Beam, the following symmetric boundary conditions are used. At x = 0, Ux = 0, At y = 0, Uy = 0, At z = 0, Uz = 0. 4. RESULTS AND DISCUSSION: Table -1: Density of the composites S. No Specimen Density (kg/m3 ) Untreated 1300 Resin + 3% TF 1290 Resin + 6% TF 1270 Resin + 9% TF 1240 Table – 2: Tensile properties of the composites S. No Specimen Tensile strength (Mpa) Tensile Modulus (Gpa) Untreated 82.5 0.54 Resin + 3% TF 86 1.23 Resin + 6% TF 89.5 1.89 Resin + 9% TF 97.5 2.62 Table – 3: Flexural strength of the composites S. No Specimen Flexural strength (Mpa) Untreated 32 Resin + 3% TF 38 Resin + 6% TF 42 Resin + 9% TF 46 From the above all results, it is observed that increase in percentage of alkali treatment improves the mechanical properties and natural frequencies of the composites, the reason for this is increase in alkali removes moisture from the fiber which improves the intermolecular hydrogen bonding between cellulose molecules in the fiber and water molecules, increases the interfacial adhesion between the fiber and the matrix. Table – 4: Natural Frequencies of the composites S. No Specimen Analytical (Hz) Numerical (Hz) Untreated 9.253 9.2891 Resin + 3% TF 14.020 14.0737 Resin + 6% TF 17.515 17.5824 Resin + 9% TF 20.870 20.9503 From the above results, it is observed that the natural frequencies of the composites increased by increase in the percentage of alkali treatment of fiber. There is a close agreement between the analytical and numerical solitions. Fig -2: Natural Frequency of untreated fiber Fig – 3:Natural Frequency of 3% alkali treated fiber
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 03 | Mar-2016, Available @ http://www.ijret.org 123 Fig -4: Natural Frequency of 6% alkali treated fiber Fig -5: Natural Frequency of 9% alkali treated fiber CONCLUSIONS  The alkali treated Sisal/jute natural fibers improved the properties of the fiber.  Hybrid Composites were prepared successfully without any voids by hand layup process.  From the study, the density of the composites decreases by increasing in the percentage of alkali treatment, the tensile strength and flexural strength of the composites increases by increasing in the percentage of alkali treatment.  Bonding between the fiber and the resin improved by the removal of moisture.  The natural frequency of the composites were determined using analytical and numerical approach. The results of the analytical and numerical agrees close to each other. REFERENCES: [1]. Kotresh sardar, K. Veeresh , T. Rangaswamy, Nandini V R, “Characterization and Investigation of Tensile Test on Sisal Fiber Reinforced Polyster Composite Material”, International Journal of Recent Development in Engineering and Technology, 3(4), 2014, 84 – 89. [2]. Karthikeyan A, Bala Murugan K , “Effect of Alkali Treatment and fiber length on impact behavior of coir fiber reinforced epoxy composites, Journal f Scientific & Industrial Research, 71, 2012, 627 – 631. [3]. Mansour Rokbia, Hocine Osmania, Abdellatif Imadc , Noureddine Benseddiqd, “Effect of Chemical treatment on Flexure Properties of Natural Fiber- reinforced Polyester Composite”, Procedia Engineering 10 (2011) 2092–2097. [4]. Salma Siddika, Fayeka Mansura, Mahbub Hasan “Physico-Mechanical Properties of Jute-Coir Fiber Reinforced Hybrid Polypropylene Composites” International Scholarly and Scientific Research & Innovation 7(1), (2013), 60 -64. [5]. Ravi Ranjan, P K Bajpai, & R K Tyagi, “Mechanical Characterization of Banana/Sisal Fibre Reinforced PLA Hybrid Composites for Structural Application”, Engineering International, 1(1), 2013, 39 – 49. [6]. Dixit S. Verma P. “The Effect of Hybridization on Mechanical Behaviour of Coir/Sisal/Jute Fibres Reinforced Polyester Composite Material”, Research Journal of Chemical Sciences, 2(6), June 2012, 91-93. [7]. A Textbook on Mechanical Vibrations, V.P.Singh, Dhanpat Rai & Co. [8]. ANSYS Mechanical APDL Element Reference.