vibration analysis on polyurethane matrix hybrid nano
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Vibration Analysis On Polyurethane Matrix Hybrid
Nano Composites
Anbazhagan R1, G. Rekka2, R. Kalidoss3, 1Associate Professor, Department of Mechanical Engineering, Vel Tech High Tech
Dr.Rangarajan Dr.Sakunthala Engineering college, Avadi- 600 062, Tamil Nadu, India. 2Assistant Professor, Shri Krishna College of Engineering and Technology, Puducherry, 3 Lecturer, Thiru A.Govindhasamy Government Arts and Science College, Tindivanam.
Email: luckyanbu@gmail.com
Abstract
Vibration properties of Polyurethane matrix composites have tested by modeling
and FEA results for identifying the optimum composition of the additive particles
percentage with Polyurethane matrix. The properties to be identified for three samples
obtained from varying percentage of Molybdenum disulphide particles such as 7%, 10%
& 20 % of Polyurethane blended with the Tetrahydrafuron solvent. The next three
samples have been synthesized and tested by adding 0.5%, 1% & 1.5% of Titanium
dioxide nano particles with 7%, 10% & 20% of Molybdenum disulphide particles in the
Polyurethane Matrix Hybrid Composites. Finite Element Analysis, a model has designed
for all the six samples with and without Titanium dioxide nano particles in Polyurethane
matrix hybrid composites by selecting the appropriate element. The natural frequencies
of the sample have been identified for the vibration test and to be applied to specific
application.
Keywords: Polyurethane, Molybdenum disulphide, Nanoparticles, Finite Element
Analysis, Vibration.
1. Introduction
Polyurethane coatings have excellent surface shine, flexibility, hardness and
chemical resistance. Because of so many advantages, Polyurethane coatings are the
leader in coating such as, automotive refinishes chemical agent resistant coatings and
aircraft industries (Xia & Song, 2005). Usually, polyurethane is poor abrasive wear-
resistance materials. In order to improve tribological and mechanical performance of
their polyurethane-based material, the traditional concepts are used to reduce the
counterpart material adhesion and to improve their stiffness, hardness, and compressive
strength. For decreasing adhesion, PTFE and graphite flakes are incorporated as
lubricants (Song & Zhang 2010). For fabrication of the abrasion-resistant polyurethane
composites, nanoparticles are considered (Zhang, 2006). During frictional sliding and
greater surface area will give to improve the tribological performance, less abrasive
action is needed (Chang et al., 2002).
With fast development, nanoparticles having different physical or chemical properties
of any size, structure, shape, and surface functional group can be synthesized (Li et al.,
2009). Due to surface area, properties of nanoparticles are different from the bulk
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materials, but display some distinct properties that depend on their shape, size and so
forth (Akbulut et al., 2006). For example, nanoparticles having reduced transition
pressures, melting points and stiffness (Chen et al., 2007).
2. Methodology
Using ANSYS software, the Finite Element Analysis has to be done on each sample. For
Finite Element Analysis, a model has designed for all the six samples with and without
Titanium dioxide nano particles in Polyurethane matrix hybrid composites by selecting
the appropriate element. The Properties of the composites has been calculated by using
the Rule of Mixtures and then entered for analyzing, according to the required sample.
The Boundary condition has been applied according to vibration test. The load has been
applied on the specific nodes by knowing the type of test to be conducted on the model.
Obtain the output as natural frequency images having maximum and minimum values of
the plotted result.
3. Results and Discussions
In this chapter ANSYS software package are using for the results given below,
the procedure to obtained the results on ANSYS given on the chapter 4. Natural
frequencies obtained from ANSYS are listed in tables. And mode shapes are presented
for different compositions. Here in this chapter 6 different compositions are taken for the
analysis of natural frequencies and mode shapes of the composite beam, as shown below.
3.1 Compositions for Analysis
For Sample-1
Polyurethane + (7% of PU)Molybdenum Disulphide
For Sample-2
Polyurethane + (10% of PU)Molybdenum Disulphide
For Sample-3
Polyurethane + (20% of PU)Molybdenum Disulphide
For Sample-4
Polyurethane + (7% of PU)Molybdenum Disulphide + (0.5% of
PU) Titanium Dioxide
For Sample-5
Polyurethane + (7% of PU)Molybdenum Disulphide + (1% of
PU)Titanium Dioxide
For Sample-6
Polyurethane + (7% of PU)Molybdenum Disulphide + (1.5% of
PU) Titanium Dioxide
By applying the rule of mixing,the composite beam is considered as isotropic
and having homogenous properties.The properties of different samples after applying
rule of mixture is shown in the table below.
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Table 1 Properties of composite beams.
Properties Units Sample
1
Sample
2
Sample
3
Sample
4
Sample
5
Sample
6
Density Kg/m³ 1246 1296.5 1373.7 1250 1305 1385
Poisson’s
ratio - 0.498 0.495 0.492 0.497 0.494 0.49
Young’s
modulus N/mm² 4300 6680 14200 4700 7500 15255
The geometrical characteristics, the length (L), thickness (H) and width (B) of the
composite beam, are taken as 50 mm,5 mm and 5 mm respectively.
3.2 Modal Analysis Results
Modal analysis is used to find the natural frequency and mode shapes of different
compositions. The composition having least natural frequency is the best to withstand
under vibration condition
Sample 1
Natural frequencies obtained for sample 1 composite beam are given as
Figure 1. Natural frequency of sample 1
Composition 1 having least natural frequency at mode 1 and highest natural
frequency at mode 5. The mode shape of composition 1 are shown bellow
First to fifth mode shape of sample 1 composite beam are shown in fig.
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Figure 2. First mode shape of sample 1
Figure 3. Second mode shape of sample 1
Figure 4. Third mode shape of sample 1
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Figure 5. Fourth mode shape of sample 1
Figure 6. Fifth mode shape of sample 1
The natural frequencies in different modes for different compositions are
tabulated as below,
Table 2 Table of modal analysis results
MODE
NATURAL FREQUENCY
COMPOSIT
ION 1
COMPOSIT
ION 2
COMPOSIT
ION 3
COMPOSIT
ION 4
COMPOSIT
ION 5
COMPOSIT
ION 6
1
22.803
27.859
39.454
23.801
29.421
40.723
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2
22.803
27.859
39.454
23.801
29.421
40.723
3
139.32
170.21
241.08
145.42
179.77
248.84
4
139.32
170.21
241.08
145.42
179.77
248.84
5
156.49
191.39
271.36
163.39
202.20
280.29
From the tabular column it is clearly visible that the composition 1 and
composition 4 having the lowest value of natural frequency and composition 3 and 6
having the highest value.
Graph is plotted for comparing the natural frequencies of different
compositions by taking mode number in X axis and natural frequency in Y axis
Figure 7. Graphical representation of modal analysis results.
In this graph, the composition 1 and composition 4 shows the lowest
natural frequency than other compositions. So those compositions are more preferable
based on modal analysis.
3.3 Transient Analysis Results
Transient dynamic analysis also called as time history analysis, is a technique
used to determine the dynamic response of a structure under the action of any general
time-dependent loads. Here we are analyzing the six compositions under transient
vibration condition.
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Sample 1
Figure 8.Transient analysis result of sample 1
Sample 2
Figure 9. Transient analysis result of sample 2
Sample 3
Figure 10. Transient analysis result of sample 3
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Sample 4
Figure 11. Transient analysis result of sample 4
Sample 5
Figure 12. Transient analysis result of sample 5
Sample 6
Figure 13. Transient analysis result of sample 6
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The value of amplitude of vibration and no.of cycle obtained from the graph are
tabulated in table below,
Table 3 Transient analysis result
Composition Max. Amplitude No. of Cycles In
Unit Time
Composition
1 1.8 23 1
2 1.3 27 2
3 0.9 39 3
4 1.7 22 4
5 1.3 29 5
6 0.85 40 6
The result of transient analysis is represented graphically. The composition number is
taken in X axis and amplitude of vibration and no. of cycles in Y axis.
Figure 14. Graphical representation of amplitude
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Figure 15. Graphical representation of no. of cycles
From the graph composition 4 having less no of cycles in unit time and
high amplitude. So it is the best composition under transient vibration condition.
CONCLUSION
Based on model analysis composition 6 have highest natural frequency and
composition 1&4 have least natural frequency. Material have lowest natural frequency is
suitable for high speed engineering applications. So composition 1&4 are preferable.
Based on transient analysis composition 4 having the least no of cycles of
vibration in unit time and composition 6 having the highest value. So composition 4 is
the best according to transient analysis
From the modal & transient analysis composition 4 shows the best result. So
composition 4 is most preferable for high speed engineering applications.
By increasing the percentage of MoS2 in PU the natural frequency increasing and
TiO2 & MoS2 in PU the natural frequency increases gradually. But in a certain
percentage of TiO2 & MoS2 in PU giving the least natural frequency and good transient
response. So PU with 7% of MoS2 & .5% of TiO2 is the best constitutional percentage.
References [1] Xia, HS and Song, M 2005, ‘Preparation and characterization of polyurethane–
carbon nanotube composites’, Soft Matter, vol.1, pp.386-394.
[2] 135. Song, HJ, Zhang, ZZ, Men, XH and Luo, ZZ 2010, ‘A study of the
tribological behavior of nano-ZnO-filled polyurethane composite coatings’,
Wear, vol. 269, pp. 79-85.
[3] Zhang, K, Zheng, LL, Zhang, XH, Chen, X and Yang, B 2006, ‘Silica-PMMA
core-shell and hollow nanospheres’, Colloid Surface A,vol. 277, pp. 145-150.
Tierärztliche Praxis
ISSN: 0303-6286
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[4] Chang, JH and An, YU 2002, ‘Nanocomposites of polyurethane with various
organoclays: Thermo mechanical properties, morphology, and gas permeability’,
Journal Of Polymer Science Part B-Polymer Physics, vol. 40, no.7, pp. 670-677.
[5] 78. Li, JH, Honga, RY, Li, MY, Li, HZ, Zheng, Y and Dinge, J 2009, ‘Effects
of ZnO nanoparticles on the mechanical and antibacterial properties of
polyurethane coatings’, Progress in Organic Coatings, vol. 64, pp. 504-509.
[6] Chen, J, Zhou, Y, Nan, Q, Sun, Y, Ye, X and Wang, Z 2007, ‘Synthesis,
characterization and infrared emissivity study of polyurethane/TiO2
nanocomposites’, Applied Surface Science, vol. 253, pp. 9154-9158.
[7] Amitesh PG student, V. C. Kale and K. V. Chandratre,” A comparative
evaluation of spring rate of cylindrical and conical helical compression spring
made of ASTM A227 material”, International Engineering Research Journal,
(2016), pp.228-240.
[8] Luis carral, Jose angel fraguela and Jose de troya alvarez feal,” Influence of the
towline material: Steel or high modulus polyethylene on towing gear design &
tug deck fittings”, Sage journal, (2015), pp.57-69.
[9] C L Petracconi,” Fatigue life simulation of rear tow hook assembly of a
passenger car”, IJSRD - International Journal for Scientific Research &
Development, (2015), pp.88-100.
[10] Elsevier B.V,” Redesign & manufacturing of metal towing hook via laser additive
manufacturing with powder bed”, IJSRD - International Journal for Scientific
Research & Development, (2017), pp.851-862.
[11] Ahmed Ibrahim Razooqi, Hani Aziz Ameen and Kadhim Mijbel Mashloosh,
“Compression and impact characterization of helical and slotted cylinder
springs”, IJSRD - International Journal for Scientific Research & Development,
(2016), pp.155-167.
[12] Juan Wanga,b and ShuLiua,” Dynamics shakedown analysis of slab track sub
structures with reference to critical speed”, IJSRD - International Journal for
Scientific Research & Development, (2018), pp.420-432 .
[13] Amir M. Kayniaa and Joonsang Parka,” Effect of track defects on vibration from
high speed train”, IJSRD - International Journal for Scientific Research &
Development, (2017), pp.163-173.
[14] G Prithviraj and Ganesha B,” Assessment of train speed impact on the
mechanical behavior of tool materials”, IJSRD - International Journal for
Scientific Research & Development, (2016), pp. 154-165.
[15] David A. Ehrhardt and Thomas L. Hill (2018)”, Veering and nonlinear
interactions of a tow hook in bending and torsion”, IJSRD-International Journal
for Scientific Research & Development, pages 45-55.
[16] Anbazhagan, R & Rajamani, GP 2014, ‘Modeling and Analysis of Impact
Properties on Polyurethane Composites using FEA’, International Journal of
Chem Tech Research, vol. 6, no.1, pp. 114-123.
[17] Anbazhagan, R & Rajamani, GP 2014, ‘Fabrication, Modeling and Impact
Analysis of Polyurethane matrix composites’ International Journal of Applied
Engineering Research, vol. 9, no.22, pp.16837-16848.
[18] R.Anbazhagan, G.P.Rajamani, K.Arumugam, V.Sathiyamoorthy, R. Suresh
(2017), “A Critical Review on Polyurethane Polymer Hybrid Nano Composites”,
Journal of Advances in Chemistry, Vol.13, Issue-6, pp.6236-6242.
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