Static, Free Vibration and Buckling Analysis of Composite Panels; A Review
DOI:
https://doi.org/10.21467/ajgr.9.1.21-45Abstract
A composite material is generally a combination of materials differing in composition or form on a macro scale for the purposes of attaining specific characteristics and properties. The developments in the field of composite materials have granted significant weight reduction in structural design. When compared to metallic materials, composites offer many advantages, especially high strength, stiffness to weight ratio, excellent fatigue properties, and corrosion resistance. Plates, curved panels, the cylindrical shell-shaped forms of models are being broadly used in many structural packages of engineering structure. For design the structure, it is important to know the behaviour of these under static, free vibration, buckling condition. The present paper aims to review the literature on static, free vibration, and buckling analysis of composite flat panel, curved panel, and cylindrical shell. Further, the testing procedure of laminate, design guidelines of laminates and cost estimations with mechanical properties comparison of laminate with metal, CLT (classical lamination theory) basis including thermal and moisture expansion for stiffness evaluation are also summarised in this paper.
Keywords:
Composite, Structural, Aerospace, Static, Free vibration, BucklingDownloads
References
Autar K. Kaw , Mechanics of composite materials ,2nd ed , vol 29 , 2006 by Taylor & Francis Group, LLC
Robert M Jones , Mechanics of composite materials, Second edition by Taylor & Francis Group, LLC
ASTM D 3039/D 3039 N, Standard test method for tensile properties of polymer matrix composite materials.
Nikhil V Nayak “Composite Materials in Aerospace Applications” International Journal of Scientific and Research Publications, vol 4, no 9, Sep2014. pp. 1 – 10.
Maria mrazova “Advanced composite materials of the future in aerospace industry” INCAS BULLETIN, vol 5, no 3, 2013, pp. 139 – 150. DOI: 10.13111/2066-8201.2013.5.3.14
Gourav Gupta et al. “Application and Future of Composite Materials: A Review” International Journal of Innovative Research in Science, Engineering and Technology, vol 5, no 5, May 2016, pp.6907 – 6911. DOI:10.15680/IJIRSET.2016.0505041
https://www.astm.org/Standards/D8066.htm
Prashanth Turla et al. “Interlaminar Shear Strength of Carbon Fiber and Glass Fiber Reinforced Epoxy Matrix Hybrid Composite”,IJREAT, vol 2, no 2, pp:1-4, Apr-May, 2014.
Züleyha Aslan et al. “Characterization of interlaminar shear strength of laminated woven E‐glass/epoxy composites by four point bend shear test”, Polymercomposite, vol 31, no 2, Feb 2010, pp: 359-368. DOI: https://doi.org/10.1002/pc.20819
Haftka R.T et al. “Optimum Design of Laminated Composite Structures”, In: Elements of Structural Optimization. Solid Mechanics and Its Applications, Springer, Dordrecht, vol 1, 1990, pp: 341-384.
F.X. Irisarria et al. “Optimal design of laminated composite structures with ply drops usingstacking sequence tables”, Composite Structures,vol 107, January 2014, pp:559-569. DOI: 10.1016/j.compstruct.2013.08.030
MIL-HDBK-17-3F, “Composite Materials Handbook - Polymer Matrix Composites, Materials Usage, Design, and Analysis” , vol 3, June 2002.
J.A.Bailie et al. “ A summary and review of composite laminate design guidelines” (Technical report NASA No. NAS1-19347), Jun 1997-Oct 1997,pp:1-76.
Alexis Lasseigne, “Optimization of variable-thickness composite structures. Application to a CROR blade”, Materials. UNIVERSITE DE LYON, Jan 2016.
http://www.ist.edu.pk/downloads/amss/lecturers/design-guidelines.pdf
Abdalla MM et al. “Formulation of composite laminate robustness constraint in lamination parameters space”. In: Proceedings of 50th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference. Palm Springs, California; Jun 2012,pp:1-15.DOI: https://doi.org/10.2514/6.2009-2478
Rakesh Vishwakarma et al. “Stress analysis of laminated composite plate using F. E. M” International Journal of Application or Innovation in Engineering & Management, vol 4, no 1, 2015,pp. 107 – 125.
Yenda kesavarao et al.“Stress analysis of laminated graphite/epoxy composite plate using fem” International Journal of Mechanical Engineering, vol 4, no 5, Aug-Sep 2015, pp. 9 – 16.
N. Moubayeda et al. “Static Analysis of an Orthotropic Plate” J.Material Science © Elsevier Ltd, Physics Procedia 55, 2014, pp. 367 – 372. DOI: 10.1016/j.phpro.2014.07.053
Niral R.Patel et al. “A Research Paper on Static Analysis of Laminated Composite Plate” Indian Journal Of Research, vol 3 , no 5, Jun 2013,pp:82-84.
Junaid Kameran Ahmed et al. “ Static and Dynamic Analysis of Composite Laminated Plate ” International Journal of Innovative Technology and Exploring Engineering ,vol 3,no 6,Nov 2013, pp: 56–60. DOI : 10.1.1.674.6951
J. S. Kalyana Rama et al. “Finite Element modeling of an orthotropic laminated plate under cylindrical bending”IOSR Journal of Mechanical and Civil Engineering, vol 3, no 5, Sep-Oct 2012, pp. 35 – 41. DOI: 10.9790/1684-0353541
R. R. Singh et al. “Analysis of stiffened isotropic and composite plate” International Research Journal of Engineering and Technology, vol 03, no 02, Feb 2016, pp. 1 – 7.
Rahul Patwa et al. “Analysis of Cross-ply Laminate composite under UD load based on CLPT by Ansys APDL” Int.Journal of Engineering Research and Applications,vol 5, no 9,Sep 2015 , pp:90-94.
Woraphon Niamnin et al. “Numerical Investigation on Symmetrical Bending of Uniformly Strip Loaded Square Plates with Different Support Conditions” Advanced Studies in Theoretical Physics, vol 9, no 9 , 2015 , pp. 395 – 410. DOI: http://dx.doi.org/10.12988/astp.2015.5452.
G. C. Mekalke et al. “Analysis Of A Plate With A Circular Hole By Fem” IOSR Journal of Mechanical and Civil Engineering, ISSN:2278-1684, 2013, pp:25-30.
Dr. Riyah N.K.et al. “Stress Analysis of Composite Plates with Different Types of Cutouts” Anbar Journal of Engineering Sciences, vol 2, no 1, 2009, pp: 11 – 29.
Victor Debnath et al. “Deflection And Stress Analysis Of A Beam On Different Elements Using Ansys Apdl” International Journal of Mechanical Engineering and Technology, vol 5, no 6, Jun 2014 pp: 70-79.
Vanam B. C. L et al. “Static analysis of an isotropic rectangular plate using finite element analysis (FEA)” Journal of Mechanical Engineering Research, vol 4, no 4 , Apr 2012, pp: 148-16. DOI: 10.5897/JMER11.088
M. L. Pavan Kishore et al. “ Stress analysis of rectangular and square plates with various cutouts” ISSN, vol 22, Oct 2018, pp: 165-169. DOI https://doi.org/10.21595/vp.2018.20311
Sridhara Raju. V.V etal.“Effect of Thickness Ratio on Nonlinear Static behaviour of Skew Bidirectional FRP Laminates with Circular Cutout”International Journal Of Applied Engineering Research, vol 1, no 4, 2011, pp: 923-932.
Dr.Abdul siddique shaik et al. “Stress Concentration of Rectangular Plate with a Hole Made With Composite Material Using Finite Element Analysis” IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), vol 13, no 4, Jul. – Aug 2016, pp: 1-5. DOI: 10.9790/1684-13040740105
Nitin Kumar Jain “Analysis of Stress Concentration and Deflection in Isotropic and Orthotropic Rectangular Plates with Central Circular Hole under Transverse Static Loading” International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, vol 3, no 12, 2009, pp: 1513-1519.
K. Kalita et al. “Static Analysis of Transversely Loaded Isotropic and Orthotropic Plates with Central Cutout”, J. Inst. Eng. India Ser. C, vol 95. no 4, October–December 2014, pp:347–358 . DOI 10.1007/s40032-014-0138-9
Ramindla Praveenet al. “Design, Static Structural and Modal Analysis of Aircraft Wing (Naca 4412) Using Anasys Workbench 14.5” International Journal of Engineering Science Invention, vol 7, no 12, Dec 2018, pp: 61 – 71.
Gururaj.M.Kumbar et al. “Static And Buckling Analysis of Fuselage Panel under Varied Flight Condition’s” International Journal of Engineering Research in Mechanical and Civil Engineering (IJERMCE), vol 2, no 11, 2017, pp:121 – 127.
V. J. K. Silpa et al.“Structural Analysis of Thin Isotropic and Orthotropic Plates using Finite Element Analysis” SSRG International Journal of Mechanical Engineering (SSRG - IJME) , vol 4, no 6 , 2017, pp:13 – 24. DOI:10.14445/23488360/IJME-V4I6P104
Trung Thanh Tran et al. “ Static and free vibration analyses of functionally graded porous variable-thickness plates using an edge-based smoothed finite element method.” Defence Technology, Jun 2020, DOI: https://doi.org/10.1016/j.dt.2020.06.001.
Minh Tu Tran et al.“Static and vibration analysis of cross-ply laminated composite doubly curved shallow shell panels with stiffeners resting on Winkler–Pasternak elastic foundations” Int J Adv Struct Eng ,vol 9, May 2017, pp :153 – 164. DOI : https://doi.org/10.1007/s40091-017-0155-z
Anusha Gampala et al. “Linear Static Analysis of a Curved Shell with Circular Cutout Subjected to Tensile Load Using Finite Element Approach” , International Journal of Engineering Research & Technology , Vol 03 , No 08, Aug 2014, pp:839-843
M. Cinefra et al. “A variable kinematic doubly-curved MITC9 shell element for the analysis of laminated composites” , Mechanics of Advanced Materials and Structures , Oct 2015 , DOI: 10.1080/15376494.2015.1070304
Miss. Priya Dongare et al. “Effect of Fiber Angle Orientation on Stress, Deformation and Buckling Torque of the Composite Drive Shaft” Global Journal of Researches in Engineering Mechanical and Mechanics Engineering ,vol 13 , no 6, Jan 2013, pp: 1-8.
K. Chandrashekhara et al. “Static analysis of a thick laminated circular cylindrical shell subjected to axisymmetric load” Composite Structures Elsevier Science Publishers Ltd,vol 23, 1993 pp:1-9. DOI: https://doi.org/10.1016/0263-8223(93)90068-2
S. Mahmoud Mousavi et al. “Static Bending Analysis Of Laminated Cylindrical Panels With Various Boundary Conditions Using The Differential Cubature Method” , Journal Of Mechanics Of Materials And Structures, Vol. 4, No. 3, Mar 2009,pp:509-521
Leissa A. W. Buckling of Composite Plates, Composite Structures, vol 1,1983, pp: 51-66. DOI: https://doi.org/10.1016/0263-8223(83)90016-8
Dr. P. Ravinder Reddy et al. “Buckling Analysis of Orthotropic Laminated Composite Plate With Rectangular Cut-Outs By Using FEA” International Journal of Emerging Technologies in Computational and Applied Sciences, vol 14, no 717 , 2014, pp:75 - 81 . DOI: 10.1016/j.advengsoft.2009.09.005.
Anu George et al. “Optimization of Different Shape of Cutouts by Buckling Analysis of Laminated Composite Plate” IOSR Journal of Mechanical and Civil Engineering, 2016, pp:21 – 25.
K.Mallikarjuna Reddy et al. Buckling Anlysis of Laminated Composite Plates Using Finite Element Method “International Journal Of Engineering Sciences & Research Technology”, vol 2, no 11, Nov 2013, pp:3281 – 3286.
Prabhakaran.V et al.“Finite Element Analysis of Composite Structures Under Different Types of Loads” International Journal of Engineering Science and Computing, vol 6 , no 8, Aug2016, pp:2631 – 2635.
Nagendra Singh Gaira et al. “Linear buckling analysis of laminated composite plate”International journal of engineering science & advanced technology, vol 2, no 4 , Jul-Aug 2012, pp: 886 – 891.
A.Joshi Gowri Sankar eta al. ” Buckling Analysis of Thin Carbon/Epoxy Plate by Using FEA” International Journal of Engineering Research & Technology, vol 2 , no 9, Sep 2013, pp:515 – 523
Ahmed Hassan Ahmed Hassan et al. “Modeling and Buckling Analysis of Rectangular Plates in ANSYS” International Journal of Engineering & Applied Sciences, vol 11, no 1, 2019, pp:310 – 329. DOI: https://doi.org/10.24107/ijeas.531011.
R J Fernandes etal.“Buckling Analysis of Laminated Composite Plate Using Finite Element Software” International Journal of Civil Engineering Research, vol 9, no 1,2018, pp:11 – 19.
S. Prashanth et al. “Nonlinear Buckling Analysis of Laminated Composite Twisted Plate” Research Journal of Engineering Sciences, vol 4, no 4, Apr 2015, pp:1-8.
Dilu Riswana C et al.“Buckling Analysis Of Laminar Composite Plates With Cutouts”International Research Journal of Engineering and Technology, vol 3 , no 8, Aug2016, pp: 1985-1989.
Pavol Lengvarský et al. “The Buckling Analysis of the Composite Plates with Different Orientations of Layers” American Journal of Mechanical Engineering, vol 4, no 7, 2016, pp: 413-417. DOI:10.12691/ajme-4-7-33
Mr. Madhu Kumar M et al. “Linear Buckling Analysis of S-Glass/Epoxy Laminated Composite”International Journal for Scientific Research & Development, vol 4, no 8, Nov 2016, pp:184-189.
A Lakshmi Narayan et al.“Buckling analysis of rectangular composite plates with rectangular cutout subjected to linearly varying in-plane loading using fem” Indian Academy of Sciences, vol 39 , no 3,Jun 2014, pp:583-596. DOI: 10.1007/s12046-014-0250-9
Mohammad Amin Torabizadeh “Buckling of the composite laminates under mechanical loads with different layups using different plate theories” Advanced Composites Letters, vol 24, no 1,Jan 2015, pp:12-20. DOI: 10.1177/096369351502400103
M. Aydin Komur et al. “Buckling analysis of laminated composite plates with an elliptical/circular cutout using FEM”J.advengsoft. Elsevier Ltd, vol 41, pp:161-164. DOI :10.1016/j.advengsoft.2009.09.005
Ravi Kumar Pa et al. ” Linear Buckling Analysis and Comparative Study of Unstiffened and Stiffened Composite Plate” J.Material Science © Elsevier Ltd,vol 5 ,2018, pp: 6059–6071. DOI: https://doi.org/10.1016/j.matpr.2017.12.211.
Z. Y. Han et al. “Buckling analysis of laminated composite plates with variable fibre orientation angle” Materials Research Innovations © W. S. Maney & Son Ltd, vol 19, no 5 , Dec 2014, pp:836 – 842. DOI 10.1179/1432891714Z.0000000001204
Buket okutan baba“Buckling Behavior of Laminated Composite Plates” Journal of reinforced plastics and composites, vol 26, no 16, Sep 2007, pp: 1637-1655. DOI: 10.1177/0731684407079515
Murat yazici “Influence of Cut-Out Variables on Buckling Behavior of Composite Plates” Journal of reinforced plastics and composites, vol 28, no 19, Sep 2009, pp:2325 – 2339. DOI: 10.1177/0731684408092058
Dhiraj Patil et al. “Vibration and Buckling Analysis of Composite Plate” International Engineering Research Journal, vol 2, no 7, Jan 2017, pp: 2376-2379.
J. N. Reddy et al. “ Buckling and vibration of laminated composite plates using various plate theories” , AIAA Journal , Vol 27,No 12, Oct 2013, pp: 1808-1817, DOI: https://doi.org/10.2514/3.10338
Anish et al. “ Bi-Axial Buckling of Laminated Composite Plates Including Cutout and Additional Mass”, Materials, Vol 12, No 1750, May 2019 , pp: 1-23, DOI:10.3390/ma12111750.
Mark W. Hilburger et al. “Nonlinear and buckling behavior of curved panels subjected to combined loads” American Institute of Aeronautics and Astronautics,2001, pp:1 – 12.
D. K. Biswal et al. “ Free vibration and buckling study of doubly curved laminated shell panels using higher order shear deformation theory based on Sander's approximation” , Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol 232, Issue 20, Oct 2017. pp: 1-17, DOI: https://doi.org/10.1177/0954406217740165.
S. Pradyumna et al. “ Free Vibration And Buckling Of Functionally Graded Shell Panels In Thermal Environments” , International Journal of Structural Stability and Dynamics , Vol 10, No 05, 2010 , pp. 1031-1053 , DOI: 10.1142/S0219455410003889
T Subramani et al. “Finite Element Analysis of Thin Walled-Shell Structures by ANSYS” International Journal of Modern Engineering Research,vol 2 , no 4, Aug 2012, pp:1576-1587.
Leissa. A.W, “A Review of Laminated Composite Plate Buckling” . Appl. Mech. Rev, vol 40,no 5, May 1987, pp: 575-591. DOI: https://doi.org/10.1115/1.3149534
Kapania. R.K et al. “ Recent Advances in Analysis of Laminated Beams and Plates, Part ii: Vibrations and Wave Propagation” AIAA Journal, vol 27, no 7, July 1989 , pp: 935-946. DOI: https://doi.org/10.2514/3.59909
HamidrezaAllahbakhsh et al. “Buckling Analysis of Laminated Composite Panel with Elliptical Cutout Subject to Axial Compression” Hindawi Publishing Corporation Modelling and Simulation in Engineering, Nov 2012, pp: 1-10. DOI: https://doi.org/10.1155/2012/171953
Liew. K.M et al. “ Research on thick plate vibration: A literature survey”. Journal of sound and vibration, vol 180, no 1,Feb 1995, pp:163-176. DOI : https://doi.org/10.1006/jsvi.1995.0072.
Zhang. Y.X et al. “ Recent developments in finite element analysis for laminated composite plates” , Composite Structures, vol 88, 2009, pp: 147–157. DOI :10.1016/j.compstruct.2008.02.014
Ajay Dnyaneshwar Landge et al. “Free and forced vibration of a laminate structure with different material configuration & angle orientation by using finite element analysis” International Journal for Research in Applied Science & Engineering Technology, vol 5, no IX, Sep 2017, pp:1800-1810. DOI: 10.22214/ijraset.2017.9261
Devidas R. Patil et al. “Vibration Analysis of Composite Plate at Different Boundary Conditions” International Journal of Innovative Research in Science, Engineering and Technology, vol 3, no 12, Dec 2014, pp: 18089 – 18094. DOI: 10.15680/IJIRSET.2014.0312046.
C Naveen Raj et al. “Dynamic Analysis of Composite Plate using Finite Element Analysis” International Journal of Engineering Research & Technology, vol 5, no 11, Nov 2016, pp: 270-280.
Pushpendra k. kushwaha et al. “Study of Vibration Analysis of Laminated Composite Plates Using FEM” International Journal of Advanced Mechanical Engineering, vol 4, no 6, 2014, pp: 675-680.
Aishwary Singh Rajawat et al. “Free vibration analysis of Stiffened Laminated Plate using FEM” J.Material Science © Elsevier Ltd, vol 5, no 2, Jan 2018, pp: 5313–5321. DOI: 10.1016/j.matpr.2017.12.115.
M.T.Ahmadian et al.“Forced Vibration Analysis Of Laminated Rectangular Plates Using Super Elements” J.Scientia Iranica, vol 10, no 2, Apr 2003 pp: 260 – 265.
Satyendra Singh Gurjar et al. “Vibration Analysis of moderately thick symmetric cross laminated composite Plate using FEM” IJSRSET, vol 3, no 3, May-June 2017, pp: 500 – 510.
Pushparaj Pingulkar et al. “Free Vibration Analysis of Laminated composite Plates using Finite Element Method”J. Polymers & Polymer Composites, vol 24, no 7, Sep 2016, pp:529 – 538. DOI : https://doi.org/10.1177/096739111602400712
Dr. Ibtehal Abbas Sadiq etal.“Non-Linear Free Vibration Analysis Of Composite Laminated Plates” The Iraqi Journal For Mechanical And Material Engineering, vol 17, no 2 , July 2017, pp: 337-353.
Mohammed Salih Hassan AL-Araji et al. “Free Vibration Analysis of Perforated Laminated Composite Square Plates” Journal of University of Babylon for Engineering Sciences, vol 26, no 10, 2018, pp:335 – 345.
N Mishra et al.“Free vibration Analysis of Sandwich Plates with cutout” IOP Conf. Series: Materials Science and Engineering, vol 149, Sep 2016,pp:1 – 6. DOI: 10.1088/1757-899X/149/1/012149
M. K. Pandit et al. “Free Vibration Analysis of Laminated Composite Rectangular Plate Using Finite Element Method” Journal of Reinforced Plastics and Composites, vol 26, no 1, 2007, pp: 69 – 80. DOI: 10.1177/0731684407069955
Manoj Narwariya etal. “Harmonic analysis of moderately thick symmetric cross-ply laminated composite plate using FEM” ISSN Advances in Computational Design, vol 3, no 2, Apr 2018, pp: 113 – 132. DOI: 10.12989/acd.2018.3.2.113
Prachi Sia et al. “Free Vibration Analysis Of Laminated Composite Beams” Indian J.Sci.Res, vol 14 , no 2, 2017, pp: 270-275.
Sumit Khare et al.“Three-dimensional free vibration analysis of thick laminated circular plates” International Journal of Engineering, Science and Technology, vol 8, no 2, 2016, pp:11 – 29.
M. Ganapathi et al. “Free vibration analysis of simply supported composite laminated panels” J.compstruct Elsevier Ltd,Volume 90, Sep 2009, pp: 100–103. DOI: https://doi.org/10.1016/j.compstruct.2009.02.003
Arafa El-Helloty “Free Vibration Analysis of Stiffened Laminated Composite Plates” International Journal of Computer Applications ,vol 156, no 1, Dec 2016 , pp:12-23.
Sharayu U. Ratnaparkhi et al. “Vibration Analysis of composite plate” International Journal of Modern Engineering Research, vol 3, no 1, Jan-Feb 2013, pp:377 -380. DOI=10.1.1.436.8370
Itishree Mishra, “ Parametric Instability of Woven Fiber Composite Plates”, MTech Thesis, NIT Rourkela,July 2012.
Chai, G.B et al. “Vibration analysis of laminated composite plates: TV-holography and finite element method”, Composite Structures, vol 23, no 4 ,1993, pp: 273-283. DOI : 10.1016/0263-8223(93)90228-I
Chakraborty. S.et al “ Free vibrational responses of FRP composite plates: experimental and numerical studies”, Journal of Reinforced Plastics and Composite, vol 19, no 7 Jan 2000, pp: 535-551. DOI: 10.1106/FU67-2AVN-H1N5-N1GV
Shun-Fa Hwang et al. “ Determination of elastic constants of materials by vibration testing” , Composite Structures, vol 49, no 2 Jun 2000, pp: 183-190. DOI: 10.1016/S0263-8223(99)00132-4.
Lei X et al. “ Vibration characteristics of glass fibre- epoxy composites with different woven structure” , Journal of Composite Materials, vol 45, no 10, 2010,pp: 1069–1076. DOI: 10.1177/0021998310377943
M. Nasihatgozar et al. “ Free Vibration of a Thick Sandwich Plate Using Higher Order Shear Deformation Theory and DQM for Different Boundary Conditions” , Journal of Applied and Computational Mechanics, Vol 3, No 1, Jan 2017, pp: 16-24, DOI: 10.22055/jacm.2017.12548.
C.K. Hirwani et al. “Nonlinear Free Vibration Analysis of Laminated Carbon/Epoxy Curved Panels” Defence Science Journal, vol 67, no 2, Mar 2017, pp: 207 – 218. DOI : 10.14429/dsj.67.10072.
SarmilaSahoo “Free vibration behavior of laminated composite stiffened elliptic parabolic shell panel with cutout” De Gruyter Reasearch Article. CurvedandLayer.Struct, vol 2, Mar 2015, pp:162 – 182. DOI: https://doi.org/10.1515/cls-2015-0009
Charu Lakshmi .S et al. “ Free Vibration Analysis of Laminated Composite Cylindrical Panel Using ANSYS” International Journal of Innovative Research in Science, Engineering and Technology ,vol 4, no 12, Sep 2015, pp: 53 – 57.
K. Karthik et al. “Free Vibration Characteristics Analysis of Prediction Modal Orthotropic Curved Panel by Using Finite Element Method” Journal of Chemical and Pharmaceutical Sciences, no 7, May 2017, pp:71 – 76.
Achchhe Lal et al. “ Thermoelectrically induced nonlinear free vibration analysis of piezo laminated composite conical shell panel with random fiber orientation.” , Curved and Layer. Struct. Vol 4 , Nov 2017; pp :237–254.
V.R. Kar et al. “ Free vibration responses of temperature dependent functionally graded curved panels under thermal environment.” Latin American Journal of Solids and Structures , Vol 12, July 2015, pp: 2006-2024, DOI:http://dx.doi.org/10.1590/1679-78251691.
Vu Van Tham et al. “ Free Vibration Analysis of Laminated Functionally Graded Carbon Nanotube-Reinforced Composite Doubly Curved Shallow Shell Panels Using a New Four-Variable Refined Theory”, J. Compos. Sci ,Vol 3, No 104, Dec 2019, pp: 1-22, DOI:10.3390/jcs3040104.
Mitao Ohga et al. “Vibration analysis of curved panels with variable thickness” Engineering Computations, vol 13, no 2, Mar 1996, pp : 226-239. DOI: 10.1108/02644409610114549
Vijay K. Singh et al. “Free Vibration Analysis of Laminated Composite Cylindrical Panels” International Journal of Engineering Science Invention, 2017, pp:85-88.
S.V.Chougale et al. “Comparative Study of Carbon Fiber Composite rod with Steel by using Modal Analysis and FEA” International Journal of Innovative Research in Science, Engineering and Technology, vol 6, no 11,Nov 2017, pp: 21671-21678. DOI:10.15680/IJIRSET.2017.0611100
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