Frequency Response Analysis of Composite Aircraft Wing Using a Finite Element Euler-Bernoulli Beam Model

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Ismail BENNAMIA
Aimad-eddine BADEREDDINE
Mansour YAHIA CHERIF
Toufik ZEBBICHE

Abstract

The purpose of this study is to show the influence of fiber orientation of laminated composites on bending-torsion coupling rigidity and Frequency analysis of aircraft wing model by using finite element composite beam model. The beam model is effective for preliminary design of aerospace structures (optimization, dynamic response and aeroelasticity, etc). New materials or composites have a high relationship between the bending and torsion modes due to their anisotropies. The bending-torsion coupling coefficient considered here is calculated using different ply angles of laminated composite materials. The Energy Method is used to derive the basic mass and rigidity matrices of the beam where the stiffness matrix contains terms of bending-torsion coupling. An application for free vibration analysis of aircraft wing is validated in this study and a frequency response using a MATLAB@ program is illustrated.

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How to Cite
[1]
2018. Frequency Response Analysis of Composite Aircraft Wing Using a Finite Element Euler-Bernoulli Beam Model. Romanian Journal of Acoustics and Vibration. 15, 1 (Aug. 2018), 26–32.
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Articles

How to Cite

[1]
2018. Frequency Response Analysis of Composite Aircraft Wing Using a Finite Element Euler-Bernoulli Beam Model. Romanian Journal of Acoustics and Vibration. 15, 1 (Aug. 2018), 26–32.

References

[1] Tanka M., Bercin A.N., Finite Element Bending of a Coupled Bending and torsional Free Vibration of Uniform Beams with an Arbitrary Cross-Section, Applied Mathematical Modeling Vol. 21, No. 6, 1997, pp. 339-344.
[2] Banerjee J.R., Su H., Jayatunga C., A Dynamic Stiffness Element for Free Vibration Analysis of Composite Beams and its Application to Aircraft Wings, Computers and Structures Vol. 86, No. 6, 2008, pp. 573-579.
[3] AhmedAbd Al-Hussain Ali, Mohammed Ismael Hamed, The Effect of Laminated Layers on the Flutter Speed of Composite Wing, Journal of Engineering, Iraqi Academic Scientific Journals Vol. 18, No. 8, 2012, pp. 924-934.
[4] Kwon W.Y., Bang H., The Finite Element Method using Matlab, CRC Presse, Taylor & Francis Group, 1997.
[5] Wright J. R., Cooper E., Introduction to aircraft aeroelasticity and loads, John Wiely & Sons, 2007.
[6] Gupta A., Moreno C. P., Pfifer H., Balas G. J., Updating a Finite Element Based Structural Model of a Small Flexible Aircraft, AIAA Modeling and Simulation, Technologies Conference, AIAA SciTech Forum, (AIAA 2015-0903)
[7] Taylor J. M., Butler R., Optimum Design and Validation of flat Composite Beams Subject to Frequency Constraints, AIAA Journal, Vol. 35, No. 3, 1997, pp. 540-545.
[8] Bassioni A.S., Gad-Elarb R.M., Elmahd T.H., Dynamic Analysis for Laminated Composite Beams, Composite Structures, Vol. 44, No. 2-3, 1999, pp. 81-87.
[9] Oz H.R., Calculation of the Natural Frequencies of a Beam Mass System Using Finite Element Method, Mathematical and Computational Applications, Vol. 5, No. 2, 2000, pp. 67-75.
[10] Özturk H., Sabunci M., Stability Analysis of a Cantilever Composite Beam on Elastic Supports, Composites Science and Technology, No. 65, No. 13, 2005, pp. 1982-1995.
[11] Attaran, D.L. Majid, S. Basri, A.S.Mohd Rafie, E.J. Abdullah, Structural Optimization of an Aeroelastically Tailored Composite Flat Plate Made of Woven fiberglass/epoxy, Aerospace Science and Technology, Vol. 15, No. 5, pp. 393-401.
[12] Guo S., Aeroelastic Optimization of an Aerobatic Aircraft Wing Structure, Aerospace science and Technology, Vol. 11, No. 5, 2007, pp. 396-404.
[13] Banerjee J.R., Explicite Analytical Expressions for Frequency Equation And Mode Shapes of Composite Beams, International Journal of Solides and Structures, Vol. 38, No. 14, 2001, pp. 2415-2426.
[14] Li Jun, Hua Hongxing, Shen Rongying, Dynamic Finite Element Method for Generally Composite Beams, International Journal of Mechanical Science, Vol. 50, No. 3, 2005, pp. 466-480.
[15] Yilidiz H., Sarikanat M., Finite Element Analysis of Thick Beams and Plates, Composites Science and Technology, Vol. 61, No, 12, 2001, pp. 1723-1727.
[16] Românu B.I.G., Iancu V. , Gillich G.R., Determination of the Natural Frequencies of Beams Using Sound Pressure, Romanian Journal of Acoustics and Vibration, Vol. 5, No. 2, 2013, pp. 93-96.
[17] Tufoi M., Gillich G.R., Praisach Z.I., Iancu V., Furdui I., About the Influence of Temperature Changes on the Natural Frequencies of Clamped-Clamped Euler-Bernoulli Beams, Romanian Journal of Acoustics and Vibration, Vol. 6, No. 2, 2014, pp. 84-87.
[18] Arghir G., Bere P., Utilisation of Composite Materials in Model Aircraft Structure, Acta Technical Napocensis, Applied Mathematics, Mechanics and Engineering, Vol. 60, No. 1, 2017, pp. 19-26.
[19] Tizzi S., Numerical Procedure for the Dynamic Analysis of Three-Dimensional Aeronautical Structures, Journal of Aircraft Vol. 34, No. 1, 1997, pp. 120-129.
[20] Sheng S. H., Hwu C., On Line Measurement of Material Properties for Composite Wing Structures, Composite Science and Technology, Vol. 66 No. 7-8, 2006, pp. 1001-1009.
[21] Borneman S. R., New Dynamic Finite Element Formulation with Application to Composite Aircraft Wings, M.A.Sc. Thesis, Ryerson University, 2004.