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Karimi, Mahdi, Shooshtari, Alireza, Razavi, Soheil. (1393). Large amplitude vibration prediction of rectangular plates by an optimal artificial neural network (ANN). فناوری آموزش, 4(1), 55-65. doi: 10.22061/jcarme.2014.72
Mahdi Karimi; Alireza Shooshtari; Soheil Razavi. "Large amplitude vibration prediction of rectangular plates by an optimal artificial neural network (ANN)". فناوری آموزش, 4, 1, 1393, 55-65. doi: 10.22061/jcarme.2014.72
Karimi, Mahdi, Shooshtari, Alireza, Razavi, Soheil. (1393). 'Large amplitude vibration prediction of rectangular plates by an optimal artificial neural network (ANN)', فناوری آموزش, 4(1), pp. 55-65. doi: 10.22061/jcarme.2014.72
Karimi, Mahdi, Shooshtari, Alireza, Razavi, Soheil. Large amplitude vibration prediction of rectangular plates by an optimal artificial neural network (ANN). فناوری آموزش, 1393; 4(1): 55-65. doi: 10.22061/jcarme.2014.72

Large amplitude vibration prediction of rectangular plates by an optimal artificial neural network (ANN)

Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 4، دوره 4، شماره 1، اسفند 2014، صفحه 55-65    اصل مقاله (1006.02 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2014.72
نویسندگان
Mahdi Karimi* ؛ Alireza Shooshtari؛ Soheil Razavi
Mechanical Engineering Department, Bu-Ali Sina University, 65175-38659 Hamedan, Iran
تاریخ دریافت: 21 فروردین 1392،  تاریخ بازنگری: 27 بهمن 1392،  تاریخ پذیرش: 23 فروردین 1393 
چکیده
In this paper, nonlinear equations of motion for laminated composite rectangular plates based on the first order shear deformation theory were derived. Using a perturbation method, the nonlinear equation of motion was solved and analytical relations were obtained for natural and nonlinear frequencies. After proving the validity of the obtained analytical relations, as an alternative and simple modeling technique, ANN was also employed to model the laminated rectangular plates and predict effects of different parameters on the natural and nonlinear frequencies of the plates. In this respect, an optimal ANN was selected and trained by training data sets obtained from analytical method and also tested by testing data sets. The obtained results were in good agreement with the analytical and published results.
کلیدواژه‌ها
Nonlinear vibration؛ Simply-supported؛ Rectangular laminated plates؛ Artificial neural network
مراجع
[1] B. Harras, R. Benamar and R. G. White, “Experimental and theoretical investigation of the linear and non-linear dynamic behaviour of a Glare 3 hybrid composite panel”, Journal of Sound and vibration, Vol. 252, No. 2, pp. 281-315, (2002).

[2] W. Zhen and C. Wanji, “Free vibration of laminated composite and sandwich plates using global–local higher-order theory”, Journal of Sound and Vibration, Vol. 298, No. 1-2, pp. 333-349, (2006).

[3] M. Malik and C. W. Bert, “Three-dimensional elasticity solutions for free vibrations of rectangular plates by the differential quadrature method”, International Journal of Solids and Structures, Vol. 35, No. 3-4, pp. 299-318, (1998).

[4] S. Xiang and K. M. Wang, “Free vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory and inverse multiquadric RBF”, Thin-Walled Structures, Vol. 47, No. 3, pp. 304-310, (2009).

[5] W. X. Wu, C. Shu and C. M. Wang, “Mesh-free least-squares-based finite difference method for large-amplitude free vibration analysis of arbitrarily shaped thin plates”, Journal of Sound and Vibration, Vol. 317, No. 3-5, pp. 955-974, (2008).

[6]  G. R. Liu, X. Zhao, K. Y. Dai, Z. H. Zhong, G. Y. Li and X. Han, “Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method”, Composites Science and Technology, Vol. 68, No. 2, pp. 354-366, (2008).

[7] M. Ćetković and D. J. Vuksanović, “Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model”, Composite Structures, Vol. 88, No. 2, pp. 219-227, (2009).

[8] W. Zhen, Y. K. Cheung, S. H. Lo and W. Chen, “Effects of higher-order global-local shear deformations on bending, vibration and buckling of multilayered plates”, Composite Structures, Vol. 82, No. 2, pp. 277-289, (2008).

[9] P. Ribeiro and M. Petyt, “Non-linear vibration of composite laminated plates by the hierarchical finite element method”, Composite Structures, Vol. 46, No. 3, pp. 197-208, (1999).

[10] P. Ribeiro, “Forced periodic vibrations of laminated composite plates by a p-version, first order shear deformation, finite element”, Composites Science and Technology, Vol. 66, No. 11-12, pp. 1844-1856, (2006).

[11] J. N. Reddy and W. C. Chao, “Large-deflection and large-amplitude free vibrations of laminated composite-material plates”, Computers & Structures, Vol. 13, No. 1-3, pp. 341-347, (1981).

[12] A. K. Ghosh and S. S. Dey, “Free vibration of laminated composite plates-a simple finite element based on higher order theory”, Computers & Structures, Vol. 52, No. 3, pp. 397-404, (1994).

[13] P. Dash and B. N. Singh, “Geometrically nonlinear bending analysis of laminated composite plate”, Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 10, pp. 3170-3181, (2010).

[14] J. S. Chang and Y. P. Huang, “Nonlinear analysis of composite anti-symmetric angle-ply under uniform temperature field”, Computers & Structures, Vol. 40, No. 4, pp. 857-869, (1991).

[15] J. N. Reddy, “Free vibration of anti-symmetric, angle-ply laminated plates including transverse shear deformation by the finite element method”, Journal of Sound and Vibration, Vol. 66, No. 4, pp. 565-576, (1979).

[16] Q. H. Cheng, T. S. Lok and Z. C. Xie, “Geometrically non-linear analysis including shear deformation of composite laminates”, Thin-Walled Structures, Vol. 35, No. 1, pp. 41-59, (1999).

[17] M. K. Singha and R. Daripa, “Nonlinear vibration and dynamic stability analysis of composite plates”, Journal of Sound and Vibration, Vol. 328, No. 4-5, pp. 541-554, (2009).

[18] M. Taazount, A. Zinai and A. Bouazzouni, “Large free vibration of thin plates: Hierarchic finite Element Method and asymptotic linearization”, European Journal of Mechanics A/Solids, Vol. 28, No. 1, pp. 155-165, (2009).

[19] F. Boumediene, A. Miloudi, J. M. Cadou, L. Duigou and E. H. Boutyour, “Nonlinear forced vibration of damped plates by an asymptotic numerical method”, Computers and Structures, Vol. 87, No. 23-24, pp. 1508-1515, (2009).

[20] L. Azrar, E. H. Boutyour and M. Potier-Ferry, “Non-linear forced vibrations of plates by an asymptotic-numerical method”, Journal of Sound and Vibration, Vol. 252, No. 4, pp. 657-674, (2002).

[21] M. Amabili, “Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments”, Computers and Structures, Vol. 82, No. 31-32, pp. 2587-2605, (2004).

[22] M. Amabili and S. Farhadi, “Shear deformable versus classical theories for nonlinear vibrations of rectangular isotropic and laminated composite plates”, Journal of Sound and Vibration, Vol. 320, No. 3, pp. 649-667, (2009).

[23] B. Bhushan, G. Singh and G. V. Rao, “An iteration method for the large amplitude flexural vibration of anti-symmetric cross-ply rectangular plates”, Composite Structures, Vol. 18, No. 3, pp. 263-282, (1991).

[24] A. Abe, Y. Kobayashi and G. Yamada, “Analysis of sub-harmonic resonance of moderately thick anti-symmetric angle-ply laminated plates by using method of multiple scales”, Journal of Sound and Vibration, Vol. 217, No. 3, pp. 467-484, (1998).

[25] A. Shooshtari and S. Razavi, “A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates”, Composite Structures, Vol. 92, No. 11, pp. 2663-2675, (2010).

[26] I. V. Andrianov, V. V. Danishevs’kyy and J. Awrejcewicz, “An artificial small perturbation parameter and nonlinear plate vibrations”, Journal of Sound and Vibration, Vol. 283, No. 3-5, pp. 561-571, (2005).

[27] R. L. Woodcock, R. B. Bhat and I. G. Stiharu, “Effect of ply orientation on the in-plane vibration of single-layer composite plates”, Journal of Sound and Vibration, Vol. 312, No. 1-2, pp. 94-108, (2008).

[28] W. S. Kuo and I. H. Yang, “Generic nonlinear behavior of anti-symmetric angle-ply laminated plates”, International Journal of Mechanical Sciences, Vol. 31, No. 2, pp. 131-143, (1989).

[29] K. Swaminathan and S. S. Patil, “Analytical solutions using a higher order refined computational model with 12 degrees of freedom for the free vibration analysis of anti-symmetric angle-ply plates”, Composite Structures, Vol. 82, No. 2, pp. 209-216, (2008).

[30] G. Janevski, “Asymptotic solution of nonlinear vibrations of anti-symmetric laminated angle-ply plate”, FME Transactions, Vol. 30, No. 2, pp. 77-84, (2002).

[31] G. Janevski, “Two-frequency nonlinear vibrations of anti-symmetric laminated angle-ply plate”, Facta universitatis-Series: Mechanics, Automatic Control and Robotics, Vol. 4, No. 1, pp. 345-358, (2004).

[32] Z. Zhang, P. Klein and K. Friedrich, “Dynamic mechanical properties of PTFE based short carbon fiber reinforced composites: experiment and artificial neural network prediction”, Composites Science and Technology, Vol. 62, No. 7-8, pp. 1001-1009, (2002).

[33] A. Jodaei, M. Jalal and M. H. Yas, “Free vibration analysis of functionally graded annular plates by state-space based differential quadrature method and comparative modeling by ANN”, Composites: Part B, Vol. 43, No. 2, pp. 340-353, (2012).

[34] A. Jodaei, M. Jalal and M. H. Yas, “Three-dimensional free vibration analysis of functionally graded piezoelectric annular plates via SSDQM and comparative modeling by ANN”, Mathematical and Computer Modelling, Vol. 57, No. 5-6, pp. 1408-1425, (2013).

[35] V. P. Singh, S. Chakraverty, R. K. Sharma and G. K. Sharma, “Modeling vibration frequencies of annular plates by regression based neural network”, Applied Soft Computing, Vol. 9, No. 1, pp. 439-447, (2009).

[36] R. Gunes, M. K. Apalak, M. Yildirim and I. Ozkes, “Free vibration analysis of adhesively bonded single lap joints with wide and narrow functionally graded plates”, Composite Structures, Vol. 92, No. 1, pp. 1-17, (2010).

[37] R. Gunes, M. K. Apalak and M. Yildirim, “The free vibration analysis and optimal design of an adhesively bonded functionally graded single lap joint”, International Journal of Mechanical Sciences, Vol. 49, No. 4, pp. 479-499, (2007).

[38] M. K. Apalak and M. Yildirim, “Free Vibration Analysis and Optimal Design of a Clamped-free Single Lap Joint with Unidirectional Laminated Narrow Plates”, Journal of Thermoplastic Composite Materials, Vol. 22, No. 2, pp. 183-211, (2009).

[39] V. Rouss, W. Charon and G. Cirrincione, “Neural model of the dynamic behaviour of a non-linear mechanical system”, Mechanical Systems and Signal Processing, Vol. 23, No. 4, pp. 1145-1159, (2009).

[40] M. R. S. Reddy, B. S. Reddy, V. N. Reddy and S. Sreenivasulu, “Prediction of Natural Frequency of Laminated Composite Plates Using Artificial Neural Networks”, Engineering, Vol. 4, No. 6, pp. 329-337, (2012).  

[41] J. N. Reddy, “Mechanics of laminated composite plates and shells: theory and analysis”, 2nd Edition, CRC Press, (2004).

[42] C. Y. Chia, “Nonlinear Analysis of Plates”, McGraw-Hill, (1980).

[43] R. M. Jones, “Mechanics of composite materials”, 2nd Edition, Taylor Francis Inc., (1999).

[44] A. H. Nayfeh and D. T. Mook, “Nonlinear Oscillations”, John Wiley & Sons Inc., (1995).

[45] K. M. Liew, Y. Q. Huang and J. N. Reddy, “Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method”, Computer Methods in Applied Mechanics and Engineering, Vol. 192, No. 19, pp. 2203-2222, (2003).

[46] A. Alibeigloo, M. Shakeri and M. R. Kari, “Free vibration analysis of anti-symmetric laminated rectangular plates with distributed patch mass using third-order shear deformation theory”, Ocean Engineering, Vol. 35, No. 2, pp. 183-190, (2008).

[47] M. T. Hagan and M. Menhaj, “Training feed-forward networks with the Marquardt algorithm”, IEEE Transactions on Neural Networks, Vol. 5, No. 6, pp. 989-993, (1994).

[48] H. Nguyen-Van, N. Mai-Duy, W. Karunasena and T. Tran-Cong, “Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations”, Computers and Structures, Vol. 89, No. 7-8, pp. 612-625, (2011).

[49] A. J. M. Ferreira, R. M. N. Jorge and C. M. C. Roque, “Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions”, Computer Methods in Applied Mechanics and Engineering, Vol. 194, No. 39-41, pp. 4265-4278, (2005).

[50] G. Akhras and W. Li, “Static and free vibration analysis of composite plates using spline finite strips with higher-order shear deformation”, Composites: Part B, Vol. 36, No. 6-7, pp. 496-503, (2005).

[51] J. N. Reddy and N. D. Phan, “Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory”, Journal of Sound and Vibration, Vol. 98, No. 2, pp. 157-170, (1985).

[52] X. Song and G. Kang, “Local thin plate spline collocation for free vibration analysis of laminated composite plates”, European Journal of Mechanics A/Solids, Vol. 33, pp. 24-30, (2012).

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