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Free vibrations analysis of a sandwich rectangular plate with electrorheological fluid core | ||
| Journal of Computational & Applied Research in Mechanical Engineering (JCARME) | ||
| مقاله 7، دوره 5، شماره 1، اسفند 2015، صفحه 71-81 اصل مقاله (1.28 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22061/jcarme.2015.346 | ||
| نویسندگان | ||
| M. M. Soleymani* 1؛ M. A. Hajabasi2؛ S. Elahi Mahani1 | ||
| 1Department of Mechanical Engineering, Payame Noor University, Kerman, Iran | ||
| 2Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| تاریخ دریافت: 16 دی 1393، تاریخ بازنگری: 19 اردیبهشت 1394، تاریخ پذیرش: 27 اردیبهشت 1394 | ||
| چکیده | ||
| In this paper, a rectangular sandwich plate with a constrained layer and an electrorheological (ER) fluid core is investigated. The rectangular plate is covered an ER fluid core and a constraining layer to improve the stability of the system. The two outer layers of the sandwich structure are elastic. The viscoelastic materials express the middle layer behavior under electric field and small strain. Rheological property of an ER material, such as viscosity, plasticity, and elasticity, may be changed when applying an electric field. The ER core is found to have a significant effect on the stability of the sandwich plate. In this paper, based on the displacement field of each layer, the kinetic energy and strain energy are separately obtained for each layer. Transverse displacement of the second layer changes linearly between the transverse displacement of the first and third layers. The loss energy of the second layer consisting of the ER fluid is also calculated and, with the replacement of total kinetic energy, total strain energy, and energy dissipation in the Lagrange's equation, the structural motion equation is obtained. Natural frequencies and loss factor for the electric fields as well as the ratio of different thicknesses calculated are by Navier analytical method. As the applied electric field increases, the natural frequency of the sandwich plate increases and the modal loss factor decreases. With increasing the thickness of the ER layer, the natural frequencies of the sandwich plate are decreased. Thickness of the constrained layer also affects the stability of the sandwich plate. | ||
| کلیدواژه‌ها | ||
| Free vibrations؛ Sandwich plate؛ Electrorheological fluid؛ Natural frequencies؛ Loss factor | ||
| مراجع | ||
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[1] D. Rao, “Recent Applications of Viscoelastic Damping for Noise Control in Automobiles and Commercial Airplanes”, Journal of Sound and Vibration, Vol. 262, No. 3, pp. 457-474, (2003).
[2] M. Kerwin, “Damping of Flexural Waves by a Constrained Viscoelastic Layer”, Journal of the Acoustical Society of America, Vol. 31, No. 7, pp. 952-962, (1959).
[3] Ungar, E. M. Kerwin, “Loss factors of viscoelastic systems in terms of energy concepts”, Journal of the Acoustical Society of America, Vol. 34, No. 7, pp. 954-957, (1962).
[4] A. Ditaranto, “Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite-Length Beams”, Journal of Applied Mechanics, Vol. 32, No. 4, pp. 881-886, (1965).
[5] J. Mead, M. Markus, “The Forced Vibration of a Three-Layer, Damped Sandwich Beam with Arbitrary Boundary Conditions”, Journal of sound and vibration, Vol. 10, No. 2, pp. 163-175, (1969).
[6] J. Mead, M. Markus, “Loss Factors and Resonant Frequencies of Encastre Damped Sandwich Beams”, Journal of Sound and Vibration, Vol. 12, No. 1, pp. 99-112, (1970).
[7] Reissner, “Finite deflections of sandwich plates”, Journal of the Aeronautical Sciences, Vol. 15, No. 7, pp. 415-440, (2012).
[8] D. Liaw, R. W. Little, “Theory of bending multilayer sandwich plates”, AIAA Journal, Vol. 5, No. 2, pp. 301-304, (1967).
[9] J. Azar, “Bending theory of multilayer orthotropic sandwich plates”, AIAA Journal, Vol. 6, No. 11, pp. 2166-2169, (1968).
[10] Y. Yu, “A new theory of elastic sandwich plates: one dimensional case”, United States Air Force, Office of Scientific Research, (1958).
[11] Y. Yu, “Forced flexural vibrations of sandwich plates in plane strain”, Journal of Applied Mechanics, Vol. 27, No. 3, pp. 535-540, (1960).
[12] J. Yan, E. H. Dowell, “Governing equations for vibration constrained-layer damping sandwich plates and beams”, Journal of Applied Mechanics, Vol. 39, No. 4, pp. 1041-1046, (1972).
[13] P. Khatua, Y. K. Chenug, “Bending and vibration of multilayer sandwich beams and plates”, International Journal for Numerical Methods in Engineering, Vol. 6, No. 1, pp. 11-24, (1973).
[14] K. Rao, “Frequency and Loss Factors of Sandwich Beams under Various Boundary Conditions”, Journal of Mechanical Engineering Science, Vol. 20, No. 5, pp. 271-282, (1978).
[15] T. Cottle, Damping of Layered Beams with Mixed Boundary Conditions, Master Thesis, Air Force Institute of Technology, (1990).
[16] H. Kanematsu, Y. Hirano, H. Iyama, “Bending and vibration of CFRP-faced rectangular sandwich plates”, Composite Structures, Vol. 10, No. 2, pp. 145-163, (1988).
[17] D. Johnson, D. A. Kienholz, “Finite Element Prediction of Damping in Beams with Constrained Viscoelastic Layers”, AIAA Journal, Vol. 20, No. 9, pp. 1284- 1290, (1982).
[18] J. O’Conner, “A finite element package for the analysis of sandwich construction”, Composite structures, Vol. 8, No. 2, pp. 143-161, (1987).
[19] C. Nakra, “Some Studies on Structural Dynamic Modifications”, India-USA Symposium on Emerging Trends in Vibration and Noise Engineering, The Ohio State University, (2001).
[20] P. Coulter, “Engineering application of ER materials”, Journal of Intelligent Material Systems and Structures, Vol. 4, No. 2, pp. 248-259, (1993).
[21] D. Weiss, J. P. Coulter, J. D. Carlson, “Material aspects of electrorheological system”, Journal of Intelligent Material Systems and Structures, Vol. 4, No. 1, pp.13-34, (1993).
[22] L. Don, An investigation of electrorheological material adoptive structure, Master thesis, Lehigh University, Bethlehem, Pennsylvania (1993).
[23] Yalcintas, J. P. Coulter, “Analytical modeling of electrorheological material based adaptive beams”, Journal of intelligent material systems and structures, Vol. 6, No. 4, pp. 488-497, (1995).
[24] Yalcintas, J. P. Coulter, “Electrorheological material based adaptive beams subjected to various boundary conditions”, Journal of intelligent material systems and structures, Vol. 6, No. 5, pp. 700-717, (1995).
[25] Y. Lee, “Finite element formulation of a sandwich beam with embedded electro-rheological fluids”, Journal of intelligent material systems and structures,Vol. 6, No. 5, pp. 718-728, (1995).
[26] Y. Yeh, L. W. Chen, C. C. Wang, “Vibration of a sandwich plate with a constrained layer and electrorheological fluid core”, Composite structures, Vol. 65, No. 2, pp. 251-258, (2004).
[27] Y. Yeh, L. W. Chen, C. C. Wang, “Finite element dynamic analysis of orthotropic sandwich plates with an electrorheological fluid core layer”, Composite structures, Vol. 78, No. 3, pp. 368-376, (2007).
[28] Y. Yeh, L. W. Chen, C. C. Wang, “Dynamic stability analysis of a rectangular orthotropic sandwich plate with an ER fluid core”, Composite structures, Vol. 72, No. 1, pp. 33-41, (2006).
[29] Y. Yeh, “Vibration analyses of the annular plate with ER fluid damping treatment”, Finite Elements in Analysis and Design, Vol. 43, No. 11, pp. 965-974, (2007).
[30] Y. Yeh, L. W. Chen, C. T. Lin, C. Y. Liu, “Damping and vibration analysis of polar orthotropic annular plates with ER treatment”, Journal of Sound and Vibration, Vol. 325, No. 1, pp. 1-13, (2009).
[31] Y. Yeh, “Free vibration analysis of rotating polar orthotropic annular plate with ER damping treatment”, Composites Part B: Engineering, Vol. 42, No. 4, pp. 781-788, (2011).
[32] M. Hasheminejad, M. Maleki, “Free vibration and forced harmonic response of an electrorheological fluid-filled sandwich plate”, Smart Materials and Structures, Vol. 18, No. 5, 055013, (2009).
[33] Mohammadi, R. Sedaghati, “Nonlinear free vibration analysis of sandwich shell structures with a constrained ER fluid layer”, Smart Materials and Structures, Vol. 21, No. 7, 075035, (2012).
[34] D. Drozdow, Mechanics of viscoelastic solids, John Wiley & Sons, (1998). | ||
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