Free Vibration of Sandwich Panels with Smart Magneto-Rheological Layers and Flexible Cores

Document Type: Research Paper

Authors

1 School of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran

2 Structural Analysis and Simulation Department,Space Research Institute, Malek Ashtar University of Technology

Abstract

This is the first study on the free vibrational behavior of sandwich panels with flexible core in the presence of smart sheets of oil which is capable of the excitation of magnetic field. In order to model the core, the improved high order theory of sandwich sheets was used by a polynomial with unknown coefficients first degree shear theory was used for the sheets. The derived equations based on Hamilton principle with simple support boundary condition for upper and lower sheets were solved using Navier technique. Accuracy and precision of the theory were investigated by comparing the results of this study with those of analytical and numerical works. In the conclusion section, effect of the intensity of magnetic field and other physical parameters including ratio of sheet's length to width, ratio of sheet's length to thickness, ratio of core thickness to sheet's overall thickness, and ratio of oil layer thickness to sheet's overall thickness on natural frequency was investigated.

Keywords


[1] Rabinow J., 1948, The magnetic fluid clutch, American Institute of Electrical Engineers, Transactions 67: 1308-1315.
[2] Carlson J.D., Jolly M.R., 2000, MR fluid, foam and elastomer devices, Mechatronics 10: 555-569.
[3] Yao G.Z., Yap F.F., Chen G., Li W.H., Yeo S.H., 2002, MR damper and its application for semi-active control of vehicle suspension system, Mechatronics 12(7): 963-973.
[4] Oh H.U., Onoda J., 2002, An experimental study of a semi-active magneto-rheological fluid variable damper for vibration suppression of truss structures, Smart Materials and Structures 11(1): 156-162.
[5] Sun Q., Zhou J.X., Zhang L., 2003, An adaptive beam model and dynamic characteristics of magnetorheological materials, Journal of Sound and Vibration 261(3): 465-481.
[6] Yalcintas M ., Dai H., 2004, Vibration suppression capabilities of magneto-rheological materials based adaptive structures, Smart Materials and Structures 13(1): 1-11.
[7] Rajamohan V., Sedaghati R., Rakheja S., 2010, Vibration analysis of a multi-layer beam containing magnetorheological fluid, Smart Materials and Structures 19(1): 015013.
[8] Choi Y., Sprecher A.F., Conrad H., 1990, Vibration characteristics of a composite beam containing an electrorheological fluid, Journal of Intelligent Material Systems 1(1): 91-104.
[9] Nayak B., Dwivedy K.S., Murthy R.K., 2011, Dynamic analysis of magnetorheological elastomer-based sandwich beam with conductive skins under various boundary conditions, Journal of Sound and Vibration 330(9): 1837-1859.
[10] Yeh J.Y, 2013, Vibration analysis of sandwich rectangular plates with magnetorheological elastomer damping treatment, Smart Materials and Structures 22(3): 035010.
[11] Manoharan R., Vasudevan R., Jeevanantham A.K., 2014, Dynamic characterization of a laminated composite magnetorheological fluid sandwich plate, Smart Materials and Structures 23(2): 025022.
[12] Kameswara Rao M., Desai,Y.M., ChitnisM.R., 2001, Free vibrations of laminated beams using mixed theory, Composite Structures 52(2): 149-160.
[13] Kant T., Swaminathan K., 2001, Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory, Composite Structures 53(1): 73-85.
[14] Meunier M., Shenoi R.A., 2001, Dynamic analysis of composite sandwich plates with damping modelled using high-order shear deformation theory, Composite Structures 54(2-3): 243-254.
[15] Nayak A.K., Moy S.S.J., Shenoi R.A., 2002, Free vibration analysis of composite sandwich plates based on Reddy's higher-order theory, Composites Part B: Engineering 33(7):505-519.
[16] Frostig Y., Thomsen O.H., 2004, High-order free vibration of sandwich panels with a flexible core, International Journal of Solids and Structures 41(5-6): 1697-1724.
[17] Malekzadeh K., Khalili M.R., Mittal R.K., 2005, Local and global damped vibrations of plates with a viscoelastic soft flexible core: an improved high-order approach, Journal of Sandwich Structures and Materials 7(5): 431-456.
[18] Ćetković M., Vuksanović D.J., 2009, Bending, free vibrations and buckling of laminated composite and sandwich plates using a layer wise displacement model, Composite Structures 88(2): 219-227.
[19] Yao Kuo Sh., Le-Chung Sh., 2009, Buckling and vibration of composite laminated plates with variable fiber spacing, Composite Structures 90(2): 196-200.
[20] Vasudevan R., Sedaghati R., Rakheja S., 2010, Vibration analysis of a multi-layer beam containing magnetorheological fluid, Smart Materials and Structures 19(1): 015013.
[21] Rahmani O., Khalili M.R ., Malekzadeh K., 2010, Free vibration response of composite sandwich cylindrical shell with flexible core, Composite Structures 92(5): 1269-1281.
[22] Meunier M., Shenoi R.A., 1999, Free vibration analysis of composite sandwich plates, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 213(7): 715-727.