Vibration Analysis of the Sandwich Beam with Electro-Rheological Fluid Core Embedded Within Two FG Nanocomposite Faces Resting on Pasternak Foundation
الموضوعات :A.H Ghorbanpour-Arani 1 , A Rastgoo 2
1 - School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
2 - School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
الکلمات المفتاحية: Carbon Nanotube, Composite material, Electro-rheological core, Functionally graded layers,
ملخص المقالة :
This investigation deals with the vibration analysis of the sandwich beam with electro-rheological (ER) core embedded within two functionally graded (FG) carbon nanotubes (CNTs) reinforced composite (FG-CNTRC) layers. In this regard, the governing equations are extracted by the Hamilton principle and the rule of mixture is employed to calculate the effective mechanical and physical properties of the CNTRCs face-sheets. Don and Yalcintas shear modulus models are applied to simulate shear modules of the ER core of the beam. The elastic medium is simulated by Winkler-Pasternak model and then, the governing equations are analytically solved. Finally, a parametric study is carried out in details and the effects of some main designing parameters such as applied voltage, Winkler coefficient, Pasternak coefficient, core to face-sheets thickness ratios and the different pattern of the CNTs along the face-sheets and loss factors are examined on the natural frequency. Based on the obtained results, volume fraction of CNTs in face-sheets have significant influence on the natural frequency in which by increasing the volume fractions the flexural rigidity of the sandwich beam increases as well as natural frequency.
[1] Allahverdizadeh A., Eshraghi I., Mahjoob M.J., Nasrollahzadeh N., 2014, Nonlinear vibration analysis of FGER sandwich beams, International Journal of Mechanical Sciences 78: 167-176.
[2] Allahverdizadeh A., Eshraghi I., Asgharifard S.P., 2012, Effects of electrorheological fluid core and functionally graded layers on the vibration behavior of a rotating composite beam, Meccanica 47: 1945-1960.
[3] Allahverdizadeh A., Mahjoob M.J., Eshraghi I., Nasrollahzadeh N., 2013, On the vibration behavior of functionally graded electrorheological sandwich beams, International Journal of Mechanical Sciences 70: 130-139.
[4] Allahverdizadeh A., Mahjoob M.J., Maleki M., Nasrollahzadeh N., Naei M.H., 2013, Structural modeling, vibration analysis and optimal viscoelastic layer characterization of adaptive sandwich beams with electrorheological fluid core, Mechanics Research Communications 51: 15-22.
[5] Arikoglu A., Ozkol I., 2010, Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method, Composite Structures 416(12): 3031-3039.
[6] Bessaim A., Houari M.S., Tounsi A., Mahmoud S., Abbes Adda Bedia E., 2013, A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets, Journal of Sandwich Structures and Materials 15(6): 671-703.
[7] Besseghier A., Heireche H., Anis Bousahla A., Tounsi A., Benzair A., 2015, Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix, Advances in Nano Research 3(1): 29-37.
[8] Biglari H., Jafari A.A., 2010, Static and free vibration analyses of doubly curved composite sandwich panels with soft core based on a new three-layered mixed theory, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224(11): 2332-2349.
[9] Chemi A., Heireche H., Zidour M., Rakrak K., Anis Bousahla A., 2015, Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity, Advances in Nano Research 3(4): 193-206.
[10] Coulter J. P., 1993, Engineering application of electrorheological materials, Journal of Intelligent Material Systems and Structures 4: 248-259.
[11] Cunedioglu Y., 2015, Free vibration analysis of edge cracked symmetric functionally graded sandwich beams, Structural Engineering and Mechanics 56(6): 4590-4597.
[12] Don D.L., 1993, An Investigation of Electrorheologial Material Adaptive Structures, Theses and Dissertations, Mechanical Engineering and Mechanics, Lehigh University.
[13] Esawi A., Farag M., 2007, Carbon nanotube reinforced composites: potential and current challenges, Material & Design 28: 2394-2401.
[14] Ghorbanpour Arani A., Jamali S.A., BabaAkbar Zarei H., 2017, Differential quadrature method for vibration analysis of electro-rheological sandwich plate with CNT reinforced nanocomposite facesheets subjected to electric field, Composite Structures 180: 211-220.
[15] Hasheminejad S.M., Aghayi Motaaleghi M., 2015, Aeroelastic analysis and active flutter suppression of an electro-rheological sandwich cylindrical panel under yawed supersonic flow, Aerospace Science and Technology 42:118-127.
[16] Krivenkov K., Ulrich S., Bruns R., 2012, Extending the operation range of electrorhe-ological actuators for vibration control through novel designs, Journal of Intelligent Material Systems and Structures 23(12): 1323-1330.
[17] Lu J.Z., Li Q.B., 2010, Application of electrorheological fluid to vibration control of structures, Journal of Yantai University (Natural Science and Engineering) 23(3): 223-228.
[18] Natarajan S., Haboussi M., Manickam G., 2014, Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite, Composite Structures 113: 197-207.
[19] Norrick N., 2014, Electrorheological fluid power dissipation and requirements for an adaptive tunable vibration absorber, International Journal of Innovations in Materials Science and Engineering 1(2): 49-57.
[20] Pawlus D., 2016, Dynamic response control of three-layered annular plate due to various parameters of electrorheological core, The Journal of Committee on Machine Building of Polish Academy of Sciences 63(1): 73-91.
[21] Poortabib A., Maghsoudi M., 2014, The analytical solution for buckling of curved sandwich beams with a transversely flexible core subjected to uniform load, Structural Engineering and Mechanics 52(2): 323-349.
[22] Rafiee M., He X.Q., Liew K.M., 2014, Non-linear dynamic stability of piezoelectric functionally graded carbon nanotube-reinforced composite plates with initial geometric imperfection, International Journal of Non-Linear Mechanics 59: 37-51.
[23] Rakrak K., Zidour M., Heireche H., Anis Bousahla A., Chemi A., 2016, Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory, Advances in Nano Research 4(1): 31-44.
[24] Ramkumar K., Ganesan N., 2009, Vibration and damping of composite sandwich box column with viscoelastic/electrorheological fluid core and performance comparison, Materials and Design 30: 2981-2994.
[25] Rezaeepazhand J., Pahlavan L., 2008, Transient response of sandwich beams with electrorheological core, Journal of Intelligent Material Systems and Structures 20(2): 171-179.
[26] Shen H.S., Zhang C.L., 2012, Non-linear analysis of functionally graded fiber reinforced composite laminated plates, Part I: Theory and solutions, International Journal of Non-Linear Mechanics 47: 1045-1054.
[27] Sun C., Li F., Cheng H., Lu G., 2005, Axial Young’s modulus prediction of singlewalled carbon nanotube arrays with diameters from nanometer to meter scales, Applied Physics Letters 87: 193-101.
[28] Sun Y., Thomas M., 2011, Control of torsional rotor vibrations using an electrorheological fluid dynamic absorber, Journal of Vibration and Control 17(8): 1253-1264.
[29] Tabassian R., Rezaeepazhand J., 2013, Dynamic stability of smart sandwich beams with electro-rheological core resting on elastic foundation, Journal of Sandwich Structures and Materials 15(1): 25-44.
[30] Tang S.J., Lumsdaine A., 2008, Analysis of constrained damping layers, including normal-strain effects, AIAA Journal 46(12): 2998-3011.
[31] Thai H.T., Nguyen T.K., Vo T.P., Lee J., 2014, Analysis of functionally graded sandwich plates using a new first-order shear deformation theory, European Journal of Mechanics A/Solids 45: 211-225.
[32] Tounsi A., Benguediab S., Adda Bedia A., Semmah A., Zidour M., 2013, Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes, Advances in Nano Research 1(1): 1-11.
[33] Wei K., Meng G., Zhang W., Zhou S., 2007, Vibration characteristics of rotating sandwich beams filled with electrorheological fluids, Journal of Intelligent Material Systems and Structures 18: 1165-1173.
[34] Weiss K.D., Coulter J.P., Carlson J.D., 1993, Material aspects of electrorheological system, Journal of Intelligent Material Systems and Structures 4(1): 13-34.
[35] Yalcintas M., Coulter J.P., 1995, Electrorheological material based adaptive beams subjected to various boundary conditions, Journal of Intelligent Material Systems and Structures 6(5): 700-717.
[36] Yeh J.Y., Chen L.W., 2004, Vibration of a sandwich plate with a constrained layer and electrorheological fluid core, Composite Structures 65: 251-258.
[37] Yeh J.Y., Chen L.W., Wang C.C., 2004, Dynamic stability of a sandwich beam with a constrained layer and electrorheological fluid core, Composite Structures 64: 47-54.
[38] Ying Z. G., Ni Y.Q., Duan Y.F., 2017, Stochastic vibration suppression analysis of an optimal bounded controlled sandwich beam with MR visco-elastomer core, Smart Structures and Systems 19(1): 21-31.
