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http://dx.doi.org/10.12989/sss.2015.15.5.1345

The effect of different functionalities of FGM and FGPM layers on free vibration analysis of the FG circular plates integrated with piezoelectric layers  

Arefi, M. (Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan)
Publication Information
Smart Structures and Systems / v.15, no.5, 2015 , pp. 1345-1362 More about this Journal
Abstract
The present paper deals with the free vibration analysis of the functionally graded solid and annular circular plates with two functionally graded piezoelectric layers at top and bottom subjected to an electric field. Classical plate theory (CPT) is used for description of the all deformation components based on a symmetric distribution. All the mechanical and electrical properties except Poisson's ratio can vary continuously along the thickness direction of the plate. The properties of plate core can vary from metal at bottom to ceramic at top. The effect of non homogeneous index of functionally graded and functionally graded piezoelectric sections can be considered on the results of the system. $1^{st}$ and $2^{nd}$ modes of natural frequencies of the system have been evaluated for both solid and annular circular plates, individually.
Keywords
circular plate; free vibration; functionally graded piezoelectric material; natural frequency;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 GhannadPour, S.A.M. and Alinia, M.M. (2006), "Large deflection behavior of functionally graded plates under pressure loads", Compos. Struct., 75(1-4), 67-71.   DOI
2 Huang, X.L. and Shen, H.S. (2006), "Vibration and dynamic response of functionally graded plates with piezoelectric actuators in thermal environments", J. Sound. Vib., 289(1-2), 25-53.   DOI
3 Hosseinzadeh, A. and Ahmadian, M.T. (2010), "Application of piezoelectric and functionally graded materials in designing electrostatically actuated micro switches", J. Solid. Mech., 2(2), 179-189.
4 Kadoli, R. and Ganesan, N. (2006), "Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition", J. Sound. Vib., 289(3), 450-480.   DOI
5 Bhangale, R.K., Ganesan, N. and Padmanabhan, C. (2006), "Linear thermoelastic buckling and free vibration behavior of functionally graded truncated conical shells", J. Sound. Vib., 292(1-2), 341-371.   DOI
6 Khabbaz, R.S., Manshadi, B.D. and Abedian, A. (2009), "Non-linear analysis of FGM plates under pressure loads using the higher-order shear deformation theories", Compos. Struct., 89(3), 333-344.   DOI
7 Khoshgoftar, M.J., Arani, A.G. and Arefi, M. (2009), "Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material", Smart. Mater. Struct., 18(11), 115007 (8pp).   DOI
8 Lai, M., Rubin, D. and Krempl, E. (1999), Introduction to Continuum Mechanics, Buttenvorth-Heinemann.
9 Li, Q., Iu, V.P. and Kou, K.P. (2008), "Three-dimensional vibration analysis of functionally graded material sandwich plates", J. Sound. Vib., 311, 498-515.   DOI
10 Ugural, A.C. (1981), Stress in plate and shells, McGraw-Hill.
11 Woo, J. and Meguid, S.A. (2001), "Nonlinear analysis of functionally graded plates and shallow shells", Int. J. Solids. Struct., 38(42-43), 7409-7421.   DOI
12 Yamanouchi, M., Koizumi, M. and Shiota, I. (1990), Proceedings of the First International Symposium on Functionally Gradient Materials, Sendai, Japan.
13 Zylkaa, P. and Janus, P. (2010), "Applicability of MEMS cantilever micro-dilatometer for direct transverse strain monitoring in electroactive polymers", Sensor. Actuat. A- Phys., 163(1), 111-117.   DOI
14 Arefi, M. and Rahimi, G.H. (2011), "Non linear analysis of a functionally graded square plate with two smart layers as sensor and actuator under normal pressure", Smart. Struct. Syst., 8(5) 433-448.   DOI
15 Alinia, M.M. and Ghannadpour, S.A.M. (2009), "Nonlinear analysis of pressure loaded FGM plates", Compos. Struct., 88(3), 354-359.   DOI
16 Allahverdizadeh, A., Naei, M.H. and Bahrami, M.N. (2008a), "Vibration amplitude and thermal effects on the nonlinear behavior of thin circular functionally graded plates", Int. J. Mech. Sci. 50(3), 445-454.   DOI
17 Allahverdizadeh, A., Naei, M.H. and Bahrami, M.N, (2008b), "Nonlinear free and forced vibration analysis of thin circular functionally graded plates", J. Sound. Vib. 310(4-5), 966-984.   DOI
18 Arefi, M., Rahimi, G.H. and Khoshgoftar, M.J. (2011), "Optimized design of a cylinder under mechanical, magnetic and thermal loads as a sensor or actuator using a functionally graded piezomagnetic material", Int. J. Phys. Sci., 6(27), 6315-6322.
19 Arefi, M. and Rahimi, G.H. (2012a), "Three-dimensional multi-field equations of a functionally graded piezoelectric thick shell with variable thickness, curvature and arbitrary nonhomogeneity", Acta. Mech. 223(1), 63-79.   DOI
20 Arefi, M. and Rahimi, G.H. (2012b), "Studying the nonlinear behavior of the functionally graded annular plates with piezoelectric layers as a sensor and actuator under normal pressure", Smart. Struct. Syst., 9(2), 127-143.   DOI
21 Banerjee, A., Bhattacharya, B. and Mallik, A.K. (2008), "Large deflection of cantilever beams with geometric nonlinearity: Analytical and numerical approaches", Int. J. Nonlinear. Mech., 43(5), 366-376.   DOI
22 Arefi, M. and Rahimi, G.H. (2012c), "The effect of nonhomogeneity and end supports on the thermo elastic behavior of a clamped-clamped FG cylinder under mechanical and thermal loads". Int. J. Pres. Ves. Piping., 96-97, 30-37.   DOI
23 Arefi, M. and Rahimi, G.H. (2012d), "Comprehensive thermoelastic analysis of a functionally graded cylinder with different boundary conditions under internal pressure using first order shear deformation theory", Mechanika, 18(1), 5-13.
24 Arefi, M., Rahimi, G.H. and Khoshgoftar, M.J. (2012), "Electro elastic analysis of a pressurized thick-walled functionally graded piezoelectric cylinder using the first order shear deformation theory and energy method", Mechanika., 18(3), 292-300.
25 Boresi, A. (1993), Advanced Mechanics of Materials, John Wiley & Sons.
26 Chen, W.Q., Bian, Z.G. and Ding, H.J. (2004), "Three-dimensional vibration analysis of fluid-filled orthotropic FGM cylindrical shells", Int. J. Mech. Sci., 46(1), 159-171.   DOI
27 Ebrahimi, F. and Rastgo, A. (2008), "An analytical study on the free vibration of smart circular thin FGM plate based on classical plate theory", Thin. Wall. Struct., 46(12), 1402-1408.   DOI
28 Efraim, E. and Eisenberger, M. (2007), "Exact vibration analysis of variable thickness thick annular isotropic and FGM plates", J. Sound. Vib., 299(4-5), 720-738.   DOI   ScienceOn
29 Gautschi, G. (2002), Piezoelectric Sensorics: Force, Strain, Pressure, Acceleration and Acoustic Emission Sensors, Materials and Amplifiers, Springer.
30 Liew, K.M., Yang, J. and Wu, Y.F. (2006), "Nonlinear vibration of a coating-FGM-substrate cylindrical panel subjected to a temperature gradient", Comput. Method. Appl. M., 195(9-12), 1007-1026.   DOI
31 Malekzadeh, P. and Vosoughi, A.R. (2009), "DQM large amplitude vibration of composite beams on nonlinear elastic foundations with restrained edges", Com. Nonlinear. Sci. Num. Sim., 14(3), 906-915.   DOI
32 Olfatnia, M., Xu, T., Miao, J.M., Ong, L.S., Jing, X.M. and Norford, L. (2010), "Piezoelectric circular microdiaphragm based pressure sensors", Sensor. Actuat. A- Phys., 163(1), 32-36.   DOI
33 Qian, Z.H., Jin, F., Lu, T. and Kishimoto, K. (2008), "Transverse surface waves in functionally graded piezoelectric materials with exponential variation", Smart. Mater. Struct., 17(6), 065005 (7pp).   DOI   ScienceOn
34 Prakash, T. and Ganapathi, M. (2006), "Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method", Compos. Part B: Eng., 37(7-8), 642-649.   DOI
35 Rahimi, G.H., Arefi, M. and Khoshgoftar, M.J. (2011), "Application and analysis of functionally graded piezoelectrical rotating cylinder as mechanical sensor subjected to pressure and thermal loads", Appl. Math. Mech. (Engl. Ed.) 32(8), 997-1008.   DOI
36 Shen, H.S. (2007), "Nonlinear thermal bending response of FGM plates due to heat conduction", Compos.. Part B: Eng., 38(2), 201-215.   DOI
37 Soufyane, A. (2009), "Exponential stability of the linearized non uniform Timoshenko beam", Nonlinear. Anal-Real, 10(2), 1016-1020.   DOI
38 Tichy, J., Erhart, J., Kittinger, E. and Privratska, J. (2010), Fundamentals of Piezoelectric Sensorics: Mechanical, Dielectric, and Thermodynamical Properties of Piezoelectric Materials, Springer.