Free Vibration and Transient Response of Heterogeneous Piezoelectric Sandwich Annular Plate Using Third-Order Shear Deformation Assumption
Subject Areas : EngineeringP Roodgar Saffari 1 , M Fakhraie 2 , M.A Roudbari 3
1 - Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran
2 - Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran
3 - Department of Mechanical Engineering, University of Guilan, Rasht, Iran---
Department of Civil Engineering, Zhejiang University, Hangzhou 310058, People’s Republic of China, China
Keywords:
Abstract :
[1] Liu X., Wang Q., Quek S.T., 2002, Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates, International Journal of Solids and Structures 39: 2129-2151.
[2] Dash P., Singh B.N., 2009, Nonlinear free vibration of piezoelectric laminated composite plate, Finite Elements in Analysis and Design 45: 686-694.
[3] Phung-Van P., De Lorenzis L., Thai C.H., 2015, Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite elements, Computational Materials Science 96: 495-505.
[4] Kuang J-H., Hsu C-M., Lin A-D., 2016, Determination of piezoelectric parameters from the measured natural frequencies of a piezoelectric circular plate, Integrated Ferroelectrics 168: 36-52.
[5] Shu H., Liu W., Li S., 2016, Research on flexural wave band gap of a thin circular plate of piezoelectric radial phononic crystals, Journal of Vibration and Control 22: 1777-1789.
[6] Khorshidvand A.R., Joubaneh E.F., Jabbari M., 2014, Buckling analysis of a porous circular plate with piezoelectric sensor–actuator layers under uniform radial compression, Acta Mechanica 225: 179-193.
[7] Farzaneh Joubaneh E., Mojahedin A., Khorshidvand A., 2015, Thermal buckling analysis of porous circular plate with piezoelectric sensor-actuator layers under uniform thermal load, Journal of Sandwich Structures and Materials 17: 3-25.
[8] Duc N.D., Cong P.H., Quang V.D., 2016, Nonlinear dynamic and vibration analysis of piezoelectric eccentrically stiffened FGM plates in thermal environment, International Journal of Mechanical Sciences 115-116: 711-722.
[9] Hayashi M., Koyama D., Matsukawa M., 2016, Piezoelectric particle counter using the resonance vibration modes of a circular plate, Journal of the Acoustical Society of America 140: 3035-3035.
[10] Arefi M., 2015, Nonlinear electromechanical stability of a functionally graded circular plate integrated with functionally graded piezoelectric layers, Latin American Journal of Solids and Structures 12: 1653-1665.
[11] Fesharaki J.J., Madani S.G., Golabi S., 2017, Investigating the effect of stiffness/thickness ratio on the optimal location of piezoelectric actuators through PSO algorithm, Journal of Solid Mechanics 9: 832-848.
[12] Karami Khorramabadi M., 2009, Free vibration of functionally graded beams with piezoelectric layers subjected to axial load, Journal of Solid Mechanics 1: 22-28.
[13] Mohammadimehr M., Mohandes M., 2015, The effect of modified couple stress theory on buckling and vibration analysis of functionally graded double-layer boron nitride piezoelectric plate based on CPT, Journal of Solid Mechanics 7: 281-298.
[14] Hosseini M., Bahreman M., Jamalpoor A., 2017, Thermomechanical vibration analysis of FGM viscoelastic multi-nanoplate system incorporating the surface effects via nonlocal elasticity theory, Microsystem Technologies 23: 3041-3058.
[15] Bhangale R.K., Ganesan N., 2005, Free vibration studies of simply supported non-homogeneous functionally graded magneto-electro-elastic finite cylindrical shells, Journal of Sound and Vibration 288: 412-422.
[16] Yang T., Zheng W., Huang Q., 2016, Sound radiation of functionally graded materials plates in thermal environment, Composite Structures 144: 165-176.
[17] Su Z., Jin G., Ye T., 2018, Electro-mechanical vibration characteristics of functionally graded piezoelectric plates with general boundary conditions, International Journal of Mechanical Sciences 138-139: 42-53.
[18] Kiani Y., 2016, Free vibration of functionally graded carbon nanotube reinforced composite plates integrated with piezoelectric layers, Computers & Mathematics with Applications 72: 2433-2449.
[19] Barati M.R., Zenkour A.M., 2018, Electro-thermoelastic vibration of plates made of porous functionally graded piezoelectric materials under various boundary conditions, Journal of Vibration and Control 24: 1910-1926.
[20] Seibert H.F., 2006, Applications for PMI foams in aerospace sandwich structures, Reinforced Plastics 50: 44-48.
[21] 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 facesheets, Composite Structures 113: 197-207.
[22] Santos Silva J., Dias Rodrigues J., Moreira R.A.S., 2010, Application of cork compounds in sandwich structures for vibration damping, Journal of Sandwich Structures and Materials 12: 495-515.
[23] Vinson J.R., 2001, Sandwich structures, Applied Mechanics Reviews 54: 201.
[24] El Meiche N., Tounsi A., Ziane N., 2011, A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate, International Journal of Mechanical Sciences 53: 237-247.
[25] Hadji L., Atmane H.A., Tounsi A., 2011, Free vibration of functionally graded sandwich plates using four-variable refined plate theory, Applied Mathematics and Mechanics 32: 925-942.
[26] Dinh Duc N., Hong Cong P., 2018, Nonlinear thermo-mechanical dynamic analysis and vibration of higher order shear deformable piezoelectric functionally graded material sandwich plates resting on elastic foundations,Journal of Sandwich Structures and Materials 20: 191-218.
[27] Alibeigloo A., 2017, Three dimensional coupled thermoelasticity solution of sandwich plate with FGM core under thermal shock, Composite Structures 177: 96-103.
[28] Fatahi-Vajari A., Imam A., 2016, Lateral vibrations of single-layered graphene sheets using doublet mechanics, Journal of Solid Mechanics 8: 875-894.
[29] Fazzolari F.A., 2016, Stability analysis of FGM sandwich plates by using variable-kinematics Ritz models, Mechanics of Advanced Materials and Structures 23: 1104-1113.
[30] Arefi M., Mohammad-Rezaei Bidgoli E., Zenkour A.M., 2018, Free vibration analysis of a sandwich nano-plate including FG core and piezoelectric face-sheets by considering neutral surface, Mechanics of Advanced Materials and Structures 2018: 1-12.
[31] Hosseini M., Jamalpoor A., 2015, Analytical solution for thermomechanical vibration of double-viscoelastic nanoplate-systems made of functionally graded materials, Journal of Thermal Stresses 38: 1428-1456.
[32] Sahmani S., Bahrami M., Ansari R., 2014, Surface effects on the free vibration behavior of postbuckled circular higher-order shear deformable nanoplates including geometrical nonlinearity, Acta Astronautica 105: 417-427.
[33] Ansari R., Torabi J., Hasrati E., 2018, Axisymmetric nonlinear vibration analysis of sandwich annular plates with FG-CNTRC face sheets based on the higher-order shear deformation plate theory, Aerospace Science and Technology 77: 306-319.
[34] Ashoori A.R., Vanini S.A.S., Salari E., 2017, Size-dependent axisymmetric vibration of functionally graded circular plates in bifurcation/limit point instability, Applied Physics A 123: 226.
[35] Arefi M., Zamani M., Kiani M., 2018, Size-dependent free vibration analysis of three-layered exponentially graded nanoplate with piezomagnetic face-sheets resting on Pasternak’s foundation, Journal of Intelligent Materials Systems and Structures 29: 774-786.
[36] Mohammadimehr M., Emdadi M., Afshari H., 2017, Bending, buckling and vibration analyses of MSGT microcomposite circular-annular sandwich plate under hydro-thermo-magneto-mechanical loadings using DQM, International Journal of Smart and Nano Materials 2017: 1-28.
[37] Eshraghi I., Dag S., Soltani N.,2015, Consideration of spatial variation of the length scale parameter in static and dynamic analyses of functionally graded annular and circular micro-plates, Composites Part B: Engineering 78: 338-348.
[38] Liew K.M., Xiang Y., Kitipornchai S., 2018, Vibration of Mindlin Plates : Programming the P-Version Ritz Method, Elsevier.
[39] Ebrahimi F., Rastgoo A., 2008, Free vibration analysis of smart annular FGM plates integrated with piezoelectric layers, Smart Materials and Structures 17: 015044.
