Free Vibration Analysis of Functionally Graded Piezoelectric Material Beam by a Modified Mesh Free Method

Subject Areas : Engineering

M Foroutan ¹ (Department of Mechanical Engineering, Razi University, Kermanshah, Iran)
Sh Sharafi ² (Department of Mechanical Engineering, Razi University, Kermanshah, Iran)
S Mohammadi ³ (Department of Mechanical Engineering, Razi University, Kermanshah, Iran)

Received: 2018-11-09 Accepted : 2019-01-07 Published : 2019-03-30

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References:

[1] Sharma P., Parashar S.K., 2016, Free vibration analysis of shear-induced flexural vibration of FGPM annular plate using Generalized Differential Quadrature method, Composite Structures 155: 213-222.
[2] Kruusing A., 2000, Analysis and optimization of loaded cantilever beam microactuators, Smart Materials and Structures 9(2): 186.
[3] Hauke T., 2000, Bending behavior of functionally gradient materials, Ferroelectrics 238(1): 195-202.
[4] Huang D., Ding H., Chen W., 2010, Static analysis of anisotropic functionally graded magneto-electro-elastic beams subjected to arbitrary loading, European Journal of Mechanics-A/Solids 29(3): 356-369.
[5] Li Y., Feng W., Cai Z., 2014, Bending and free vibration of functionally graded piezoelectric beam based on modified strain gradient theory, Composite Structures 115: 41-50.
[6] Wu C.-P., Syu Y.-S., 2007, Exact solutions of functionally graded piezoelectric shells under cylindrical bending, International Journal of Solids and Structures 44(20): 6450-6472.
[7] Li X.-F., Peng X.-L., Lee K.Y., 2010, The static response of functionally graded radially polarized piezoelectric spherical shells as sensors and actuators, Smart Materials and Structures 19(3): 035010.
[8] Hsu M.-H., 2005, Electromechanical analysis of piezoelectric laminated composite beams, Journal of Marine Science and Technology 13(2): 148-155.
[9] Razavi H., Babadi A.F., Beni Y.T., 2017, Free vibration analysis of functionally graded piezoelectric cylindrical nanoshell based on consistent couple stress theory, Composite Structures 160: 1299-1309.
[10] Zhang T., Shi Z., Spencer Jr B., 2008, Vibration analysis of a functionally graded piezoelectric cylindrical actuator, Smart Materials and Structures 17(2): 025018.
[11] Xiang H., Shi Z., 2009, Static analysis for functionally graded piezoelectric actuators or sensors under a combined electro-thermal load, European Journal of Mechanics-A/Solids 28(2): 338-346.
[12] Doroushi A., Eslami M., Komeili A., 2011, Vibration analysis and transient response of an FGPM beam under thermo-electro-mechanical loads using higher-order shear deformation theory, Journal of Intelligent Material Systems and Structures 22(3): 231-243.
[13] Behjat B., Khoshravan M., 2012, Geometrically nonlinear static and free vibration analysis of functionally graded piezoelectric plates, Composite Structures 94(3): 874-882.
[14] Sedighi M., Shakeri M., 2009, A three-dimensional elasticity solution of functionally graded piezoelectric cylindrical panels, Smart Materials and Structures 18(5): 055015.
[15] Behjat B., 2009, Static, dynamic, and free vibration analysis of functionally graded piezoelectric panels using finite element method, Journal of Intelligent Material Systems and Structures 20(13): 1635-1646.
[16] Babaei M., Chen Z., 2009, The transient coupled thermo-piezoelectric response of a functionally graded piezoelectric hollow cylinder to dynamic loadings, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences.
[17] Liu G., Gu Y., 2005, An Introduction to Meshfree Methods and Their Programming, Springer, Dordrecht, Netherlands.
[18] Nayroles B., Touzot G., Villon P., 1992, Generalizing the finite element method: diffuse approximation and diffuse elements, Computational Mechanics 10(5): 307-318.
[19] Chuaqui T., Roque C., 2017, Analysis of functionally graded piezoelectric timoshenko smart beams using a multiquadric radial basis function method, Composite Structures 176: 640-653.
[20] Safaei B., Moradi-Dastjerdi R., Chu F., 2018, Effect of thermal gradient load on thermo-elastic vibrational behavior of sandwich plates reinforced by carbon nanotube agglomerations, Composite Structures 192: 28-37.
[21] Moradi-Dastjerdi R., Pourasghar A., 20216, Dynamic analysis of functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube under an impact load, Journal of Vibration and Control 22(4): 1075-1062.
[22] Moradi-Dastjerdi R., Payganeh G., 2017, Thermoelastic dynamic analysis of wavy carbon nanotube reinforced cylinders under thermal loads, Steel and Composite Structures 25(3): 315-326.
[23] Reddy J., Chin C., 1998, Thermomechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses 21(6): 593-626.