Influence of the Elastic Foundation on the Free Vibration and Buckling of Thin-Walled Piezoelectric-Based FGM Cylindrical Shells Under Combined Loadings
Subject Areas : EngineeringM Mohammadimehr 1 , M Moradi 2 , A Loghman 3
1 - Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan
2 - Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan
3 - Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan
Keywords:
Abstract :
[1] Yamanouchi M., Koizumi M., Hirai T., Shiota I., 1990, Functionally gradient materials, Proceedings of the first International Symposium on Functionally Gradient Materials 327-332.
[2] Koizumi M., 1993, The concept of FGM ceramic transactions, Functionally Graded Materials 34: 3-10.
[3] Pasternak P., 1954, On a New Method of Analysis of an Elastic Foundation by Means of Two Foundation Constants, Gosudarstvenneo Izdatelstvo Literaturi po Stroitelstvu Arkhitekture, Moscow, USSR.
[4] Loy CT., Lam KY., Reddy JN., 1999, Vibration of functionally graded cylindrical shells, International Journal of Mechanical Sciences 41: 309-324.
[5] Pradhan SC., Loy CT., Lam KY., Reddy JN., 2000, Vibration characteristics of functionally graded cylindrical shells under various boundary conditions, Applied Acoustics 61: 111-129.
[6] Najafizadeh M.M., Isvandzibaei M.R., 2007, Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support, Acta Mechanica 191: 75-91.
[7] Shah AG., Mahmood T., Naeem MN., Iqbal Z., Arshad SH., 2009, Vibrations of functionally graded cylindrical shells based on elastic foundations, Acta Mechanica 211: 293-307.
[8] Bhangale RK., 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.
[9] Kadoli R., Ganesan N., 2006, Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition, Journal of Sound and Vibration 289: 450-480.
[10] Malekzadeh P., Heydarpour Y., 2012, Free vibration analysis of rotating functionally graded cylindrical shells in thermal environment, Composite Structures 94: 2971-2981.
[11] Ebrahimi MJ., Najafizadeh MM., 2014, Free vibration analysis of two-dimensional functionally graded cylindrical shells, Applied Mathematical Modelling 38: 308-324.
[12] Sheng GG., Wang X., 2013, Nonlinear vibration control of functionally graded laminated cylindrical shells, Composites Part B: Engineering 52: 1-10.
[13] Du C., Li Y., 2013, Nonlinear resonance behavior of functionally graded cylindrical shells in thermal environments, Composite Structures 102: 164-174.
[14] Sofiyev AH., Kuruoglu N., 2013, Torsional vibration and buckling of the cylindrical shell with functionally graded coatings surrounded by an elastic medium, Composites Part B: Engineering 45: 1133-1142.
[15] Sheng GG., Wang X., 2013, An analytical study of the non-linear vibrations of functionally graded cylindrical shells subjected to thermal and axial loads, Composite Structures 97: 261-268.
[16] Rafiee M., Mohammadi M., Aragh BS., Yaghoobi H., 2013, Nonlinear free and forced thermo-electro-aero-elastic vibration and dynamic response of piezoelectric functionally graded laminated composite shells, Composite Structures 103: 188-196.
[17] Ghorbanpour Arani A., Bakhtiari R., Mohammadimehr M., Mozdianfard M.R., 2011, Electromagnetomechanical responses of a radially polarized rotating functionally graded piezoelectric shaft, Turkish Journal of Engineering & Environmental Sciences 36(1): 33-44.
[18] Khoshgoftar MJ., Ghorbanpour Arani A., Arefi M., 2009, Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material, Smart Material Structures 18: 115007-115015.
[19] Sheng GG., Wang X., 2010, Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells, Applied Mathematical Modelling 34: 2630-2643.
[20] Fernandes A., Pouget J., 2006, Structural response of composite plates equipped with piezoelectric actuators, Computer and Structures 84: 1459-1470.
[21] Bagherizadeh E., Kiani Y., Eslami M.R., 2011, Mechanical buckling of functionally graded material cylindrical shells surrounded by Pasternak elastic foundation, Composite Structures 93: 3063-3071.
[22] Pouresmaeeli S., Fazelzadeh S.A., Ghavanloo E., 2012, Exact solution for nonlocal vibration of double-orthotropic nanoplates embedded in elastic medium, Composites Part B: Engineering 43: 3384-3390.
[23] Jafari A.A., Khalili S.M.R., Azarafza R., 2005, Transient dynamic response of composite circular cylindrical shells under radial impulse load and axial compressive loads, Thin-Walled Structures 43: 1763-1786.
[24] Dong K., Wang X., 2007, Wave propagation characteristics in piezoelectric cylindrical laminated shells under large deformation, Composite Structures 77: 171-181.
[25] Ghorbanpour Arani A., Fesharaki J.J., Mohammadimehr M., Golabi S., 2010, Electro-magneto-thermo-mechanical behaviors of a radially polarized FGPM thick hollow sphere, Journal of Solid Mechanics 2: 305-315.
[26] Heyliger P., 1997, A note on the static behavior of simply supported laminated piezoelectric cylinders, International Journal of Solid and Structures 34: 3781-3794.
[27] He Y., 2004, Heat capacity, thermal conductivity, and thermal expansion of barium titanate-based ceramics, Thermochimica Acta 419: 135-141.
[28] Ramirez F., Heyliger P.R., Pan E., 2006, Free vibration response of two-dimensional magneto-electro-elastic laminated plates, Journal of Sound and Vibrations 292: 626-644.
[29] Arani A.G., Jafarzadeh Jazi A., Abdollahian M., Mozdianfard M.R., Mohammadimehr M., Amir S., Exact solution for electrothermoelastic behaviors of a radially polarized FGPM Rotating Disk, Journal of Solid Mechanics 3: 244-257.
[30] Timoshenko S.P., 1922, On the transverse vibrations of bars of uniform cross-section, Philosophical Magazine 43: 125-131.