Influence of Viscoelastic Foundation on Dynamic Behaviour of the Double Walled Cylindrical Inhomogeneous Micro Shell Using MCST and with the Aid of GDQM

Subject Areas : Mechanical Engineering

A Mohammadi ¹ ( Faculty of Engineering, Department of Mechanics, Islamic Azad University of South Tehran Branch, Tehran, Iran )
H Lashini ² ( Faculty of Mechanic and Manufacturing, University Putra Malaysia, Serdang, Malaysia )
M Habibi ³ ( Center of Excellence in Design, Robotics and Automation, School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran )
H Safarpour ⁴ ( Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran )

Received: 2019-03-22 Accepted : 2019-05-18 Published : 2019-06-30

Keywords:

References:

[1] Reddy J., Chin C., 1998, Thermomechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses 21: 593-626.
[2] Loy C., Lam K., Reddy J., 1999, Vibration of functionally graded cylindrical shells, International Journal of Mechanical Sciences 41: 309-324.
[3] Pradhan S., Loy C., Lam K., Reddy J., 2000, Vibration characteristics of functionally graded cylindrical shells under various boundary conditions, Applied Acoustics 61: 111-129.
[4] Patel B., Gupta S., Loknath M., Kadu C., 2005,Free vibration analysis of functionally graded elliptical cylindrical shells using higher-order theory, Composite Structures 69: 259-270.
[5] 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.
[6] Zhi-Yuan C., Hua-Ning W., 2007, Free vibration of FGM cylindrical shells with holes under various boundary conditions, Journal of Sound and Vibration 306: 227-237.
[7] Haddadpour H., Mahmoudkhani S., Navazi H., 2007, Free vibration analysis of functionally graded cylindrical shells including thermal effects, Thin-walled Structures 45: 591-599.
[8] Farid M., Zahedinejad P., Malekzadeh P., 2010,Three-dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two-parameter elastic foundation using a hybrid semi-analytic, differential quadrature method, Materials & Design 31: 2-13.
[9] Rahaeifard M., Kahrobaiyan M., Ahmadian M., 2009, Sensitivity analysis of atomic force microscope cantilever made of functionally graded materials, International Design Engineering Technical Conferences and Computers and Information in Engineering Conference.
[10] Fu Y., Du H., Huang W., Zhang S., Hu M., 2004, TiNi-based thin films in MEMS applications: a review, Sensors and Actuators A: Physical 112: 395-408.
[11] Witvrouw A., Mehta A., 2005, The use of functionally graded poly-SiGe layers for MEMS applications, Materials Science Forum 2005: 255-260.
[12] Lee Z., Ophus C., Fischer L., Nelson-Fitzpatrick N., Westra K., Evoy S., 2006, Metallic NEMS components fabricated from nanocomposite Al–Mo films, Nanotechnology 17: 3063.
[13] Shojaeian M., Beni Y.T., 2015, Size-dependent electromechanical buckling of functionally graded electrostatic nano-bridges, Sensors and Actuators A: Physical 232: 49-62.
[14] Mescher M. J., Houston K., Bernstein J. J., Kirkos G. A., Cheng J., Cross L. E., 2002, Novel MEMS microshell transducer arrays for high-resolution underwater acoustic imaging applications, Proceedings of IEEE.
[15] Toupin R. A., 1962, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis 11: 385-414.
[16] Koiter W., 1964, Couple stresses in the theory of elasticity, Proceedings van de Koninklijke Nederlandse Akademie van Wetenschappen.
[17] Mindlin R. D., 1964, Micro-structure in linear elasticity, Archive for Rational Mechanics and Analysis 16: 51-78.
[18] Asghari M., Kahrobaiyan M., Rahaeifard M., Ahmadian M., 2011, Investigation of the size effects in Timoshenko beams based on the couple stress theory, Archive of Applied Mechanics 81: 863-874.
[19] Park S., Gao X., 2006, Bernoulli–Euler beam model based on a modified couple stress theory, Journal of Micromechanics and Microengineering 16: 2355.
[20] Reddy J., 2011, Microstructure-dependent couple stress theories of functionally graded beams, Journal of the Mechanics and Physics of Solids 59: 2382-2399.
[21] Shaat M., Mahmoud F., Gao X.-L., Faheem A. F., 2014, Size-dependent bending analysis of Kirchhoff nano-plates based on a modified couple-stress theory including surface effects, International Journal of Mechanical Sciences 79: 31-37.
[22] Miandoab E. M., Pishkenari H. N., Yousefi-Koma A., Hoorzad H., 2014, Polysilicon nano-beam model based on modified couple stress and Eringen’s nonlocal elasticity theories, Physica E: Low-dimensional Systems and Nanostructures 63: 223-228.
[23] Karami H., Farid M., 2015, A new formulation to study in-plane vibration of curved carbon nanotubes conveying viscous fluid, Journal of Vibration and Control 21: 2360-2371.
[24] Choi J., Song O., Kim S.-k., 2013, Nonlinear stability characteristics of carbon nanotubes conveying fluids, Acta Mechanica 224: 1383-1396.
[25] Zhang Y.-W., Yang T.-Z., Zang J., Fang B., 2013, Terahertz wave propagation in a nanotube conveying fluid taking into account surface effect, Materials 6: 2393-2399.
[26] Chang T.-P., 2013, Axial vibration of non-uniform and non-homogeneous nanorods based on nonlocal elasticity theory, Applied Mathematics and Computation 219: 4933-4941.
[27] Ali-Asgari M., Mirdamadi H. R., Ghayour M., 2013, Coupled effects of nano-size, stretching, and slip boundary conditions on nonlinear vibrations of nano-tube conveying fluid by the homotopy analysis method, Physica E: Low-dimensional Systems and Nanostructures 52: 77-85.
[28] Kiani K., 2013, Vibration behavior of simply supported inclined single-walled carbon nanotubes conveying viscous fluids flow using nonlocal Rayleigh beam model, Applied Mathematical Modelling 37: 1836-1850.
[29] Arani A. G., Ahmadi M., Ahmadi A., Rastgoo A., Sepyani H., 2012, Buckling analysis of a cylindrical shell, under neutron radiation environment, Nuclear Engineering and Design 242: 1-6.
[30] Ghorbanpour A., Mosallaie A. A., Kolahchi R., 2014, Nonlinear dynamic buckling of viscous-fluid-conveying PNC cylindrical shells with core resting on visco-pasternak medium 6(3): 265-277.
[31] Wattanasakulpong N., Ungbhakorn V., 2014, Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities, Aerospace Science and Technology 32: 111-120.
[32] Ghadiri M., Shafiei N., 2015, Nonlinear bending vibration of a rotating nanobeam based on nonlocal Eringen’s theory using differential quadrature method, Microsystem Technologies 22: 2853-2867.
[33] Daneshjou K., Talebitooti M., Talebitooti R., Googarchin H. S., 2013, Dynamic analysis and critical speed of rotating laminated conical shells with orthogonal stiffeners using generalized differential quadrature method, Latin American Journal of Solids and Structures 10: 349-390.
[34] Daneshjou K., Talebitooti M., Talebitooti R., 2013, Free vibration and critical speed of moderately thick rotating laminated composite conical shell using generalized differential quadrature method, Applied Mathematics and Mechanics 34: 437-456.
[35] Shu C., 2012, Differential Quadrature and its Application in Engineering, Springer Science & Business Media.
[36] Tadi Beni Y., Mehralian F., Zeighampour H., 2016, The modified couple stress functionally graded cylindrical thin shell formulation, Mechanics of Advanced Materials and Structures 23: 791-801.
[37] Ghadiri M., Safarpour H., 2016, Free vibration analysis of embedded magneto-electro-thermo-elastic cylindrical nanoshell based on the modified couple stress theory, Applied Physics A 122: 833.
[38] Barooti M. M., Safarpour H., M., 2017, Critical speed and free vibration analysis of spinning 3D single-walled carbon nanotubes resting on elastic foundations, The European Physical Journal Plus 132: 6.
[39] Ansari R., Gholami R., Rouhi H., 2012, Vibration analysis of single-walled carbon nanotubes using different gradient elasticity theories, Composites Part B: Engineering 43: 2985-2989.