Free Vibration Analysis of Continuously Graded Fiber Reinforced Truncated Conical Shell Via Third-Order Shear Deformation Theory

Subject Areas : Engineering

M.H Yas ¹ (Mechanical Engineering Department, Razi University, Kermanshah, Iran)
M Nejati ² (Mechanical Engineering Department, Razi University, Kermanshah, Iran)
A Asanjarani ³ (Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Iran)

Received: 2016-01-15 Accepted : 2016-03-20 Published : 2016-03-30

Keywords:

References:

[1] Malekzadeh P., 2009, Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations, Composite Structures 89: 367-373.
[2] Hosseini-Hashemi Sh., Rokni H., Damavandi T., Akhavan H., Omidi M., 2010, Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory, Applied Mathematical Modelling 34: 1276-1291.
[3] Pan E., Han F., 2005, Exact solution for functionally graded and layered magnetoelectro- elastic plates, International Journal of Engineering Science 43: 321-339.
[4] Yas M.H., Sobhani Aragh B., 2010, Free vibration analysis of continuously graded fiber reinforced plates on elastic foundation, International Journal of Engineering Science 48: 1881-1895.
[5] Chen W.Q., 2000, Vibration theory of non-homogeneous, spherically isotropic piezoelastic bodies, Journal of Sound and Vibration 229: 833-860.
[6] Chiroiu V., Munteanu L., 2007, On the free vibrations of a piezoceramic hollow sphere, Mechanics Research Communications 34: 123-129.
[7] Bahtui A., Eslami M.R., 2007, Coupled thermoelasticity of functionally graded cylindrical shells, Mechanics Research Communications 34: 1-18.
[8] Haddadpour H., Mahmoudkhani S., Navazi H.M., 2007, Free vibration analysis of functionally graded cylindrical shells including thermal effects, Thin-Walled Structures 45: 591-599.
[9] Sobhani Aragh B., Yas M.H., 2010, Static and free vibration analyses of continuously graded fiber-reinforced cylindrical shells using generalized power-law distribution, Acta Mechanica 215: 155-173.
[10] Sobhani Aragh B., Yas M.H., 2010, Three-dimensional analysis of thermal stresses in four-parameter continuous grading fiber reinforced cylindrical panels, International Journal of Mechanical Sciences 52: 1047-1063.
[11] Sobhani Aragh B., Yas M.H., 2010, Three-dimensional free vibration of functionally graded fiber orientation and volume fraction cylindrical panels, Materials & Design 31: 4543-4552.
[12] Yas M.H., Sobhani Aragh B., 2010, Three-dimensional analysis for thermoelastic response of functionally graded fiber reinforced cylindrical panel, Composite Structures 92: 2391-2399.
[13] Thambiratnam D., Zhuge Y., 1993, Axisymmetric free vibration analysis of conical shells, Engineering Structures 15(2): 83-89.
[14] Tong L., 1993, Free vibration of orthotropic conical shells, International Journal of Engineering Science 31(5): 719-733.
[15] Leissa A., 1993, Vibration of Shells, The Acoustic Society of America.
[16] Liew K.M., Lim C.W., 1994, Vibratory characteristics of cantilevered rectangular shallow shells of variable thickness, The American Institute of Aeronautics and Astronautics 32(3): 87-96.
[17] Liew K.M., Lim C.W.. 1994, Vibration of perforated doubly-curved shallow shells with rounded corners, International Journal of Solids and Structures 31(15): 19-36.
[18] Shu C., 1996, Free vibration analysis of composite laminated conical shells by generalized differential quadrature, Journal of Sound and Vibration 194: 587-604.
[19] Bardell N.S., Dunsdon J.M., Langley R.S., 1998, Free vibration of thin, isotropic, open, conical panels, Journal of Sound and Vibration 217: 297-320.
[20] Wang Y., Liu R., Wang X., 1999, Free vibration analysis of truncated conical shells by the Differential Quadrature Method, Journal of Sound and Vibration 224(2): 387-394.
[21] Sofiyev A.H., 2009, The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure, Composite Structures 89(3): 56-66.
[22] Liew K.M., Ng T.Y., Zhao X., 2005, Free vibration analysis of conical shells via the element-free kp-Ritz method, Journal of Sound and Vibration 281: 627-645.
[23] Bhangale R.K., Ganesan N., Padmanabhan C., 2006, Linear thermoelastic buckling and free vibration behavior of functionally graded truncated conical shells, Journal of Sound and Vibration 292: 341-371.
[24] Tornabene F., 2009, Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution, Computer Methods in Applied Mechanics and Engineering 198: 2911-2935.
[25] Malekzadeh P., Fiouz A.R., Sobhrouyan M., 2012, Three-dimensional free vibration of functionally graded truncated conical shells subjected to thermal environment, International Journal of Pressure Vessels and Piping 89: 210-221.
[26] Sofiyev A.H., 2012, The non-linear vibration of FGM truncated conical shells, Composite Structures 94: 2237-2245.
[27] Reddy J.N., 1984, A refined nonlinear theory of plates with transverse shear deformation, International Journal of Solids and Structures 20: 881-896.
[28] Lee Y.S., Lee K.D., 1997,On the dynamic response of laminated circular cylindrical shells under impulse loads, Computers & Structures 63(1): 149-157.
[29] Khalili S.M.R., Malekzadeh K., Davar A., Mahajan P., 2010, Dynamic response of pre-stressed fibre metal laminate (FML) circular cylindrical shells subjected to lateral pressure pulse loads, Composite Structures 92: 1308-1317.
[30] Vasiliev V.V., Morozov E.V., 2001, Mechanics and Analysis of Composite Materials, Elsevier Science.
[31] Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics, a review, Journal of Applied Mechanic 49: 1-27.
[32] Irie T., Yamada G., Tanaka K., 1984, Natural frequencies of truncated conical shells, Journal of Sound and Vibration 92: 447-453.