This article is the result of an investigation on the effect of thermal load on vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium, based on the first-order shear deformation theory (FSDT) considering rotary inertia and the transverse shear strains. A heat conduction equation along the width of the shell is applied to determine the temperature distribution. Material properties are assumed to be graded with distribution along the width according to a power-law in terms of the volume fractions of the constituents. Calculations, effects of material composition, thermal loading, static axial loading, medium stiffness and shell geometry parameters on vibration, buckling and the parametric resonance are described. The new features of thermal vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium and some meaningful and interesting results in this paper are helpful for the application and design of functionally graded structures under thermal and mechanical loads.
Reddy, J.N. (2004) Mechanics of Laminated Composite Plates and Shells , Second Edition, CRC Press , New York.
2.
Liew, K.M., Yang, J. and Kitipornchai S. (2003) Postbuckling of Piezoelectric FGM Plates Subject to Thermo-electromechanical Loading, International Journal of Solids and Structures,40: 3869—3892.
3.
Kitipornchai, S., Yang J., and Liew, K.M. (2004) Semi-analytical Solution for Nonlinear Vibration of Laminated FGM Plates with Geometric Imperfections , International Journal of Solids and Structures,41: 2235—2257.
4.
Yang, J., Kitipornchai, S. and Liew, K.M. (2003) Large Amplitude Vibration of Thermo-electroMechanically Stressed FGM Laminated plates, Computer Methods in Applied Mechanics and Engineering, 192: 3861—3885.
5.
Yang, J., Liew, K.M. and Kitipornchai, S. (2004) Dynamic Stability of Laminated FGM Plates Based on Higher-order Shear Deformation Theory, Computational Mechanics33: 305—315.
6.
Loy, C.T. , Lam, K.Y. and Reddy, J.N. (1999) Vibration of Functionally Graded Cylindrical Shells, International Journal of Mechanical Sciences, 41: 309—324.
7.
Pradhan, S.C. , Loy, C.T., Lam, K.Y. and Reddy, J.N. (2000) Vibration Characteristics of Functionally Graded Cylindrical Shells Under Various Boundary Conditions , Applied Acoustics,61: 119—129.
8.
Gong, S.W., Lam, K.Y. and Reddy, J.N. (1999) The Elastic Response of Functionally Graded Cylindrical Shells to Low-velocity Impact, International Journal of Impact Engineering, 22: 397—417.
9.
Ng, T.Y. , Lam, K.M., Liew, K.M. and Reddy J.N. (2001) Dynamic Stability Analysis of Functionally Graded Cylindrical Shells under Periodic Axial Loading, International Journal of Solids and Structures,38: 1295—1309.
10.
Jafari, A.A. , Khalili, S.M.R. and 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.
11.
Bhangale, R.K. and 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.
12.
Sofiyev, A.H. (2005) The Stability of Compositionally Graded Ceramic—Metal Cylindrical Shells under a Periodic Axial Impulsive Loading, Composite Structures,69: 247—257.
13.
Reddy, J.N. and Chin, C.D. (1998) Thermomechanical Analysis of Functionally Graded Cylinders and Plates, Journal of Thermal Stresses,21: 593—626.
14.
Liew, K.M., Kitipornchai, S., Zhang, X.Z. and Lim, C.W. (2003) Analysis of the Thermal Stress Behavior of Functionally Graded Hollow Circular Cylinders, International Journal of Solids and Structures,40: 2355—2380.
15.
Eslami, M.R. and Javaheri, R. (1999) Buckling of Composite Cylindrical Shells under Mechanical and Thermal Loads, Journal of Thermal Stresses,22: 527—545.
16.
Shahsiah, R. and Eslami, M.R. (2003) Functionally Graded Cylindrical Shell Thermal Instability Based on Improved Donnell Equations, AIAA J, 41: 19—26.
17.
Woo, J., Meguid, S.A., Stranart, J.C. and Liew, K.M. (2005) Thermomechanical Postbucklinganalysis of Moderately Thick Functionally Graded Plates and Shallow Shells, International Journal of Mechanical Sciences, 47: 1147—1171.
18.
Ravikiran, K. and 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.
19.
Dai, H.L. and Wang, X. (2004) Dynamic Responses of Piezoelectric Hollow Cylinders in an Axial Magnetic Field, Int. J. Solids and Structures, 41: 5231—546.
20.
Dai, H.L. and Wang, X. (2005) Thermo-electro-elastic Transient Responses in Piezoelectric Hollow Structures, International Journal of Solids and Structures,42: 1151—1171.
21.
Wang, X., Zhang, Y.C. and Dai, H.L. (2005) Critical Strain for a Local Elliptical Delamination near the Surface of a Cylindrical Laminated Shell under Hydrothermal Effects , Composite Structures,67: 491—499.
22.
Wang, X. and Dai, H.L. (2003) Thermal Buckling For Local Delamination Near The Surface Of Laminated Cylindrical Shells And Delaminated Growth, Journal of Thermal Stresses,26: 423—442.
23.
Paliwal, D.N. , Kanagasabapathy, H. and Gupta, K.M. (1995) The Large Deflection of an Orthotropic Cylindrical Shell on a Pasternak Foundation, Computers and Structures, 31: 31—37.
24.
Paliwal D.N. , Pandey, R.K. and Nath, T. (1996) Free Vibrations of Circular Cylindrical Shell on Winkler and Pasternak Foundation, International Journal of Pressure Vessels and Piping,69: 79—89.
25.
Haryadi, Gunawan Tj, Takashi Mikami, Shunji Kanie, and Motohiro Sato. (2006) Free Vibration Characteristics of Cylindrical Shells Partially Buried in Elastic Foundations, Journal of Sound and Vibration,290: 785—793.
26.
Bolotin, V.V. (1964) The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco.
27.
Timoshenko, S.P. and Gere, J.M. (1961) Theory of Elastic Stability , McGraw-Hill, New York.
