Stress Analysis of Rotating Thick Truncated Conical Shells with Variable Thickness under Mechanical and Thermal Loads

Subject Areas : Engineering

M Jabbari ¹ , M Zamani Nejad ² , M Ghannad ³

1 - Mechanical Engineering Department, Yasouj University, P.O.Box: 75914-353, Yasouj, Iran
2 - Mechanical Engineering Department, Yasouj University, P.O.Box: 75914-353, Yasouj, Iran
3 - Mechanical Engineering Faculty, Shahrood University, Shahrood, Iran

Received: 2016-11-03 Accepted : 2017-01-02 Published : 2017-03-30

Keywords:

References:

[1] Eipakchi H. R., Khadem S. E., Rahimi G. H., 2008, Axisymmetric stress analysis of a thick conical shell with varying thickness under nonuniform internal pressure, Journal of Engineering Mechanics 134(8): 601-610.
[2] Nejad M. Z., Jabbari M., Ghannad M., 2015, Elastic analysis of axially functionally graded rotating thick cylinder with variable thickness under non-uniform arbitrarily pressure loading, International Journal of Engineering Science 89: 86-99.
[3] Ghasemi A. R., Kazemian A., Moradi M., 2014, Analytical and numerical investigation of FGM pressure vessel reinforced by laminated composite materials, Journal of Solid Mechanics 6(1): 43-53.
[4] Nejad M. Z., Jabbari M., Ghannad M., 2015, Elastic analysis of rotating thick cylindrical pressure vessels under non-uniform pressure: linear and non-linear thickness, Periodica Polytechnica Engineering, Mechanical Engineering 59(2): 65-73.
[5] Witt F.J., 1965, Thermal stress analysis of conical shells, Nuclear Structure Engineering 1(5): 449-456.
[6] Panferov I. V., 1991, Stresses in a transversely isotropic conical elastic pipe of constant thickness under a thermal load, Journal of Applied Mathematics and Mechanics 56(3): 410-415.
[7] Sundarasivarao B. S. K., Ganesan N. 1991, Deformation of varying thickness of conical shells subjected to axisymmetric loading with various end conditions, Engineering Fracture Mechanics 39(6): 1003-1010.
[8] Jane K. C., Wu Y. H., 2004, A generalized thermoelasticity problem of multilayered conical shells, International Journal of Solids Structures 41: 2205-2233.
[9] Vivio F., Vullo V., 2007, Elastic stress analysis of rotating converging conical disks subjected to thermal load and having variable density along the radius, International Journal of Solids Structures 44: 7767-7784.
[10] Naj R., Boroujerdy M. B., Eslami M. R., 2008, Thermal and mechanical instability of functionally graded truncated conical shells, Thin Walled Structures 46: 65-78.
[11] Eipakchi H. R., 2009, Errata for axisymmetric stress analysis of a thick conical shell with varying thickness under nonuniform internal pressure, Journal of Engineering Mechanics 135(9): 1056-1056.
[12] Sladek J., Sladek V., Solek P., Wen P. H., Atluri A. N., 2008, Thermal analysis of reissner-mindlin shallow shells with FGM properties by the MLPG, CMES: Computer Modelling in Engineering and Sciences 30(2): 77-97.
[13] Nejad M. Z., Rahimi G. H., Ghannad M., 2009, Set of field equations for thick shell of revolution made of functionally graded materials in curvilinear coordinate system, Mechanika 77(3): 18-26.
[14] Ghannad M., Nejad M. Z., Rahimi G. H., 2009, Elastic solution of axisymmetric thick truncated conical shells based on first-order shear deformation theory, Mechanika 79(5): 13-20.
[15] Eipakchi, H. R., 2010, Third-order shear deformation theory for stress analysis of a thick conical shell under pressure, Journal of Mechanics of materials and structures 5(1): 1-17.
[16] Jabbari M., Meshkini M., Eslami M. R., 2011, Mechanical and thermal stresses in a FGPM hollow cylinder due to non-axisymmetric loads, Journal of Solid Mechanics 3(1): 19-41.
[17] Ray S., Loukou A., Trimis D., 2012, Evaluation of heat conduction through truncated conical shells, International Journal of Thermal Sciences 57: 183-191.
[18] Ghannad M., Gharooni H., 2012, Displacements and stresses in pressurized thick FGM cylinders with varying properties of power function based on HSDT, Journal of Solid Mechanics 4(3): 237-251.
[19] Ghannad M., Nejad M. Z., Rahimi G. H., Sabouri H., 2012, Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials, Structural Engineering and Mechanics 43(1): 105-126.
[20] Nejad M. Z., Jabbari M., Ghannad M., 2014, A semi-analytical solution of thick truncated cones using matched asymptotic method and disk form multilayers, Archive of Mechanical Engineering 3: 495-513.
[21] Nejad M. Z., Jabbari M., Ghannad M. 2014, Elastic analysis of rotating thick truncated conical shells subjected to uniform pressure using disk form multilayers, ISRN Mechanical Engineering 764837: 1-10.
[22] Jabbari M., Meshkini M., 2014, Mechanical and thermal stresses in a FGPM hollow cylinder due to radially symmetric loads, Encyclopedia of Thermal Stresses 2938-2946.
[23] Nejad M. Z., Jabbari M., Ghannad M., 2015, Elastic analysis of FGM rotating thick truncated conical shells with axially-varying properties under non-uniform pressure loading, Composite Structures 122: 561-569.
[24] Sofiyev A. H., Huseynov S. E., Ozyigit P., Isayev, F. G., 2015, The effect of mixed boundary conditions on the stability behavior of heterogeneous orthotropic truncated conical shells, Meccanica 50: 2153-2166.
[25] Jabbari M., Nejad M. Z., Ghannad M., 2016, Thermoelastic analysis of rotating thick truncated conical shells subjected to non-uniform pressure, Journal of Solid Mechanics 8(3): 481-466.
[26] Vlachoutsis S., 1992, Shear correction factors for plates and shells, International Journal for Numerical Methods in Engineering 33: 1537-1552.
[27] Buchanan G. R., Yii C. B. Y., 2002, Effect of symmetrical boundary conditions on the vibration of thick hollow cylinders, Applied Acoustics 63(5): 547-566.