Thermoelastic Analysis of Rotating Thick Truncated Conical Shells Subjected to Non-Uniform Pressure

Subject Areas : Engineering

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

1 - Mechanical Engineering Department, Yasouj University
2 - Mechanical Engineering Department, Yasouj University
3 - Mechanical Engineering Faculty, Shahrood University

Received: 2016-03-28 Accepted : 2016-05-23 Published : 2016-09-20

Keywords: Rotation, Truncated conical shells, Thick shells, Thermoelastic analysis, Non-uniform pressure,

Abstract :

In the present work, a study of thermoelastic analysis of a rotating thick truncated conical shell subjected to the temperature gradient and non-uniform internal pressure is carried out. The formulation is based on first-order shear deformation theory (FSDT), which accounts for the transverse shear. The governing equations, derived using minimum total potential energy principle, are solved, using multi-layered method (MLM). The model has been verified with the results of finite element method (FEM) for several tapering angles of the truncated cone. The numerical results obtained are presented graphically and the effects of thermal and mechanical loading, tapering angle of truncated cone, and profile of internal pressure are studied in detail.

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] 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.
[3] Witt F.J., 1965, Thermal stress analysis of conical shells, Nuclear Structure Engineering 1(5): 449-456.
[4] 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.
[5] Jane K. C., Wu Y. H., 2004, A generalized thermoelasticity problem of multilayered conical shells, International Journal of Solids Structures 41: 2205-2233.
[6] Patel B. P., Shukla K. K., Nath Y., 2005, Thermal postbuckling analysis of laminated cross-ply truncated circular conical shells, Composite Structures 71: 101-114.
[7] 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.
[8] 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.
[9] 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.
[10] 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.
[11] 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.
[12] 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.
[13] Arefi M., Rahimi G. H., 2010, Thermo elastic analysis of a functionally graded cylinder under internal pressure using first order shear deformation theory, Scientific Research and Essays 5(12): 1442-1454.
[14] 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.
[15] Ray S., Loukou A., Trimis D., 2012, Evaluation of heat conduction through truncated conical shells, International Journal of Thermal Sciences 57: 183-191.
[16] 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.
[17] 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.
[18] Ghannad M., Rahimi G. H., Nejad M. Z., 2013, Elastic analysis of pressurized thick cylindrical shells with variable thickness made of functionally graded materials, Composite Part B-Engineering 45: 388-396.
[19] 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.
[20] Nejad M. Z., Rastgoo A., Hadi A., 2014, Effect of exponentially-varying properties on displacements and stresses in pressurized functionally graded thick spherical shells with using iterative technique, Journal of Solid Mechanics 6(4): 366-377.
[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] 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.
[23] Vlachoutsis S., 1992, Shear correction factors for plates and shells, International Journal for Numerical Methods in Engineering 33: 1537-1552.