Stress Analysis of Rotating Thick Truncated Conical Shells with Variable Thickness under Mechanical and Thermal Loads
الموضوعات :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
الکلمات المفتاحية: Rotation, Variable thickness, Pressurized conical shells, Thermo-elastic analysis, Multi-layer method (MLM),
ملخص المقالة :
In this paper, thermo-elastic analysis of a rotating thick truncated conical shell subjected to the temperature gradient, internal pressure and external pressure is presented. Given the existence of shear stress in the conical shell due to thickness change along the axial direction, the governing equations are obtained based on first-order shear deformation theory (FSDT). These equations are solved by using multi-layer method (MLM). The model has been verified with the results of finite element method (FEM). Finally, some numerical results are presented to study the effects of thermal and mechanical loading, geometry parameters of truncated conical shell.
[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.
