Modares Mechanical Engineering

Modares Mechanical Engineering

Nonlinear hygro-thermo-mechanical buckling analysis of eccentrically stiffened thin FG cylindrical panel on elastic foundations

Authors
Sara Karamian 1
alireza shaterzadeh 2
1 - Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
2 faculty of mechanical engineering, shahrood university of technology
Abstract
Exact and numerical solution of eccentrically stiffened panels in the industry is a major step forward in the design of these structures. This paper presents an analytical approach to investigate the nonlinear stability analysis of eccentrically stiffened thin FG cylindrical panels on elastic foundations subjected to hygro-thermo-mechanical loads. The stiffeners are assumed to be spiral-type. The panel has the initial geometrical imperfection. The material properties are assumed to be temperature-dependent and graded in the thickness direction according to a simple power law distribution. The elastic foundation is considered based on Winkler and Pasternak proposed model. Governing equations are derived basing on the Lekhnitsky smeared stiffeners technique and classical shell theory incorporating Von Karman-Donnell geometrical type nonlinearity. Explicit relations of load–deflection curves for FG cylindrical panels are determined by applying stress function and Galerkin method. The effects of angel of stiffener, different dimensional parameters, volume fraction index, initial geometrical imperfection, the stiffness of elastic foundation and moisture concentration on the postbuckling of FG panel are investigated. Also effects of temperature gradient through the thickness and effects of different boundary conditions are investigated for thermo-mechanical loading. The obtained results are validated by comparing with those in the literature.
Keywords
cylindrical panel
FGM
postbuckling
spiral stiffener
elastic foundation
[1] H. S. Shen, H. Wang, Thermal postbuckling of FGM cylindrical panels resting on elastic foundations, Aerospace Science and Technology, Vol. 38, No. 1, pp. 9-19, 2014.
[2] H. S. Shen, H. Wang, Nonlinear bending of FGM cylindrical panels resting on elastic foundations in thermal environments, European Journal of Mechanics / A Solids, Vol. 49, No. 1, pp. 49-59, 2015.
[3] C. Y. Lee, J. H. Kim, Thermal post-buckling and snap-through instabilities of FGM panels in hypersonic flows, Aerospace Science and Technology, Vol. 30, No. 1, pp. 175-182, 2013.
[4] A. Alibeigloo, W. Q. Chen, Elasticity solution for an FGM cylindrical panel in-tegrated with piezoelectric layers, European Journal of Mechanics / A Solids, Vol. 29, No. 4, pp. 714-723, 2010.
[5] H. V. Tung, N. D. Duc, Nonlinear response of shear deformable FGM curved panels resting on elastic foundations subjected to mechanical an thermal loading conditions, Applied Mathematical Modelling, Vol. 38, No. 11-12, pp. 2848-2866, 2014.
[6] N. D. Duc, H. V. Tung, Nonlinear response of pressure-loaded functionally graded cylindrical panels with temperature effects, Composite Structures, Vol. 92, No. 7, pp. 1664-1672, 2010.
[7] M. M. Aghdam, K. Bigdeli, N. Shahmansouri, A semi-analytical solution for bending of moderately thick curved functionally graded panels, Mechanics of Advanced Materials and Structures, Vol. 17, No. 2, pp. 320- 327, 2010.
[8] J. Yang, K. M. Liew, Y. F. Wu, S. Kitipornchai, Thermo-mechanical postbuckling of FGM cylindrical panels with temperatur-depenent properties, Internal Journal Solids and Structures, Vol. 43, No. 2, pp. 307-324, 2006.
[9] H. V. Tung, Postbuckling behavior of functionally graded cylindrical panels with tangential edge constraints and resting on elastic foundations, Composite Structures, Vol. 100, No. 2, pp. 532-541, 2013.
[10] N. D. Duc, N. D. Tuan, T. Q. Quan, N. V. Quyen, T. V. Anh, Nonlinear mechanical, thermal and thermo-mechanical postbuckling of imperfect eccentrically stiffened thin FGM cylinrical panels on elastic foundations, Thin-Walled Structures, Vol. 96, No. 1, pp. 155-168, 2015.
[11] M. M. Najafizadeh, A. Hasani, P. Khazaeinejad, Mechanical stability of functionally graded stiffened cylindrical shells, Applied Mathematical Modelling, Vol. 33, No. 2, pp. 1151-1157, 2009.
[12] D. V. Dung, D. T. Dong, Post-buckling analysis of functionally graded doubly curved shallow shells reinforced by FGM stiffeners with temperature-depenent material and stiffener properties based on TSDT, Mechanics Research Communication, Part A, Vol. 78, No. 1, pp. 28-41, 2016.
[13] A. M. Zenkour, Hygro-thermo-mechanical effects on FGM plates resting on elastic foundations, Composite Structures, Vol. 93, No. 1, pp. 234-238, 2010.
[14] A. M. Zenkour, Exact solution of thermal stress problem of an inhomogeneous hygrothermal piezoelectric hollow cylinder, Applied Mathematical Modelling, Vol. 38, No. 24, pp. 6133-6143, 2014.
[15] H. S. Shen, Hygrothermal effects on the postbuckling of axially loaded shear deformable laminated cylindrical panels, Composite Structures, Vol. 56, No. 1, pp. 73-85, 2007.
[16] T. C. Soong, Buckling of cylindrical shells with eccentric spiral-type stiffenrs, AIAA Journal, Vol. 7, No. 1, pp. 65-72, 1969.
[17] S. W. Yen, Buckling of cylindrical shells with spiral stiffeners under uniform compression and torsion, Composite Structures, Vol. 11, No. 6, pp. 587-595, 1979.
[18] A. Shaterzadeh, K. Foroutan, Post-buckling of cylindrical shells with spiral stiffeners under elastic foundation, Structural Engineering and Mechanics, Vol. 60, No. 4, pp. 615-631, 2016.
[19] D. D. Brush, B. O. Almorth, Buckling of Bars, Plates and Shells, Mc. Graw-Hill, US, pp. 142-189, 1975.
[20] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton, pp. 567-568, 2004.
[21] H. S. Shen, M. ASCE, A. Y. T. Leung, Postbuckling of pressure-loaded functionally graded cylindrical panels in thermal environments, Journal of Engineering Mechanics, Vol. 129, No. 4, pp. 414-425, 2003.
[22] T. K. Nguyen, B. D. Nguyen, T. P. Vo, H. T. Thai, Hygro-thermal effects on vibration and thermal buckling behaviours of functionally gra
Modares Mechanical Engineering
Volume 18, Issue 2
April 2018
Pages 73-83