[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5659/AIKAR.2016.18.3.113

Buckling Analysis of Rectangular Plates using an Enhanced 9-node Element

LEE, Sang Jin (ADOPT Research Group, Department of Architectural Engineering, Gyeongsang National University)

Publication Information

Architectural research / v.18, no.3, 2016 , pp. 113-120 More about this Journal

Abstract

The stability and resistance of the plates under in-plane loading is crucial in the design of structures. For the assessment of structural stability, it is necessarily required to have accurate finite element technologies. Therefore, the enhanced 9-node plate (Q9-ANS) element is introduced for the linear buckling analysis of plate where the critical buckling load has to be determined. The Q9-ANS is developed with the Reissner-Mindlin (RM) assumptions which consider transverse shear deformation of the plate. Assumed shear strain is used to alleviate the shear locking phenomenon. Numerical examples are carried out to verify the performance of the Q9-ANS element in calculation of critical buckling load of the plates.

Keywords

Rectangular Plate; Critical Buckling Load; Assumed Strain; Shear Locking; 9-node Element;

Citations & Related Records

Reference

1	Brunelle, E.J. (1971) Buckling of transversely isotropic Mindlin plates, AIAA Journal, 19, pp.1018-1022.
2	Brunelle, E.J. and Robertson, S.R. (1974) Initially stressed Mindlin plates, AIAA Journal, 12, 1036-1045. DOI
3	Bulson, P.S. (1970) The Stability of Flat Plates. Chatto and Windus, London.
4	Chin, C.K., Al-Bermani, F.G.A. and Kitipornchai, S. (1993) Finite element method for buckling analysis of plate structures, ASCE, J. of Structural Engineering, 119, 4, pp.1048-1068 DOI
5	Dawe, D.J. and Roupaeil, O.L. (1982) Buckling of rectangular Mindlin plates, Computers and Structures, 15, pp.461-471. DOI
6	Kang, J.-H. and Leissa, A.W. (2001) Vibration and buckling of SS-F-SS-F rectangular plates loaded by in-plane moments, International Journal of Stability and Dynamics, 1, pp.527-543. DOI
7	Lee, S.J. (2014) Finite element method with MATLAB. SJ Mirae.
8	Lee, S.J. and Han, S.E. (2001) Free-vibration analysis of plates and shells with a nine-node assumed natural degenerated shell element. Journal of Sound and Vibration, 241, 4, pp. 605-633. DOI
9	Lee, S.J. and Kim, H.R. (2012) Vibration and buckling of thick plates using isogeometric approach. Architectural Research,15, pp. 35-42.
10	Leissa, A. (1982) Advances and trends in plate buckling research, Research in structural and solid mechanics, NASA CP-2245.
11	Leissa, A.W. and Kang, J.-H. (2002) Exact solutions for vibration and buckling of an SS-C-SS-C rectangular plate loaded by linearly varying inplane stresses, International Journal of Mechanical Sciences, 44, pp.1925-1945. DOI
12	Liew, K.M., Xiang, Y., Kittipornchai, S. (1996) Analytical buckling solutions for Mindlin plates involving free edges, International Journal of Mechanical Sciences, 38(10), pp.1127-1138. DOI
13	Luo, J.W. (1982) A hybrid/mixed model finite element analysis for buckling of moderately thick plates, Computers and Structures, 15, pp.359-364. DOI
14	Rao, G.V., Venkataramana, J. and Kanaka Raju, K. (1975) Stability of moderately thick rectangular plates using a high precision triangular element, Computers and Structures, 5, pp.257-260. DOI
15	Reddy, J.N. and Phan, N.D. (1985) Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory, Journal of Sound and Vibration, 98, pp.157-170. DOI
16	Wang, C.M. (1995) Allowance for prebuckling deformations in buckling load relationship between Mindlin and Kirchhoff simply supported plates of general polygonal shape, Engineering Structures, 17, pp.413-418. DOI
17	Sakiyama, T. and Matsuda, H. (1987) Elastic buckling of rectangular Mindlin plate with mixed boundary conditions, Computers and Structures, 25, pp.801-808. DOI
18	Shufrin, I. and Eisenberger, M. (2005) Stability and vibration of shear deformable plates-first order and higher order analyses, International Journal of Solids and Structures, 42, pp.1225-1251. DOI
19	Srinivas, S. and Rao, A.K. (1969) Buckling of thick rectangular plates, AIAA Journal, 7, pp.1645-1646 DOI
20	Wang, C.M. and Reddy, J.N. (1997) Buckling load relationship between Reddy and Kirchhoff plates of polygonal shape with simply supported edges, Mechanics Research Communications, 24, pp.103-105. DOI
21	Wang, C.M., Xiang, Y., Kitipornchai, S. and Liew, K.M. (1994) Buckling solutions for Mindlin plates of various shapes, Engineering Structures, 16, pp.119-127. DOI
22	Xiang, Y. (1993) Numerical Developments in Solving the Buckling and Vibration of Mindlin Plates, PhD Thesis, The University of Queensland, Australia.