Engineering Transactions, 48, 4, pp. 345–355, 2000
10.24423/engtrans.579.2000

Analysis of Thin-Walled Bars With Open and Closed-Open Cross-Sections

A. Garstecki
Poznan University of Technology
Poland

W. Kąkol
Poznan University of Technology
Poland

K. Rzeszut
Poznan University of Technology
Poland

The paper presents the numerical analysis of global and local buckling of columns made of steel cold-rolled, very thin-walled cross-sections of sigma (E) and double sigma (2E) type. Variation of the buckling stress for a wide range of slenderness ratio is presented. The deformation of the contour associated with different buckling modes and warping of open and closed-open sections is discussed, too. The exactness and numerical efficiency of different methods are studied on several examples. Finite Element Method incorporating the Vlasov beam element and shell element is compared with the Finite Strip Method.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

S.P. TIMOSHENKO, J.M. GERE, Theory of elastic stability, McGraw-Hill Book Co., Inc., New York 1961.

V.Z. VLASOV, Thin-walled elastic rods [in Russian], Izd. Akad. Nauk SSSR, Moscow 1963.

M.S. CHEUNG, Y.K. CHEUNG, Static and dynamic behaviour of rectangular plates using higher order finite strips, Build. Sci., 7, 151–158, 1972.

Y.K. CHEUNG, Finite strip method in structural analysis, Pergamon Press, Oxford 1976.

S.C. W. LAU, G.J. HANCOCK, Buckling of thin-walled structures by a spline finite strip method, Thin-Walled Structures, 4, 4, 269–294, 1986.

M.S. CHEUNG, Li. WENCHANG, Finite strip method for materially nonlinear analysis of reinforced concrete slabs, Computers and Structures, 35, 603–607, 1990.

J.T. GIERLINSKI, T.R. GRAVES-SMITH, The geometric nonlinear analysis of thin-walled structures by finite strips, Thin-Walled Structures, 2, 27–35, 1984.

S. SRIDHARAN, Doubly symmetric interactive buckling of plate structures, Int. J. Solids and Structures, 19, 7, 625–641, 1983.

S. SRIDHARAN, ALI H. ASHRAF, An improved interactive buckling analysis of thin-walled columns having doubly symmetric sections, Int. J. Solids and Structures, 22, 429–434, 1986.

W. KAKOL, Non-linear stability analysis of rectangular stiffened plates [in Polish], Ph. D. Thesis, Techn. Univ. Poznań 1987.

W. KĄKOL, Stability analysis of stiffened plates by finite strips, Thin-Walled Structures, 10, 277–297, 1990.

S.C. W. LAU, G.J. HANCOCK, Inelastic buckling analyses of beams, columns and plates using the spline finite strip method, Thin-Walled Structures, 7, 213–238, 1989.

A.H. SHEIKH, M. MUKHOPADHYAY, Analysis of stiffened plate with arbitrary platform by general spline finite strip method, Computers and Structures, 42, 1, 53–67, 1992.

E. HINTON, N. V. R. RAO, Analysis and shape optimization of variable thickness prismatic folded plates and curved shells, Part 1: Finite strip formulation, Thin-Walled Structures, 17, 2, 1993.

E. HINTON, N.V.R. RAO, Analysis and shape optimization of variable thickness prismatic folded plates and curved shells, Part 2: Shape optimization, Thin-Walled Structures, 17, 3, 1993.

A. GARSTECKI, W. KĄKOL, Structural sensitivity analysis in eigenvalue problems using Finite Strip Method, ASME, 393–398, 1994.

A. GARSTECKI, W. KĄKOL, Accuracy of sensitivity analysis in eigenvalue problems using FEM, ZAMM, 75, 385–486, 1995.

G. THIERAUF, Thin-walled structures and related optimization problems, Thin-Walled Structures, 9, 241–256, 1990.

A. PROKIC, New warping function for thin-walled beams, I: Theory, J. Struct. Engng., ASCE, 122, 12, 1437–1442, 1996.

A. PROKIC, New warping function for thin-walled beams, II: Finite Element Method and applications, J. Struct. Engng., ASCE, 122, 12, 1443–1452, 1996.

ABAQUS–Standard, Hibbitt, Karlsson & Sorensen, Inc, 1995.




DOI: 10.24423/engtrans.579.2000