Dynamic, multimode buckling of thin-walled columns subjected to in-plane pulse loading

Abstract The present paper deals with dynamic, coupled buckling of long, prismatic columns simply supported at the ends. This investigation concerns thin-walled structures of a square cross-section with or without intermediate stiffeners under in-plane pulse loading. The dynamic load of a rectangular shape has been assumed in the analysis. The structures are composed of rectangular plates interconnected along longitudinal edges. A plate model is adopted in the analysis. The material of the structure is isotropic. The problem has been investigated on the basis of the disturbance theory. The dynamic critical load factor DLF has been determined using the Budiansky and Hutchinson criterion. The results obtained with the analytical–numerical method (ANM), which employs the asymptotic perturbation theory, have been compared with the finite element method (FEM).

[1]  Zbigniew Kolakowski,et al.  Interactive dynamic buckling of orthotropic thin-walled channels subjected to in-plane pulse loading , 2007 .

[2]  Judah Ari-Gur,et al.  Dynamic pulse buckling of rectangular composite plates , 1997 .

[3]  Srinivasan Sridharan,et al.  Interactive Buckling in Thin‐Walled Beam‐Columns , 1985 .

[4]  A. Teter Static and dynamic interactive buckling of isotropic thin-walled closed columns with variable thickness , 2007 .

[5]  Zbigniew Kolakowski Interactive buckling of thin-walled beam-columns with open and closed cross-sections , 1993 .

[6]  Victor Birman,et al.  Small Vibrations of an Imperfect Panel in the Vicinity of a Non-Linear Static State , 1987 .

[7]  Erdogan Madenci,et al.  The Finite Element Method and Applications in Engineering Using ANSYS , 2007 .

[8]  Srinivasan Sridharan,et al.  A versatile model for interactive buckling of columns and beam-columns , 1988 .

[9]  D Petry,et al.  Dynamic buckling of thin isotropic plates subjected to in-plane impact , 2000 .

[10]  Bernard Budiansky,et al.  Theory of buckling and post-buckling behavior of elastic structures , 1974 .

[11]  Esben Byskov,et al.  Mode interaction in axially stiffened cylindrical shells , 1977 .

[12]  Srinivasan Sridharan,et al.  Columns: Static and Dynamic Interactive Buckling , 1984 .

[13]  Zbigniew Kolakowski,et al.  Natural frequencies of a thin-walled structures with central intermediate stiffeners or/and variable thickness , 2003 .

[14]  Z. Kołakowski Some thoughtd on mode interaction in thin-walled columns under uniform compression , 1989 .

[15]  P. Goltermann,et al.  Interactive buckling in thin-walled beams—I. Theory , 1989 .

[16]  Angelo Luongo,et al.  Asymmetric interactive buckling of thin-walled columns with initial imperfections , 1987 .

[17]  John W. Hutchinson,et al.  Dynamic buckling of imperfection-sensitive structures , 1966 .

[18]  Kolakowski Zbigniew,et al.  Influence of modification of boundary conditions on load carrying capacity in thin-walled columns in the second order approximation , 1993 .

[19]  Srinivasan Sridharan,et al.  Mode Interaction in Thin-Walled Structural Members∗ , 1984 .

[20]  Andrea J Schokker,et al.  Dynamic buckling of composite shells , 1996 .

[21]  Zbigniew Kolakowski,et al.  Interactive buckling and load carrying capacity of thin-walled beam-columns with intermediate stiffeners , 2004 .

[22]  F. Krogh,et al.  Solving Ordinary Differential Equations , 2019, Programming for Computations - Python.

[23]  Esben Byskov,et al.  Elastic buckling with infinitely many local modes , 1987 .

[24]  Zbigniew Kolakowski,et al.  Interactive buckling of thin-walled beam-columns with intermediate stiffeners or/and variable thickness , 2000 .

[25]  Tomasz Kubiak,et al.  Postbuckling behaviour of thin-walled girders with orthotropy varying widthwise , 2001 .

[26]  Srinivasan Sridharan,et al.  An improved interactive buckling analysis of thin-walled columns having doubly symmetric sections , 1986 .

[27]  John W. Hutchinson,et al.  Dynamic buckling estimates. , 1966 .

[28]  J. Dormand,et al.  High order embedded Runge-Kutta formulae , 1981 .