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A Development of Analytical Strategies for Elastic Bifurcation Buckling of the Spatial Structures  

Lee, Kyung Soo (인하대학교 건축학부)
Han, Sang Eul (인하대학교 건축학부)
Publication Information
Journal of Korean Society of Steel Construction / v.21, no.6, 2009 , pp. 563-574 More about this Journal
Abstract
This paper briefly describes the fundamental strategies--path-tracing, pin-pointing, and path-switching--in the computational elastic bifurcation theory of geometrically non-linear single-load-parameter conservative elastic spatial structures. The stability points in the non-linear elasticity may be classified into limit points and bifurcation points. For the limit points, the path tracing scheme that successively computes the regular equilibrium points on the equilibrium path, and the pinpointing scheme that precisely locates the singular equilibrium points were sufficient for the computational stability analysis. For the bifurcation points, however, a specific procedure for path-switching was also necessary to detect the branching paths to be traced in the post-buckling region. After the introduction, a general theory of elastic stability based on the energy concept was given. Then path tracing, an indirect method of detecting multiple bifurcation points, and path switching strategies were described. Next, some numerical examples of bifurcation analysis were carried out for a trussed stardome, and a pin-supported plane circular arch was described. Finally, concluding remarks were given.
Keywords
elastic stability; bifurcation; brach switching; arc-length method; post buckling analysis;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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