Buckling of plane frames under unilateral kinematic constraints

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures Pub Date : 2024-12-07 DOI:10.1016/j.ijsolstr.2024.113185

F.F. de Almeida , A. Pinto da Costa , F.M.F. Simões

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引用次数: 0

Abstract

This work deals with the buckling of elastic frames in the presence of supports that restrict motion (either translational or rotational) in one direction only: the so called “unilateral supports”. A new method is presented for computing the bifurcation loads and modes of kinematically constrained, slender reticulated structures, using a single finite element per bar for stability analysis. One considers exact finite elements of axially loaded bars that may be either (a) compressed, (b) with no axial force or (c) tensioned. The numerical computation of bifurcation loads and buckling modes is based on a doubly nonlinear eigenvalue problem: (i) nonlinear because the load parameter appears scattered in the several stability functions (that are circular trigonometric or hyperbolic trigonometric, respectively for compression or tension) and (ii) nonlinear due to the complementarity conditions corresponding to the unilateral support conditions. The new method, which uses a single element per bar, is validated by comparing cases with and without unilateral supports to numerical and analytical results from the literature.

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来源期刊

International Journal of Solids and Structures 物理-力学

CiteScore

6.70

自引率

8.30%

发文量

405

审稿时长

70 days

期刊介绍： The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field. Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.