caa a22 4500 467948240 CHVBK 20180405193739.0 cr unu---uuuuu 170328e20050301xx s 000 0 eng 10.1007/s00419-004-0352-7 doi (NATIONALLICENCE)springer-10.1007/s00419-004-0352-7 (NATIONALLICENCE)springer-10.1007/BF02637032 A method for the direct evaluation of buckling loads of an imperfect two-bar frame [Elektronische Daten] [G. I. Ioannidis, I.G. Raftoyiannis, A.N. Kounadis] The pre-critical, critical, and post-critical nonlinear response of an imperfect due to loading eccentricity two-bar frame is thoroughly discussed. In seeking the maximum load-carrying capacity of this non-sway frame, it was qualitatively established that its loss of stability occurs through a limit point and hence, the case of an asymmetric bifurcation can be considered only in an asymptotic sense. After deriving the nonlinear equilibrium equations with unknowns for the two bar axial forces, we can consider such a continuous system as a two-degree-of-freedom model with generalized coordinates the above axial forces. Then, the equilibrium equations and the stability determinant of the frame can be determined in terms of the first and second derivatives of its total potential energy (TPE) with respect to the axial forces. The vanishing of the second variation of the TPE together with the equilibrium equations allows a simple and direct evaluation of the buckling load. Numerical examples demonstrate the efficiency and the reliability of the proposed method. Springer-Verlag Berlin Heidelberg, 2005 Nonlinear stability nationallicence imperfect frames nationallicence loading eccentricity nationallicence Ioannidis G. I. Department of Civil Engineering, National Technical University of Athens, Greece aut Raftoyiannis I.G. Department of Civil Engineering, National Technical University of Athens, Greece aut Kounadis A.N. Department of Civil Engineering, National Technical University of Athens, Greece aut Archive of Applied Mechanics Springer-Verlag 74/5-6(2005-03-01), 299-308 0939-1533 74:5-6<299 2005 74 419 https://doi.org/10.1007/s00419-004-0352-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-004-0352-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ioannidis G. I. Department of Civil Engineering, National Technical University of Athens, Greece aut NATIONALLICENCE 700 1- Raftoyiannis I.G. Department of Civil Engineering, National Technical University of Athens, Greece aut NATIONALLICENCE 700 1- Kounadis A.N. Department of Civil Engineering, National Technical University of Athens, Greece aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 74/5-6(2005-03-01), 299-308 0939-1533 74:5-6<299 2005 74 419 NATIONALLICENCE 700 1- Ioannidis G. Department of Civil Engineering, National Technical University of Athens, Greece aut NATIONALLICENCE 700 1- Raftoyiannis I. Department of Civil Engineering, National Technical University of Athens, Greece aut NATIONALLICENCE 700 1- Kounadis A. Department of Civil Engineering, National Technical University of Athens, Greece aut NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02637032 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer