Mоlimо vаs kоristitе оvај idеntifikаtоr zа citirаnjе ili оvај link dо оvе stаvkе:
https://open.uns.ac.rs/handle/123456789/2636
Nаziv: | On Post-Critical Behavior of a Beam on an Elastic Foundation | Аutоri: | Rehlicki L. Janev M. Novaković, Bojan Atanacković-Jeličić, Jelena |
Dаtum izdаvаnjа: | 1-јун-2018 | Čаsоpis: | International Journal of Structural Stability and Dynamics | Sažetak: | © 2018 World Scientific Publishing Company. In this paper, we analyze the nonlinear equilibrium equation corresponding to the two-parameter bifurcation problem arising in the stability analysis of an elastic simply supported beam on the Winkler type elastic foundation for the case when bimodal buckling occurs. We perform the bifurcation analysis of the nonlinear problem, by using Lyapunov-Schmidt reduction, thus obtaining the number of the nontrivial solutions to the nonlinear problem and qualitatively characterizing the solution patterns. We also give the formulation of the problem and bifurcation analysis from the total energy viewpoint and determine the energy of each bifurcating solution. We assert that the solution with the smallest energy is the one that will be observed in the post-critical state. For specific choice of parameters, the bifurcating solution in the form of the second buckling mode has the smallest total energy. The numerical results illustrating the theory are also provided. | URI: | https://open.uns.ac.rs/handle/123456789/2636 | ISSN: | 02194554 | DOI: | 10.1142/S0219455418500827 |
Nаlаzi sе u kоlеkciјаmа: | FTN Publikacije/Publications |
Prikаzаti cеlоkupаn zаpis stаvki
SCOPUSTM
Nаvоđеnjа
6
prоvеrеnо 03.05.2024.
Prеglеd/i stаnicа
15
Prоtеklа nеdеljа
11
11
Prоtеkli mеsеc
0
0
prоvеrеnо 10.05.2024.
Google ScholarTM
Prоvеritе
Аlt mеtrikа
Stаvkе nа DSpace-u su zаštićеnе аutоrskim prаvimа, sа svim prаvimа zаdržаnim, оsim аkо nije drugačije naznačeno.