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A dimensionless analytical analysis for buckling and lateral buckling interaction of thin-walled beams with open cross sections
Highlights Investigation of the interaction between buckling and lateral buckling of thin-walled beams with arbitrary open cross-section using nonlinear modeling in large rotation and with warping. The dimensionless equilibrium equations are established. Introduction of various dimensionless parameters that control the interaction between buckling and lateral buckling. The proposed analytical solutions are validated and compared to numerical solutions obtained from B3Dw beam elements based on Asymptotic Numerical Method.
Abstract This paper investigates the interaction between buckling and lateral buckling of thin-walled beams with arbitrary open cross-section using nonlinear modeling in large rotation and with warping. First, the equilibrium equations have been transformed into dimensionless ones, and within a nonlinear stability model, various dimensionless parameters are introduced to control the interaction between buckling and lateral buckling. In comparison to a reference of literature, this work focuses on the case of arbitrary sections and includes a greater number of higher-order terms in our analysis. These additions have an impact on the coefficients of the stability formula by expanding its applicability to non- symmetric sections. Then, the effect of the different dimensionless parameters, thus introduced on the stability curve, has been studied. The proposed solutions are validated and compared to numerical solutions obtained by a general finite element package including the warping developed by the authors using Asymptotic Numerical Method (ANM) to solve the initial nonlinear equations.
A dimensionless analytical analysis for buckling and lateral buckling interaction of thin-walled beams with open cross sections
Highlights Investigation of the interaction between buckling and lateral buckling of thin-walled beams with arbitrary open cross-section using nonlinear modeling in large rotation and with warping. The dimensionless equilibrium equations are established. Introduction of various dimensionless parameters that control the interaction between buckling and lateral buckling. The proposed analytical solutions are validated and compared to numerical solutions obtained from B3Dw beam elements based on Asymptotic Numerical Method.
Abstract This paper investigates the interaction between buckling and lateral buckling of thin-walled beams with arbitrary open cross-section using nonlinear modeling in large rotation and with warping. First, the equilibrium equations have been transformed into dimensionless ones, and within a nonlinear stability model, various dimensionless parameters are introduced to control the interaction between buckling and lateral buckling. In comparison to a reference of literature, this work focuses on the case of arbitrary sections and includes a greater number of higher-order terms in our analysis. These additions have an impact on the coefficients of the stability formula by expanding its applicability to non- symmetric sections. Then, the effect of the different dimensionless parameters, thus introduced on the stability curve, has been studied. The proposed solutions are validated and compared to numerical solutions obtained by a general finite element package including the warping developed by the authors using Asymptotic Numerical Method (ANM) to solve the initial nonlinear equations.
A dimensionless analytical analysis for buckling and lateral buckling interaction of thin-walled beams with open cross sections
Bakhach, Zaenab (author) / Kaimbillah, Ahmed El (author) / Hamdaoui, Abdellah (author) / Braikat, Bouazza (author) / Mohri, Foudil (author) / Damil, Noureddine (author)
Thin-Walled Structures ; 195
2023-11-17
Article (Journal)
Electronic Resource
English
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