Abstract
In this paper, a numerical model for the linear buckling analysis of structures on the elastic support is presented. In the proposed numerical model, the structural elements are modeled with the Euler beam finite element with linearized kinematics and von Karman deformation measure, whereas the elastic support is modeled with the elastic rotational spring. The proposed numerical model is validated by comparing the computed results against analytical solutions obtained for the cases of the column retained on the top end and the column free on the top end. Using the numerical example of a simple frame structure, it is demonstrated the capability of the proposed numerical model to capture the critical load value resulting in a buckling failure for more complex cases of structures on the elastic support.
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Acknowledgments
This work was supported by French Ministry for Europe and Foreign Affairs and Canton Sarajevo Ministry for Science, Higher education and Youth. These supports are gratefully acknowledged.
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Hajdo, E., Hadzalic, E., Ibrahimbegovic, A. (2023). Linear Buckling Analysis of Structures on the Elastic Support. In: Ademović, N., Mujčić, E., Mulić, M., Kevrić, J., Akšamija, Z. (eds) Advanced Technologies, Systems, and Applications VII. IAT 2022. Lecture Notes in Networks and Systems, vol 539. Springer, Cham. https://doi.org/10.1007/978-3-031-17697-5_8
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DOI: https://doi.org/10.1007/978-3-031-17697-5_8
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