Simple algorithm for computing the stiffness matrix of composite cross-section
Конференцијски прилог (Објављена верзија)
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The paper proposes an algorithm for computing the stiffness matrix of composite cross-sections made of two or more different materials. Irrespective of the cross-section geometry, the calculation puts forward a numerical solution applying the finite element method (FEM). The cross-section is discretised into fibers and integration over the section area is performed numerically. The required geometric characteristics and stiffness matrix of the entire cross-section are formed by the assembling procedure. Beam theory equations are used for calculating stresses and strains at characteristic points of the cross-section. Materially nonlinear behaviour of concrete and steel is considered. The advantage of the proposed numerical algorithm is that results of satisfying accuracy are obtained in only a few iterations. The algorithm is implemented in own computer program with a straightforward input data procedure.
Кључне речи:
composite cross-section / stress and strain analysis / numerical simulationsИзвор:
Proceedings / 8th International Congress of Serbian Society of Mechanics, 2021, 41-49Финансирање / пројекти:
- info:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIRor III)/42012/RS// (RS-42012) (RS-MESTD-Integrated and Interdisciplinary Research (IIRor III)-42012)
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GraFarTY - CONF AU - Lazović Radovanović, M. AU - Nikolić, J. AU - Radovanović, J. PY - 2021 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2529 AB - The paper proposes an algorithm for computing the stiffness matrix of composite cross-sections made of two or more different materials. Irrespective of the cross-section geometry, the calculation puts forward a numerical solution applying the finite element method (FEM). The cross-section is discretised into fibers and integration over the section area is performed numerically. The required geometric characteristics and stiffness matrix of the entire cross-section are formed by the assembling procedure. Beam theory equations are used for calculating stresses and strains at characteristic points of the cross-section. Materially nonlinear behaviour of concrete and steel is considered. The advantage of the proposed numerical algorithm is that results of satisfying accuracy are obtained in only a few iterations. The algorithm is implemented in own computer program with a straightforward input data procedure. C3 - Proceedings / 8th International Congress of Serbian Society of Mechanics T1 - Simple algorithm for computing the stiffness matrix of composite cross-section VL - 41-49 UR - https://hdl.handle.net/21.15107/rcub_grafar_2529 ER -
@conference{ author = "Lazović Radovanović, M. and Nikolić, J. and Radovanović, J.", year = "2021", abstract = "The paper proposes an algorithm for computing the stiffness matrix of composite cross-sections made of two or more different materials. Irrespective of the cross-section geometry, the calculation puts forward a numerical solution applying the finite element method (FEM). The cross-section is discretised into fibers and integration over the section area is performed numerically. The required geometric characteristics and stiffness matrix of the entire cross-section are formed by the assembling procedure. Beam theory equations are used for calculating stresses and strains at characteristic points of the cross-section. Materially nonlinear behaviour of concrete and steel is considered. The advantage of the proposed numerical algorithm is that results of satisfying accuracy are obtained in only a few iterations. The algorithm is implemented in own computer program with a straightforward input data procedure.", journal = "Proceedings / 8th International Congress of Serbian Society of Mechanics", title = "Simple algorithm for computing the stiffness matrix of composite cross-section", volume = "41-49", url = "https://hdl.handle.net/21.15107/rcub_grafar_2529" }
Lazović Radovanović, M., Nikolić, J.,& Radovanović, J.. (2021). Simple algorithm for computing the stiffness matrix of composite cross-section. in Proceedings / 8th International Congress of Serbian Society of Mechanics, 41-49. https://hdl.handle.net/21.15107/rcub_grafar_2529
Lazović Radovanović M, Nikolić J, Radovanović J. Simple algorithm for computing the stiffness matrix of composite cross-section. in Proceedings / 8th International Congress of Serbian Society of Mechanics. 2021;41-49. https://hdl.handle.net/21.15107/rcub_grafar_2529 .
Lazović Radovanović, M., Nikolić, J., Radovanović, J., "Simple algorithm for computing the stiffness matrix of composite cross-section" in Proceedings / 8th International Congress of Serbian Society of Mechanics, 41-49 (2021), https://hdl.handle.net/21.15107/rcub_grafar_2529 .