Nonlinear stability analysis of the frame structures
Конференцијски прилог (Објављена верзија)
Метаподаци
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In this doctoral thesis, the nonlinear stability analysis of frame structures is presented. Numerical analysis was performed by the finite element method. Stiffness matrices were derived using the trigonometric shape functions related to the exact solution of the differential equation of bending according to the second-order theory. When the buckling of structure occurs in the plastic domain, it is necessary to replace the constant modulus of elasticity E with the tangent modulus Et that is stress dependent function and takes into account the changes of the member stiffness in the inelastic range. For the purposes of numerical investigation in this thesis, the computer program ALIN was created. This program is developed in the C++ programming language. In this thesis, the algorithm for the calculation of buckling lengths of compressed columns of the frames was established. The algorithm is based on the calculation of the global stability analysis of frame structures. Results obtained u...sing this algorithm were compared with the approximate solutions from the European (EC3) and national (JUS) standards for the steel structures. By the presented procedure it is also possible to follow the behavior of the plane frames in the plastic domain and to calculate the real critical load in that domain.
Кључне речи:
Stability of structures / nonlinear elasto-plastic analysis / finite element method / tangent modulus / buckling lengthИзвор:
Seeform scholars’successful stories, 2014, 39-30Издавач:
- South Eastern European Graduate School For Master and PhD Formation in Engineering
Колекције
Институција/група
GraFarTY - CONF AU - Ćorić, Stanko PY - 2014 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2858 AB - In this doctoral thesis, the nonlinear stability analysis of frame structures is presented. Numerical analysis was performed by the finite element method. Stiffness matrices were derived using the trigonometric shape functions related to the exact solution of the differential equation of bending according to the second-order theory. When the buckling of structure occurs in the plastic domain, it is necessary to replace the constant modulus of elasticity E with the tangent modulus Et that is stress dependent function and takes into account the changes of the member stiffness in the inelastic range. For the purposes of numerical investigation in this thesis, the computer program ALIN was created. This program is developed in the C++ programming language. In this thesis, the algorithm for the calculation of buckling lengths of compressed columns of the frames was established. The algorithm is based on the calculation of the global stability analysis of frame structures. Results obtained using this algorithm were compared with the approximate solutions from the European (EC3) and national (JUS) standards for the steel structures. By the presented procedure it is also possible to follow the behavior of the plane frames in the plastic domain and to calculate the real critical load in that domain. PB - South Eastern European Graduate School For Master and PhD Formation in Engineering C3 - Seeform scholars’successful stories T1 - Nonlinear stability analysis of the frame structures EP - 30 SP - 39 UR - https://hdl.handle.net/21.15107/rcub_grafar_2858 ER -
@conference{ author = "Ćorić, Stanko", year = "2014", abstract = "In this doctoral thesis, the nonlinear stability analysis of frame structures is presented. Numerical analysis was performed by the finite element method. Stiffness matrices were derived using the trigonometric shape functions related to the exact solution of the differential equation of bending according to the second-order theory. When the buckling of structure occurs in the plastic domain, it is necessary to replace the constant modulus of elasticity E with the tangent modulus Et that is stress dependent function and takes into account the changes of the member stiffness in the inelastic range. For the purposes of numerical investigation in this thesis, the computer program ALIN was created. This program is developed in the C++ programming language. In this thesis, the algorithm for the calculation of buckling lengths of compressed columns of the frames was established. The algorithm is based on the calculation of the global stability analysis of frame structures. Results obtained using this algorithm were compared with the approximate solutions from the European (EC3) and national (JUS) standards for the steel structures. By the presented procedure it is also possible to follow the behavior of the plane frames in the plastic domain and to calculate the real critical load in that domain.", publisher = "South Eastern European Graduate School For Master and PhD Formation in Engineering", journal = "Seeform scholars’successful stories", title = "Nonlinear stability analysis of the frame structures", pages = "30-39", url = "https://hdl.handle.net/21.15107/rcub_grafar_2858" }
Ćorić, S.. (2014). Nonlinear stability analysis of the frame structures. in Seeform scholars’successful stories South Eastern European Graduate School For Master and PhD Formation in Engineering., 39-30. https://hdl.handle.net/21.15107/rcub_grafar_2858
Ćorić S. Nonlinear stability analysis of the frame structures. in Seeform scholars’successful stories. 2014;:39-30. https://hdl.handle.net/21.15107/rcub_grafar_2858 .
Ćorić, Stanko, "Nonlinear stability analysis of the frame structures" in Seeform scholars’successful stories (2014):39-30, https://hdl.handle.net/21.15107/rcub_grafar_2858 .