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Comparison of various methods for nonlinear analysis of structures from the point of view of speed, accuracy and robustness.
Bravenec, Ladislav ; Křiváková, Jarmila (referee) ; Němec, Ivan (advisor)
The aim of the thesis is to compare the iterative methods which program RFEM 5 uses the non-linear calculations of structures, namely the analysis of large deformations and post critical analysis. Comparison should serve as a basis for which calculation method is the most accurate, fastest and most reliable in terms of getting results. Time-consuming will be judged according to the calculation of the solution and the time needed to compute one iterativ. Robustness we will compare the reliability of methods in in normal use. Accuracy of the calculation will be determined by comparing the maximum deformation structures. Comparison will be made with examples from practice.
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The calculation of magnetic field distribution in nonlinear anisotropic media using the finite element method
Kunický, Zdeněk
Title: The calculation of magnetic field distribution in nonlinear anisotropic media Author: Zdeněk Kunický Department: Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: RNDr. Tomáš Vejchodský, Ph.D., Mathematical Institute of the Academy of Sciences of the Czech Republic Supervisor's e-mail address: vejchod@math.cas.cz Abstract: In the present work we study the modelling of stationary magnetic fields in nonlinear anisotropic media by FEM. The magnetic characteristics of such materials are thouroughly examined and eventually applied to the construction of a full 2D model of an anisotropic steel sheet. Some improvements in the construction in comparision with the ones previously published were achieved. We point out that the standard formulations and the subsequent theorems for the boundary value problems do not in fact correspond with the physical situation. Instead, we propose new formulations that reflect real physical properties of matter. General existence and uniqueness theorems for the obtained boundary value problems are proved as well as the convergence theo- rems for the discrete solutions. The conventional and full 2D model of an anisotropic steel sheet are compared in two transformer core models using the adaptive Newton- Raphson...
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The calculation of magnetic field distribution in nonlinear anisotropic media using the finite element method
Kunický, Zdeněk
Title: The calculation of magnetic field distribution in nonlinear anisotropic media Author: Zdeněk Kunický Department: Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University in Prague Supervisor: RNDr. Tomáš Vejchodský, Ph.D., Mathematical Institute of the Academy of Sciences of the Czech Republic Supervisor's e-mail address: vejchod@math.cas.cz Abstract: In the present work we study the modelling of stationary magnetic fields in nonlinear anisotropic media by FEM. The magnetic characteristics of such materials are thouroughly examined and eventually applied to the construction of a full 2D model of an anisotropic steel sheet. Some improvements in the construction in comparision with the ones previously published were achieved. We point out that the standard formulations and the subsequent theorems for the boundary value problems do not in fact correspond with the physical situation. Instead, we propose new formulations that reflect real physical properties of matter. General existence and uniqueness theorems for the obtained boundary value problems are proved as well as the convergence theo- rems for the discrete solutions. The conventional and full 2D model of an anisotropic steel sheet are compared in two transformer core models using the adaptive Newton- Raphson...
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Comparison of various methods for nonlinear analysis of structures from the point of view of speed, accuracy and robustness.
Bravenec, Ladislav ; Křiváková, Jarmila (referee) ; Němec, Ivan (advisor)
The aim of the thesis is to compare the iterative methods which program RFEM 5 uses the non-linear calculations of structures, namely the analysis of large deformations and post critical analysis. Comparison should serve as a basis for which calculation method is the most accurate, fastest and most reliable in terms of getting results. Time-consuming will be judged according to the calculation of the solution and the time needed to compute one iterativ. Robustness we will compare the reliability of methods in in normal use. Accuracy of the calculation will be determined by comparing the maximum deformation structures. Comparison will be made with examples from practice.
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