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Course syllabus D1-NMMK - Numerical methods in the structural mechanics (FCE - 2019/2020 - post-graduate studies)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: D1-NMMK
Course unit title: Numerical methods in the structural mechanics
Mode of delivery, planned learning activities and teaching methods:
workshop2 hours weekly / 26 hours per semester of study (on-site method)

Credits allocated: 5
Recommended semester/trimester: Applied Mechanics - doctoral (semi-compulsory), 1. year
Level of study: 3.
Prerequisites for registration: none
Assesment methods:
Learning outcomes of the course unit:
Students gains the basic knowledge of the modeling and calculation methods of the member, panel, plate, shell and space structures using FEM, INFEM and FSM.
They will become familiar with the approximation and meshing process as well the accuracy of the structural analysis. They gain the experience from the modeling and the structural analysis on the computer. They acquire the experiences from the linear and nonlinear simulations of the structures behavior on the computer using ANSYS software system.
Course contents:
• Introduction to the variation methods in the structural mechanics. Displacement, force and hybrid variation principle. of the modeling the structures. The problems of the accuracy and convergence of the solution. Boundary conditions.
• Approximation and meshing in FEM and criterion of the convergence. Numerical integration. Solution of structures under effect of the forces, temperatures, creep and shrinkage deformations. Algorithm of FEM.
• The Cartesian and isoparametric elements. Modified elements. Application on the panel, plate, shell and space structures. Approximation and mapping functions for the plane and space infinite elements. The principle of the strip method element .
• Method of the submodeling and substructures. The method of the automatic meshing of the areas and the boolon operations. Energy error and accuracy. Isoparametric and hierarchistic elements. Meshing and approximation of the elements of h, p and hp type and control of the convergence. Method of the adaptive meshing and optimization methods of meshing of the structures and systems.
• Optimization tasks and the expert systems in FEM.
• Geometric a material nonlinearity. Mechanical models of the elasto-plastic and elasto-viscoplastic materials. Incremental principle of the solution of the material nonlinearity. Newton - Raphson iteration. Acceleration of the convergence of the nonlinear tasks. Explicit and implicit methods to solve the nonlinear tasks.
• Application to solve practical tasks and systems using MathCAD and ANSYS.
Recommended or required reading:
KOLÁŘ, V. -- NĚMEC, I. -- KANICKÝ, V. FEM: Principy a praxe metody konečných prvků. Praha : Computer Press, 1997. 401 p. ISBN 80-7226-021-9.
BITTNAR, Z. -- ŠEJNOHA, J. Numerické metódy mechniky 1, 2. Praha: CVUT, 1992. 500 p.
KRÁLIK, J. Safety and Reliability of Nuclear Power Buildings in Slovakia. Earthquake-Impact-Explosion. Bratislava: STU Bratislava, 2009. 307 p. ISBN 978-80-227-3112-6.

Language of instruction: slovak and english or english
Courses evaluation:
Assessed students in total: 2

100,0 %0 %
Name of lecturer(s): prof. Ing. Juraj Králik, PhD. (examiner, instructor, lecturer, person responsible for course, tutor) - slovak, english
Last modification: 31. 10. 2017
Supervisor: prof. Ing. Juraj Králik, PhD. and programme supervisor

Last modification made by Ing. Peter Korčák on 10/31/2017.

Type of output: