ECTS
ECTS Course Catalogue
Course details
Course code: IBS10056o13Semester: 2013/2014 winter
Name: Computational methods
Major: Civil Engineering
Study Type: first cycle
Course type: compulsory
Study Semester: 5
ECTS points: 3
Hours (Lectures / Tutorials / Other): 15 / 30 / 0
Lecturer: dr inż. Wojciech Kilian
Language of instruction: Polish
Learning outcomes: Knowledge Student knows the difference among solution of engineering task on continuous model in relation to solution of discrete model. Student has the knowledge about idealizations and simplifications of the real structure in creation of computational model. Student knows the basic methods of making numerical discrete models on basis of chosen methods of structural analysis. Student knows possible sources of errors in numerical calculations as well as procedures of verification of the analysis results. Student knows working principles of chosen engineering software. Student is acknowledged of the aims and basic methods of optimization of structure. Skills The student is able to simplify real structural systems of moderate complexity to readable static scheme adequate for engineering numerical calculations. Student can solve unidimensional engineering tasks on basis of the Finite Difference Method. Student is able to apply the Finite Element Method to design planar and spatial engineering structures made of various elements. Student is capable to verify the correctness of the results achieved from analysis. Student can determine the basic criteria of optimization for given structure.
Competences: The student is conscious that the use of engineering software does not free one from personal responsibility. Student understands the importance of proper results for sake of public safety or economic performance related to exploitation of the designed structure.
Prerequisites: Mathematical analysis, strength of materials.
Course content: The historical outline of uses of numeric methods and the computers in calculations. The physical model and the mathematical model of construction. Simplifying and the idealization of construction. Mathematical modeling. Global and local definition of the problem. Methods of numerical approximation and interpolation. Linear formulating of problems of mechanics. Discrete methods as a basis of numerical calculations. Basic methods of numerical integration. Probabilistic methods on example of the Monte Carlo method. Finite Difference Method and its application in solving problems of mechanics. Boundary conditions. Deflection of beams on solid and springy support. Analysis of steel rod axially compressed and bulged. Use of Finite Difference Method in two-dimensional problems. Principles of the Finite Element Method. Types of finite elements. Idea of superelement. Analysis of rod structure. The stiffness matrix of element of planar grid and planar frame. Shape functions. Boundary conditions. Modification of stiffness matrix. Vector of loads. Use of Finite Element Method to solving two-dimensional problems. Numerical modeling and simulation. Computer programming. Optimization of structure. Use of numeric the and computer simulation modelling in projecting and the verification of construction. Application of computer software in structural design (the CAE software). The structure of CAE systems. Autodesk Robot Structural Analysis software. Features of the system. General principles of work. Application of the software on example of flat rod constructions. Modeling spatial rod constructions. Modeling reinforced concrete plate. Verification and analysis of results of calculations. The preparation of report from calculations.
Recommended literature: 1. Pietrzak J., Rakowski G., Wrześniowski K., Macierzowa analiza konstrukcji, PWN Warszawa-Poznań 1979 2. Chmielewski T., Nowak H., Mechanika Budowli, Seria Wspomaganie Komputerowe CAD-CAM, WNT Warszawa 3. Ciesielski R., Kasprzyk Z., Rakowski G. i in. Mechanika budowli. Ujęcie komputerowe t.1 (t. 2,3) Arkady W-wa 1995 4. Szmelter J. Metody komputerowe w mechanice. PWN W-wa 1980 5. Tarnowski W.: Podstawy projektowania technicznego. Seria Wspomaganie Komputerowe CAD/CAM, WNT-Warszawa 1997 6. Cichoń Cz., Cecot W., Krok J., Pluciński P., Metody komputerowe w liniowej mechanice konstrukcji, Wydawnictwo Politechniki Krakowskiej, Kraków 2002 7. Ostwald M., Podstawy optymalizacji konstrukcji, Wydawnictwo Politechniki Poznańskiej Poznań 2003 8. Autodesk Robot Structural Analysis built-in help.
Assessment methods: Written exam. Three colloquia in semester, evaluation of four individual computational projects, test of operational competence of the Autodeskt Robot software. Required the level of knowledge to credit of object - 60%.
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