228-0210/01 – Special numerical methods (SNM)

Gurantor departmentDepartment of Structural MechanicsCredits5
Subject guarantorprof. Ing. Martin Krejsa, Ph.D.Subject version guarantorprof. Ing. Martin Krejsa, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year4Semestersummer
Study languageCzech
Year of introduction2016/2017Year of cancellation
Intended for the facultiesFASTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRE13 prof. Ing. Martin Krejsa, Ph.D.
LEH061 Ing. Petr Lehner, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+2

Subject aims expressed by acquired skills and competences

This course is focuses on: · Deepening the knowledge of using MATLAB in the formation of engineering applications, · Mastering advanced methods of numerical mathematics and its application in solving problems of structural mechanics, · Deepening the knowledge of programming and algorithms.

Teaching methods

Lectures
Tutorials

Summary

The course focuses on advanced use of computer technology for engineering tasks and to deepen the theoretical foundations in the field of structural mechanics. The prerequisite is knowledge of algorithm engineering problems, numerical mathematics and creating applications in MATLAB.

Compulsory literature:

1. Sauer T. Numerical Analysis. George Mason University. Pearson Education, Inc., 2006. (669 s). ISBN 0-321-26898-9. 2. Ralston, A. Základy numerické matematiky. 1. vydání. Academia, Praha, 1973. (635 s). 3. Wirth, N., Algoritmy a štruktúry údajov. 1. vydanie. Alfa, vydavateľstvo technickej a ekonomickej literatúry, Bratislava, 1988. (488 s). 4. Algoritmus. Webové stránky zaměřené na tvorbu algoritmů. [on-line]. .

Recommended literature:

1. Krejsa, M., Algoritmizace inženýrských výpočtů, učební texty v obrazovkové verzi i ve verzi pro tisk, VŠB-TU Ostrava, 2011. 2. Hamming R.W. Introduction to Applied Numerical Analysis. Dover Publications, Inc., New York, 1989. (331 s) ISBN 978-0-486-48590-4. 3. Hamming, R. W. Numerical Methods for Scientists and Engineers. 2. vydání. Dover Publications, Inc., New York, 1973. (720 s) ISBN 978-0-486-65241-2. 4. Mika, S. Numerické metody algebry. Matematika pro vysoké školy technické. 2. vydání. SNTL - Nakladatelství technické literatury, Praha, 1985. (176 s). 5. Olehla, M., Tišer, J., Praktické použití Fortranu. 2. upravené vydání. Nakladatelství dopravy a spojů, Praha, 1979. (432 s). 6. Materna, A., Štěpánek, P., Teplý, B., Automatizace inženýrských úloh. Skriptum. Vysoké učení technické v Brně, 1985. (132 s).

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse). Tasks assigned on the exercises must be hand in within the dates set by the teacher.

Prerequisities

Subject codeAbbreviationTitleRequirement
228-0214 AIV Alghoritmisation of engineering computations Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures and exercises: The first transmission matrix: Derivation, load assignment, demonstration examples. Second geometrically nonlinear truss structures: Derivation, general deformation method and its applications, iteration geometrically linear calculation planar truss construction according to theory II. Regulations demonstration examples. 3. The stability of compressed bars using the principle of virtual work: Stability of slender compression members using the principle of virtual work and Theory II. Regulations derivation, applications, iterative solutions buckling resistance of slender compression members, compared with the exact analytical solution by Euler demonstration examples. 4. Proper values ​​and vectors: Introduction, numerical methods for solving eigenvalues ​​and associated eigenvectors, partial and total eigenvalues, practical use in problems of structural mechanics. 5. Own frequencies and shapes of self-oscillation: Introduction, orthogonality of the eigenmodes, normalized mode shapes. Determining the natural frequencies and natural vibration shapes with simple structures. 6. Random variables and probabilistic simulation calculations: Random variable - discrete random variable, continuous random variables. Parametric probability distribution, non-parametric (empirical) probability distribution. Generate random variables in Matlab. Probabilistic assessment of the supporting element.

Conditions for subject completion

Full-time form (validity from: 2017/2018 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded credit Graded credit 100  51
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 4 Compulsory study plan
2020/2021 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 4 Compulsory study plan
2019/2020 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 4 Compulsory study plan
2018/2019 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 4 Compulsory study plan
2017/2018 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 4 Compulsory study plan
2016/2017 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 4 Compulsory study plan

Occurrence in special blocks

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