228-0210/01 – Special numerical methods (SNM)
Gurantor department | Department of Structural Mechanics | Credits | 5 |
Subject guarantor | prof. Ing. Martin Krejsa, Ph.D. | Subject version guarantor | prof. Ing. Martin Krejsa, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 4 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2016/2017 | Year of cancellation | 2023/2024 |
Intended for the faculties | FAST | Intended for study types | Bachelor |
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:
Recommended literature:
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
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction