Course detail
Dynamics II - Linear Vibration
FSI-R2DAcad. year: 2022/2023
The course is focused on teaching linear vibrations of systems with concentrated and distributed parameters (strings, beams, plates, membranes and shells). The course is aimed at comparing analytical and numerical solutions to problems that overlap with numerical solutions to general problems that do not have an analytical solution. Students will be practically acquainted with a number of numerical methods aimed at solving their own problems and solving the system response to various exciting effects. Students will have to program different numerical methods themselves to demonstrate their understanding.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Final examination: The exam is divided into two parts. The evaluation of the exam is based on the classifications of each part. If one of the parts is graded F, the final grade of the exam is F. The content of the first part is a test, of which a maximum of 30 points can be obtained. The content of the second part is a solution of typical problems. It is possible to gain up to 30 points from this part. The form of the exam, types, number of examples or questions and details of the evaluation will be given by the lecturer during the semester.
The final evaluation is given by the sum of the points gained from the exercises and exam. To successfully complete the course, it is necessary to obtain at least 50 points, where the maximum of 100 ECTS points can be reached.
Course curriculum
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
de Silva, C. (Ed.). (2005). Vibration and Shock Handbook. Boca Raton: CRC Press, https://doi.org/10.1201/9781420039894 (EN)
Inman, D. J. (1994). Engineering vibration. Englewood Cliffs, N.J: Prentice Hall. (EN)
Recommended reading
Elearning
Classification of course in study plans
- Programme N-IMB-P Master's
specialization IME , 1 year of study, winter semester, compulsory
specialization BIO , 1 year of study, winter semester, compulsory - Programme N-MET-P Master's 1 year of study, winter semester, compulsory
- Programme LLE Lifelong learning
branch CZV , 1 year of study, winter semester, compulsory
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Vibrations of systems with one degree of freedom
3. Vibrations of systems with one degree of freedom
4. Methods of vibration visualization, systems with one degree of freedom
5. Vibrations of systems with two degrees of freedom, dynamic dampers
6. Vibrations of systems with n degrees of freedom
7. Numerical methods for solving systems with n degrees of freedom
8. Numerical methods for solving systems with n degrees of freedom
9. Vibrations of strings and beams
10. Vibrations of membranes and plates
11. Vibrations of shells
12. Approximate methods of continuum vibration solution
13. Summary
Computer-assisted exercise
Teacher / Lecturer
Syllabus
2. Analytical and numerical solution of systems with one degree of freedom.
3. Analytical and numerical solution of systems with one degree of freedom.
4. Characteristics of vibration systems
5. Semestral project
6. Vibrations with n degrees of freedom, problem of eigenvalues
7. Vibrations with n degrees of freedom, system response to excitation
8. Numerical methods applicable to systems with n degrees of freedom
9. Vibrations of strings and beams
10. Vibrations of membranes and plates
11. Vibrations of shells
12. Semestral project
13. Semestral project
Elearning