Ing. Lubomír Houfek, Ph.D.

Institute of Solid Mechanics, Mechatronics and Biomechanics

The students will have detailed knowledge of vibration of systems with single and several degrees of freedom. They will be able to calculate eigenfrequencies and responses of these systems with different types of excitation. They will be able to solve practical problems that can be modeled in this way. The student will have knowledge of the vibration of basic continuum bodies. They will be able to create models using finite element method and multi-body systems. The students will be able to apply the basic numerical methods for solving problems of linear vibrations.

Linear algebra, differential equations, strength of materials, kinematics of particles and bodies, dynamics of particles and bodies, numerical methods of linear algebra and ODE solutions, MATLAB or Python programming.

The course is taught through lectures explaining the basic principles and theory of the discipline. Seminars are focused on practical topics.

The course-unit credit is granted under the condition of active participation in seminars and gain at least 20 points of 40. The points can be obtained by elaboration of partial tasks and presentations. The gained points from the exercise is part of the final classification of the subject.
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.

Czech

The aim of the course is to build on and deepen the knowledge of linear vibrations acquired in the course Dynamics. Students get to knowing with linear vibrations of systems with one, two and N degrees of freedom for systems with concentrated parameters. From systems with distributed parameters the course will be focused on strings, beams, membranes, plates and shells. Both analytical solution and necessary numerical methods will be learning.

Attendance at practical training is obligatory. Head of seminars carry out continuous monitoring of student's presence, their activities and basic knowledge. One absence can be compensated for by elaboration of substitute tasks.

Programme N-MET-P: Mechatronics, Master's
branch ---: no specialisation, 5 credits, compulsory

Programme N-IMB-P: Engineering Mechanics and Biomechanics, Master's
branch BIO: Biomechanics, 5 credits, compulsory

Programme N-IMB-P: Engineering Mechanics and Biomechanics, Master's
branch IME: Engineering Mechanics, 5 credits, compulsory

26 hours, compulsory

doc. Ing. Zdeněk Hadaš, Ph.D.
Ing. Lubomír Houfek, Ph.D.
Ing. Filip Kšica, Ph.D.
Ing. Jan Pokorný, Ph.D.
doc. Ing. Stanislav Věchet, Ph.D.

1. Introduction to vibration of dynamic systems, building model, derivation of dynamic equations
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