Dynamics of Structures

Garant předmětu:

Jaroslav Kruis

Lecturer:

Jaroslav Kruis

Tutor:

Jaroslav Kruis

Supervisor:

Department of Mechanics

Synopsis:

The course is devoted to vibration of structures caused by various types of load.

Requirements:

no prerequisities

Syllabus of lectures:

1. stiffness, D'Alembert principle, free vibration of systems with single degree of freedom

2. free vibration of systems with single degree of freedom

3. forced vibration of systems with single degree of freedom

4. rotational vibration of systems with single degree of freedom (free, forced)

5. damped vibration of systems with single degree of freedom

6. systems with multiple degrees of freedom, stiffness matrix, mass matrix, eigenvalues and eigenvectors

7. free vibration of systems with multiple degrees of freedom

8. forced vibration of systems with multiple degrees of freedom, harmonic load

9. steady state vibration of systems with multiple degrees of freedom, seismic load

10. damped vibration, Rayleigh damping

11. impact load, response to impact

12. vibration of continuous systems

13. numerical methods (inverse iteration method, Newmark method)

Syllabus of tutorials:

1. stiffness, D'Alembert principle, free vibration of systems with single degree of freedom

2. free vibration of systems with single degree of freedom

3. forced vibration of systems with single degree of freedom

4. rotational vibration of systems with single degree of freedom (free, forced)

5. damped vibration of systems with single degree of freedom

6. systems with multiple degrees of freedom, stiffness matrix, mass matrix, eigenvalues and eigenvectors

7. free vibration of systems with multiple degrees of freedom

8. forced vibration of systems with multiple degrees of freedom, harmonic load

9. steady state vibration of systems with multiple degrees of freedom, seismic load

10. damped vibration, Rayleigh damping

11. impact load, response to impact

12. vibration of continuous systems

13. numerical methods (inverse iteration method, Newmark method)

Study Objective:

Students will be able to solve free and forced vibrations, damped and undamped vibrations. Students will be able to deal with models of structures with single and multiple degrees of freedom. Students will be familiar with basic numerical methods for eigenvibration and forced vibration.

Study materials:

! 1. Clough, R.W. and Penzien, J. (1993) Dynamics of structures. McGraw-Hill. ISBN 0-07-113241-4

! 2. Bittnar, Z. and Šejnoha, J. (1996) Numerical methods in structural engineering. ASCE Press. ISBN 978-0727725554.

Note:

Further information:

http://mech.fsv.cvut.cz/~jk

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed	roomTH:B-785 08:00–09:50 (lecture parallel1) Thákurova 7 (budova FSv) B785roomTH:B-785 10:00–11:50 (lecture parallel1 parallel nr.101) Thákurova 7 (budova FSv) B785
Thu
Fri

The course is a part of the following study plans:

• Civil Engineering (compulsory course)
• Civil Engineering (compulsory course)