Description:

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

Contents:

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)

Seminar contents:

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)

Recommended literature:

! 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.

Keywords:

dynamics, free vibration, forced vibration, damping, stiffness matrix, mass matrix, eigenvectors, eigenfrequencies, inverse iteration method, Newmark method

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar