Dynamics of structures 1
Code  Completion  Credits  Range  Language 

132DY01  Z,ZK  5  2P+2C  Czech 
 Garant předmětu:
 Jiří Máca
 Lecturer:
 Jiří Máca
 Tutor:
 Kristian D'Amico, Tomáš Krejčí, Karel Pohl
 Supervisor:
 Department of Mechanics
 Synopsis:

Principles of theory of vibration, dynamic loading. Free and forced vibration of singledegreeoffreedom systems. Damped vibration. Methods of dynamic analysis of mutidegreeeoffreeedom systems.
 Requirements:

132SM3
 Syllabus of lectures:

1. Dynamic loads, basic principles of dynamics.
2. System with 1 degree of freedom  free vibration.
3. System with 1 degree of freedom  forced vibration
4. System with 1 degree of freedom system  rotational vibration, applications
5. System with n degrees of freedom  natural vibration
6. System with n degrees of freedom  free vibration
7. System with n degrees of freedom  forced vibration
8. System with n degrees of freedom  approximate solution methods, applications
9. Damped vibration
10. Response to impact loading
11. Response to machine loading
12. Response to wind loads
13. Response to seismic loading
 Syllabus of tutorials:

1. Oscillation of systems with 1 degree of freedom  introduction to the subject, homework assignments, repetition of the calculation of stiffness and compliance on simple models of structures, repetition of the principle of virtual works
2. Oscillations of systems with 1 degree of freedom  solution of natural undamped and free undamped oscillations for a system with one degree of freedom
3. Vibration of systems with 1 degree of freedom  calculation of stiffness and compliance of complex systems with 1 degree of freedom
4. Oscillation of systems with 1 degree of freedom  solution of forced undamped oscillation for a system with one degree of freedom
5. Vibrations of systems with n degrees of freedom  method of stiffness constants, calculation of stiffness matrix on examples with two or more degrees of freedom
6. Oscillation of systems with n degrees of freedom  method of stiffness constants, calculation of stiffness matrix on examples with two or more degrees of freedom
7. Oscillations of systems with n degrees of freedom  calculation of wavering frequencies and waveforms on examples of systems with two degrees of freedom (simple school examples, practical examples  bent structures  beams, frames)
8. Oscillations of systems with n degrees of freedom  approximate methods of calculating the first wave of circular frequency and the first waveform for systems with two or more degrees of freedom (energy method, method of successive approximations)
9. Oscillations of systems with n degrees of freedom  free and forced undamped oscillations of systems with two degrees of freedom  solution by decomposition into eigenmodes
10. Damped oscillations  problems with one degree of freedom for free damped oscillations (damping types) and forced damped oscillations; problems with two degrees of freedom for forced damped oscillations (Rayleigh damping)
11. Impact loading  one degree of freedom problems, elastic and plastic shock
12. Impact loading  problems with two degrees of freedom, solution of free vibrations from shock loading by decomposition into eigenmodes
13. Reserve  exam information
 Study Objective:

Students will be able to solve free and forced vibration of systems with one degreeoffreedom and they will be acquainted with methods of dynamic analysis of discrete systems.
 Study materials:

Máca J., Kruis J., Krejčí T.: Dynamika stavebních konstrukcí, ČVUT v Praze, 2018, ISBN 9788001057193
Humar J.: Dynamics of Structures, CRC Press/Balkema, 2012, ISBN 9780145620864
Sokol M., Tvrdá K.: Dynamika stavebných konštrukcií, STU Bratislava 2011, ISBN 9788022735872
Máca J.: Dynamika stavebních konstrukcí 1, ČVUT v Praze, 2021, https://mech.fsv.cvut.cz/web/
 Note:
 Further information:
 https://mech.fsv.cvut.cz/cgibin/homeworks/student/studentidentification?course=DY01
 Timetable for winter semester 2023/2024:
 Timetable is not available yet
 Timetable 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 Thu Fri  The course is a part of the following study plans:

 Stavební inženýrství, obor Konstrukce pozemních staveb (compulsory course)
 Stavební inženýrství, obor Konstrukce a dopravní stavby (compulsory course)
 Stavební inženýrství  pozemní stavby, specializace Statika pozemních staveb (compulsory course)