Dynamics of structures 1

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Mechanics

Synopsis:

Principles of theory of vibration, dynamic loading. Free and forced vibration of single-degree-of-freedom systems. Damped vibration. Methods of dynamic analysis of muti-degreee-of-freeedom 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 wave-ring 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 degree-of-freedom 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 978-80-01-05719-3

Humar J.: Dynamics of Structures, CRC Press/Balkema, 2012, ISBN 978-0-145-62086-4

Sokol M., Tvrdá K.: Dynamika stavebných konštrukcií, STU Bratislava 2011, ISBN 978-80-227-3587-2

Máca J.: Dynamika stavebních konstrukcí 1, ČVUT v Praze, 2021, https://mech.fsv.cvut.cz/web/

Note:

Further information:

https://mech.fsv.cvut.cz/cgi-bin/homeworks/student/student-identification?course=DY01

No time-table has been prepared for this course

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)