228-0311/01 – Dynamics for Civil Engineers (SD)
| Gurantor department | Department of Structural Mechanics | Credits | 5 |
| Subject guarantor | prof. Ing. Stanislav Pospíšil, Ph.D. | Subject version guarantor | prof. Ing. Stanislav Pospíšil, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FAST | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Ability to use analytical solutions for basic problems in structural dynamics. Ability to use numerical methods for systems with one or more degrees of freedom.
Teaching methods
Lectures
Tutorials
Summary
Tn the subject there are introduced methods for solution of dynamics of civil engineering structures problems. There are explained analytical and numerical methods for solution of systems with one degree of freedom, of with general degrees of freedom. Aplications of these methods to civil engineering tasts is discussed.
Compulsory literature:
1. Clough, R.W. and Penzien, J. (1993) Dynamics of structures. McGraw-Hill.
2. Zienkiewicz, O. C., Taylor, R. L., Zhu: The Finite Element Method: Its Basics and Fundamentals, Butterworth-Heinemann, Burlinghton, 2005
Recommended literature:
Mario Paz. Structural Dynamics, Theory and Computation, Springer, 1993
Way of continuous check of knowledge in the course of semester
Written and oral exam.
E-learning
Other requirements
The student is oriented in the basic concepts of dynamics and dynamics of building structures and is able to solve basic problems, to create equations for systems with more degrees of freedom.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Basic principles of dynamics, energy theorems, impulse theorem, degree of freedom, D\'Alembert principle, definition of load
1. Oscillation equation, free non-damped oscillation, characteristic equation,
2. Forced oscillation of an undamped systems with one degree of freedom
3. Analogy translational and rotational motion, generalized coordinates
4. Damping, damped oscillation
5. Fourier series solutions - decomposition of periodic functions
6. The oscillation of a system with one degree of freedom of impulses, Duhamel integral
7. Vibration of pulse-loaded load-bearing systems with one degree of freedom
8. Numerical solution of differential equation of motion (interpolation method, differential method, Newmark method)
9. The system with multiple degrees of freedom, system matrix, eigen-values and eigen-vectors
10. Free oscillation of systems with multiple degrees of freedom. Forced oscillation of the system with multiple degrees of freedom
11. Oscillation of systems with distributed parameters, boundary conditions
12. Fundamentals of structural diagnostics - use of dynamic methods
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction