| Event form | Lecture and exercise |
| Level | Master |
| Semester | Summer term |
| Creditpoints | 5 |
The exercise takes place partly as a self-study homework, whereby smaller MATLAB programs are created and used.
Goals
Students will master the modeling and analysis of linear mechanical continua. They can carry out calculations of free and externally excited vibrations and wave propagation processes and are able to:
- Derive equations of motion and boundary conditions of mechanical continua
- Calculate and interpret natural frequencies and natural modes of free vibrations
- Explain energy transport and dispersion in waves in mechanical continua
- Use approximation methods for modeling and calculation
Topics
- Free and forced vibrations of strings and rods
- Rayleigh quotient for continuous systems
- Hamilton's principle
- Ritz and Galerkin methods
- One-dimensional wave equation
- Solution of the wave equation according to D'Alembert
- Harmonic waves and wave impedance
- Free and forced oscillations of beams
- Inhomogeneous boundary conditions
- Dispersion in Euler-Bernoulli and Timoshenko beams
- Vibrations of membranes and plates
- Self-adjoint eigenvalue problems
- Acoustic waves in fluids
- Waves in elastic continua
Literature and working materials
will be provided at the course.
Dates
Lecture, exercise and examination dates as well as further information on the examinations can be found in the General Information.
Contact Person
Lecture and exercise
Prof. Dr.-Ing. Jörg Wallaschek
Executive Director
Phone
Address
An der Universität 1
30823 Garbsen
30823 Garbsen
Building
Room
Prof. Dr.-Ing. Jörg Wallaschek
Executive Director
Phone
