Technical Mechanics - Supplementary Course

In continuum mechanics the focus is laid on the development of selected continuum mechanical solutions by means of energy methods, principle of virtual work and weighted residuum methods.
Basic methods for structural dynamics are refined for structural engineers. Knowledge of structural dynamic effects is evident for the examination of loads induced by wind, earthquakes, pedestrians, vehicles etc.
Approximative methods, which are useful practical engineering tasks e.g. for the determination of eigenfrequencies are offered. The relevant structural dynamical load cases for practical problems like vibrations caused by pedestrians, wind, earthquakes or church bells are discussed.
In addition dynamical loads of moving systems are explained.

Thematic outline:
- Newtons law, d'Alembert's principle
- Energy methods
- Free damped vibrations
- Forced damped vibrations
- Damped vibrations caused by ground movement
- Vibration of an Euler-Bernoulli-beam
- Approximation of eigenfrequencies
- Linear displacement
- Plane displacement of a mass
- Plane displacement of a disc
- Rolling and slipping
- Impulse and energy considerations
- Ideal central collision of compact bodies
- Angular momentum
- Internal forces caused by displacement