After successful completion of the course, students are able to…

• mathematically describe different excitation mechanisms for forced vibrations and deterministically or probabilistically solve the equations of motion of single and multi-mass oscillators using different methods (direct integration of the equation of motion, classical modal analysis, solution of the vibration equation in phase space, numerical methods).
• apply the different calculation methods of Eurocode 8 (simplified and multimodal response spectrum method, pushover analysis, non-linear time history calculations) to building structures.
• name and design passive vibration dampers for different types of loads (earthquake, wind, machine-induced vibrations) both on the load-bearing system and the foundation.

Modal analyis of structures. Calculation of natural frequencies and mode shapes by means of numerical methods. Special problems of seismic excitation. Modal earthquake response spectra. Application to single and multiple excitation. Vibration isolation. Problems of design with emphasis on wind and earthquake excitation. Basic concepts of stochastic processes. Engine-induced oscillations.

Lectures including many numerical example problems.

All PDF documents are made available in TUWEL or TISS and remain accessible to all registered students until the end of the semester.

The lecture units are presented in presence in the lecture hall. Due to the infection process, there may be changes in the LVA mode.

Written and oral examination OR preparation (including presentation) of a project and oral examination.

Vorlesungsunterlagen werden in TUWEL zur Verfügung gestellt.