Engineering Vibrations

Courses from the summer semester 2025

Due to the new examination regulations PO2023, the lecture / exercise is not offered from the summer semester 2025 onwards (i.e. with immediate effect).

  • The coursework (course achievement) and written exam will continue to be offered.
    Independent exam preparation is possible with the documents from the summer semester 2024, which can be found in the corresponding moodle course.
  • Students who still have to complete the coursework and/or still want to take the exam should contact Julian Vogelei, M.Sc.

Description

In the course Engineering Vibrations basic methods for the description of vibrations as well as for modelling and analysis of vibrating systems are treated. Besides systems with one degree of freedom systems with N degrees of freedom are treated and an introduction to vibrations of continuous systems is given as well.  Important phenomena are presented and discussed on the basis of typical questions in machine dynamics. The presentation concentrates on linear oscillating systems - nonlinear effects are addressed in passing.

In the course of the exercise, mechanical modelling is deepened and the application of methods for vibration analysis is demonstrated.

To­pics

  • Introduction & Motivation
  • Basic terms, kinematics of oscillations, representation of oscillations, Fourier series, Fourier integral
  • Oscillators with one degree of freedom (free & forced oscillations of linear and simple nonlinear oscillators, shielding, seism. Transducers)
  • Multi-degree-of-freedom oscillators (free & forced oscillations of MK- and MDK-systems, absorption)

Recommended pre­­re­qui­­si­­tes

  • Engineering Mechanics 1-3
  • Mathematics 1-3

Literature

  • P. Hagedorn: Technische Schwingungslehre, Springer-Verlag, (1st edition 1987)
  • P. Hagedorn, D. Hochlenert: Technische Schwingungslehre, Europa-Lehrmittel (2nd edition 2014)
  • J. Wittenburg: Schwingungslehre, Springer-Verlag (1st edition 1996)
  • W. Walter: Ordinary Differential Equations, Springer-Verlag (7th edition 2000)
  • P. Hagedorn: Technische Schwingungslehre Band 2, Springer-Verlag (1st edition 1989)

Important note on the exam

  • The examinations from the summer semester 2015 onwards for the lecture Schwingungstechnik und Maschinendynamik are based on the new lecture content of Prof. Dr.-Ing. Hartmut Hetzler.
  • Students for whom the PO 2016 is valid must pass a course achievment (compulsory levy) from the summer term (2018) onwards in order to be able to take part in the exam.

  • Registration for the course achievment takes place in eCampus.