Technical Vibration Theory

For the latest information on course activities and exam office hours, please refer to the current OLAT course.

Contents

From Technical Vibration Theory I:

  • Principles of Mechanics (d’Alembert’s Principle, Lagrange, Hamilton)
  • Free and forced vibrations with and without damping in systems with one or more degrees of freedom
  • Lagrange’s Equations of the Second Kind (one and two degrees of freedom, resonance, damping)
  • Vibrations of continuous systems (string, tension and torsion rods, beams, wave propagation, d’Alembert’s and Bernoulli’s solutions)

 

From Technical Vibration Theory II:

  • Spatial motions (the theorem of forces and moments in space)
  • Modeling and determination of characteristic parameters of mechanical structures
  • Dynamics of Rotors (Balancing, Laval Rotor)
  • Fourier series and Fourier transform of non-harmonic excitations

 

References

Technical Mechanics, Volume 3 – Kinetics; Gross, Hauger, Schröder, Wall, Springer Vieweg

Engineering Mechanics, Volume 4 – Hydromechanics, Elements of Advanced Mechanics,

Numerical Methods; Gross, Hauger, Wriggers, Springer Vieweg

Dresig, Holzweißig: Machine Dynamics, Springer-Verlag.

Gasch, Knothe: Structural Dynamics, Volume 1, Springer-Verlag.

Information About the Exam

Please refer to the OLAT course for all important information regarding the exam procedure

https://olat.vcrp.de/url/RepositoryEntry/4115300670

Registration for the Mock Exam

Please send your provisional registrations to the office between July 6, 2026, and July 24, 2026, at the latest: cpe-sekretariat@mv.rptu.de, Ms. Angelika Weis