Training Course: Nonlinear Dynamics / Harmonic Balance Method (12 - 13 November 2025)

Nonlinear Dynamics / Harmonic Balance Method

Several nonlinear effects can be handled by dynamic analyses in PERMAS. The nonlinearities are modeled by special discrete nonlinear elements.
The training shows the calculation methods for non-linear dynamics in the time and frequency domain (Harmonic Balance Method). The course begins with an introduction to nonlinear dynamics using a single-mass oscillator with a nonlinear spring (Duffing oscillator). Various non-linear effects are demonstrated using this example. This is followed by a definition of the extended periodic approach with a finite Fourier series compared to linear dynamics. The coupling of the harmonics through the non-linear effects is discussed here.
After the theoretical introduction, the PERMAS application begins.
What possibilities does PERMAS offer in harmonic balance? What are the most important parameters and how can I interpret my results? Which element types are supported? How can I incorporate modal reduction into my Harmonic Balance? How are results transformed from the time domain to the frequency domain? Which variables influence the computing time? What are my options for determining whether my solution has converged? All the training topics are supplemented by short exercises based on simple, practical examples, which participants can carry out on the computer in the seminar room or at the workplace during face-to-face and online training.