Investigation and reduction of nonlinear oscillation systems using modal approaches

(Own Funds)

Overall project:
Project leader: Kai Willner
Project members:
Start date: 1. September 2012
End date:
Acronym:
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Abstract

In this project nonlinear oscillating systems are investigated. The nonlinearity is caused by the effect of large deformations (geometrical nonlinearity) or by physical effects, like friction. A designated target is after a nonlinear modal analysis (for example on the basis of NNMs) a model reduction on the isolated nonlinear mode. Limitations for this approach are given by the nonlinear modal analysis.

Publications

Süß D., Jerschl M., Willner K.:
Adaptive harmonic balance analysis of dry friction damped systems
34th IMAC, A Conference and Exposition on Structural Dynamics, 2016
DOI: 10.1007/978-3-319-29739-2_36
Jerschl M., Süß D., Willner K., Jerschl M.:
Studies of a geometrical nonlinear friction damped system using NNMs
34th IMAC, A Conference and Exposition on Structural Dynamics, 2016
DOI: 10.1007/978-3-319-29763-7_33
Jerschl M., Willner K.:
Arclength Continuation Methods for the Investigation of Non-linear Oscillating Systems with the Concept of Non-linear Normal Modes
In: Proceedings in Applied Mathematics and Mechanics 14 (2014), p. 287--288
ISSN: 1617-7061
DOI: 10.1002/pamm.201410131
Jerschl M., Willner K.:
Design of a frequency-energy independent nonlinear oscillator
35th IMAC Conference and Exposition on Structural Dynamics, 2017
DOI: 10.1007/978-3-319-54404-5_21
Jerschl M., Süß D., Willner K., Jerschl M.:
Numerical Continuation Methods for the Concept of Non-linear Normal Modes
32nd IMAC Conference and Exposition on Structural Dynamics, 2014 (Orlando, USA)
In: Dynamics of Civil Structures 2014
DOI: 10.1007/978-3-319-04546-7_3