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A comparison of methods for approximating periodic limit cycles in nonlinear systems with joint friction
Author(s) -
Kappauf Jonas,
Hetzler Hartmut
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800341
Subject(s) - harmonic balance , nonlinear system , limit (mathematics) , brake , disc brake , limit cycle , energy balance , joint (building) , control theory (sociology) , mathematics , mechanics , mathematical analysis , computer science , physics , structural engineering , engineering , automotive engineering , control (management) , quantum mechanics , artificial intelligence , thermodynamics
In this contribution, approximation methods for calculating periodic limit cycles of self‐excited dynamical systems with frictional damping are studied. In industrial application, e.g. the analysis of brake squeal, the so‐called Energy‐Balance has attracted a lot of interest [3], while rather classical Harmonic Balance methods are commonly used in non‐linear analysis. Focussing on the effect of both smooth and non‐smooth non‐linearities, limit cycles were calculated for two minimal models, which are commonly used when dealing with NVH or brake squeal analysis. Moreover these two methods are compared in terms of accuracy and numerical effort.