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Parameter Variation on Nonlinear Energy Sink attached to Multiple Degree of Freedom System
Author(s) -
Jahn Martin,
Panning-von Scheidt Lars,
Wallaschek Jörg
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900272
Subject(s) - nonlinear system , harmonic balance , vibration , stiffness , control theory (sociology) , reduction (mathematics) , work (physics) , mechanics , structural engineering , physics , mathematics , engineering , computer science , acoustics , mechanical engineering , geometry , control (management) , quantum mechanics , artificial intelligence
The importance of lightweight structures has increased in the last years motivated by the goals of improving efficiency of vehicles and conserving resources. In most cases the loss of weight by using fewer or lighter materials is accompanied by a reduction of the structures stiffness having a strong effect on occuring vibrations. Even if the damping ratio of the structure remains unchanged, by reducing weight and stiffness the vibration amplitudes might increase if the vibration excitation stays the same. Damping elements might be introduced to the structure mitigating critical resonance gains of the structure to reduce these vibrations. In this work the dynamics of a linear multiple degrees of freedom structure with a nonlinear damping element are investigated. The damping element is chosen to have a nonlinear characteristic to allow for a situation adaptive design. Numerical parameter studies are carried out to optimize the resulting damping of the entire structure. The nonlinear equation of motion is solved by applying the Harmonic Balance Method. The evaluation of the performance of the nonlinear damping element is done by consideration of the nonlinear frequency response functions of the structure.