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Prevention of Stick‐Slip Vibrations by Passive Normal Force Control
Author(s) -
Rudolph Martin,
Popp Karl
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310020
Subject(s) - slipping , vibration , slip (aerodynamics) , residual , control theory (sociology) , mechanics , amplitude , limit cycle , classical mechanics , physics , limit (mathematics) , structural engineering , engineering , computer science , mathematics , acoustics , mathematical analysis , control (management) , optics , algorithm , artificial intelligence , thermodynamics
The classical stick‐slip oscillator is extended by an additional degree of freedom which couples the slipping motion to the normal force. Using this, the effective friction force can be altered without changing the friction‐velocity characteristic. The paper deals with the optimization problem of finding parameters of the additional system that prevent stick‐slip motion or minimize the amplitude of the residual limit cycle. Another goal is to increase the decay rate of vibration. Results were achieved by numerical integration based on analytical investigations.