Open AccessLinear Feedback Control of Chaotic Motion in Gear Transmission System
Author(s) -
Junguo Wang,
Zhaoyuan Yao,
Zhuozhi Wang,
M. F. Haseen
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1550/6/062010
Subject(s) - backlash , control theory (sociology) , chaotic , stiffness , transmission (telecommunications) , bifurcation , phase plane , amplitude , computer simulation , plane (geometry) , computer science , physics , mathematics , engineering , mechanics , structural engineering , nonlinear system , control (management) , geometry , telecommunications , quantum mechanics , artificial intelligence
Considering the internal and external excitations such as backlash, time-varying mesh stiffness (TVMS), transmission error and friction force, a lumped mass model of the spur gear system is established. On this basis, the influences of the support stiffness on dynamic response including bifurcation diagrams, time response diagrams, amplitude-frequency spectrums, phase plane diagrams, Poincaré maps are examined by using numerical method. To avoid the system moving in the unstable region, a linear feedback control method (LFCM) in the gear system is realized. Numerical simulations show that the LFCM is effective and feasible, hence the gear system can be controlled from chaotic motion to stable periodic orbits by using the appropriate control parameter.