Analysis of Torsional Vibration Systems by the Extended Transfer Matrix Method
Author(s) -
Yuan Mao Huang,
C. D. Horng
Publication year - 1999
Publication title -
journal of vibration and acoustics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.605
H-Index - 82
eISSN - 1528-8927
pISSN - 1048-9002
DOI - 10.1115/1.2893972
Subject(s) - torsional vibration , vibration , torque , displacement (psychology) , transfer matrix , angular displacement , matrix (chemical analysis) , amplitude , control theory (sociology) , physics , mechanics , mathematics , structural engineering , engineering , acoustics , computer science , materials science , optics , psychology , control (management) , composite material , artificial intelligence , computer vision , psychotherapist , thermodynamics
This study applies the extended transfer matrix method and Newton-Raphson technique with complex numbers for torsional vibration analysis of damped systems. The relationships of the vibratory amplitude, the vibratory torque, the derivatives of the vibratory angular displacement and the vibratory torque between components at the left end and the right end of the torsional vibration system are derived. The derivatives of the vibratory angular displacement and the vibratory torque are used directly in the Newton-Raphson technique to determine the eigensolutions of systems that are compared and show good agreement with the available data.
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