Advantages and drawbacks of applying periodic time-variant modal analysis to spur gear dynamics

A simplified torsional model with a reduced number of degrees-of-freedom is used in order to investigate the potential of the technique. A time-dependent gear mesh stiffness function is introduced and expanded in a Fourier series. The necessary number of Fourier terms is determined in order to ensur...

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Bibliographic Details
Published in:Mechanical systems and signal processing 2010-07, Vol.24 (5), p.1495-1508
Main Authors: Pedersen, Rune, Santos, Ilmar F., Hede, Ivan A.
Format: Article
Language:English
Subjects:
Applied sciences
Drives
Eigenvectors
Exact sciences and technology
Fourier series
Fundamental areas of phenomenology (including applications)
Gear dynamics
Gears
Mathematical models
Measurement and testing methods
Mechanical engineering. Machine design
Mechanical systems
Modal analysis
Parametric vibration
Physics
Solid mechanics
Sorting
Spur gears
Structural and continuum mechanics
Time-variant systems
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Wind turbines
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Summary:A simplified torsional model with a reduced number of degrees-of-freedom is used in order to investigate the potential of the technique. A time-dependent gear mesh stiffness function is introduced and expanded in a Fourier series. The necessary number of Fourier terms is determined in order to ensure sufficient accuracy of the results. The method of time-variant modal analysis is applied, and the changes in the fundamental and the parametric resonance frequencies as a function of the rotational speed of the gears, are found. By obtaining the stationary and parametric parts of the time-dependent modes shapes, the importance of the time-varying component relative to the stationary component is investigated and quantified. The method used for calculation and subsequent sorting of the left and right eigenvectors based on a first order Taylor expansion is explained. The advantages and drawbacks of applying the methodology to wind turbine gearboxes are addressed and elucidated.
ISSN:0888-3270
1096-1216
DOI:10.1016/j.ymssp.2009.12.009