NDLI: Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Guo, Yichao Robert, G. Parker
Copyright Year	2006
Abstract	This paper studies sensitivity of compound planetary gear natural frequencies and vibration modes to system parameters. Based on a lumped parameter model of general compound planetary gears and their distinctive modal properties [1], the eigensensitivities to inertias and stiffnesses are calculated and expressed in compact formulae. Analysis reveals that eigenvalue sensitivities to stiffness parameters are directly proportional to modal strain energies, and eigenvalue sensitivities to inertia parameters are proportional to modal kinetic energies. Furthermore, the eigenvalue sensitivities to model parameters are determined by inspection of the modal strain and kinetic energy distributions. This provides an effective way to identify those parameters with the greatest impact on tuning certain natural frequencies. The present results, combined with the modal properties of general compound planetary gears, show that rotational modes are independent of translational bearing/shaft stiffnesses and masses of carriers/central gears, translational modes are independent of torsional bearing/shaft stiffnesses and moment of inertias of carriers/central gears, and planet modes are independent of all system parameters of other planet sets, the shaft/bearing stiffness parameters of carriers/rings, and the mass/moment of inertia parameters of carriers/central gears.
Sponsorship	Design Engineering Division and Computers and Information in Engineering Division
Starting Page	655
Ending Page	672
Page Count	18
File Format	PDF
ISBN	0791847675
DOI	10.1115/IMECE2006-14978
e-ISBN	0791837904
Volume Number	Design Engineering and Computers and Information in Engineering, Parts A and B
Conference Proceedings	ASME 2006 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2006-11-05
Publisher Place	Chicago, Illinois, USA
Access Restriction	Subscribed
Subject Keyword	Vibration Gears Inertia (mechanics) Lumped parameter models Bearings Eigenvalues Inspection Stiffness Kinetic energy Planetary gears
Content Type	Text
Resource Type	Article

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