Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error

A rotating gear pair experiences high vibration and noise mainly due to tooth profile error, mounting error, tooth wear, friction backlash and periodic change of meshing stiffness. The combined effect of the manufacturing error, mounting error and elastic tooth deformation is considered as the stati...

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Main Author: Sanyal, Joydip
Format: Others
Published: 2007
Online Access:http://spectrum.library.concordia.ca/975823/1/MR40922.pdf
Sanyal, Joydip <http://spectrum.library.concordia.ca/view/creators/Sanyal=3AJoydip=3A=3A.html> (2007) Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error. Masters thesis, Concordia University.
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-QMG.9758232013-10-22T03:47:25Z Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error Sanyal, Joydip A rotating gear pair experiences high vibration and noise mainly due to tooth profile error, mounting error, tooth wear, friction backlash and periodic change of meshing stiffness. The combined effect of the manufacturing error, mounting error and elastic tooth deformation is considered as the static transmission error that introduces internal displacement excitation within the gear pair. Such internal excitation generates torsional vibration through the driving and driven shafts even in absence of external excitations. Thus the vibration problem of a geared system involves homogeneous equations of motion with time dependent boundary conditions. The present research is to investigate the torsional vibrations of a geared system by developing a continuous model that converts the homogeneous equations with non-homogeneous boundary conditions into non-homogeneous equations with homogeneous boundary conditions. The influence of friction, tooth wear, backlash and other nonlinear variables have been ignored in the formulation. The free vibration results of the proposed model are validated by developing the classical Rayleigh-Ritz model with Bhat's boundary characteristic orthogonal polynomial functions. The results are also validated by performing experiments in the laboratory for a simple geared system. Torsional vibration responses are determined in both time and frequency domains. In addition to the proposed continuous model the discrete model is simulated to determine torsional vibrations and dynamic torque generated due to static tooth error. The experimental investigations are carried out by measuring free torsional vibrations with strain gauge and frequency analysis by a spectrum analyzer 2007 Thesis NonPeerReviewed application/pdf http://spectrum.library.concordia.ca/975823/1/MR40922.pdf Sanyal, Joydip <http://spectrum.library.concordia.ca/view/creators/Sanyal=3AJoydip=3A=3A.html> (2007) Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error. Masters thesis, Concordia University. http://spectrum.library.concordia.ca/975823/
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format Others
sources NDLTD
description A rotating gear pair experiences high vibration and noise mainly due to tooth profile error, mounting error, tooth wear, friction backlash and periodic change of meshing stiffness. The combined effect of the manufacturing error, mounting error and elastic tooth deformation is considered as the static transmission error that introduces internal displacement excitation within the gear pair. Such internal excitation generates torsional vibration through the driving and driven shafts even in absence of external excitations. Thus the vibration problem of a geared system involves homogeneous equations of motion with time dependent boundary conditions. The present research is to investigate the torsional vibrations of a geared system by developing a continuous model that converts the homogeneous equations with non-homogeneous boundary conditions into non-homogeneous equations with homogeneous boundary conditions. The influence of friction, tooth wear, backlash and other nonlinear variables have been ignored in the formulation. The free vibration results of the proposed model are validated by developing the classical Rayleigh-Ritz model with Bhat's boundary characteristic orthogonal polynomial functions. The results are also validated by performing experiments in the laboratory for a simple geared system. Torsional vibration responses are determined in both time and frequency domains. In addition to the proposed continuous model the discrete model is simulated to determine torsional vibrations and dynamic torque generated due to static tooth error. The experimental investigations are carried out by measuring free torsional vibrations with strain gauge and frequency analysis by a spectrum analyzer
author Sanyal, Joydip
spellingShingle Sanyal, Joydip
Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error
author_facet Sanyal, Joydip
author_sort Sanyal, Joydip
title Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error
title_short Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error
title_full Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error
title_fullStr Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error
title_full_unstemmed Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error
title_sort dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error
publishDate 2007
url http://spectrum.library.concordia.ca/975823/1/MR40922.pdf
Sanyal, Joydip <http://spectrum.library.concordia.ca/view/creators/Sanyal=3AJoydip=3A=3A.html> (2007) Dynamic response of geared shaft systems with time-dependent boundary conditions subjected to static transmission error. Masters thesis, Concordia University.
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