The dynamic torsional analysis of gear train systems has implemented many practical system designs. A computer analysis to predict the steady-state torsional response of a gear train system is presented in reference [1]. The current paper extends this work to the linear and nonlinear transient analysis of complex torsional gear train systems. Factors considered in the formulation are time-varying gear tooth stiffness, gear web rigidity, gear tooth backlash, shafts of nonuniform cross section, linear and nonlinear damping elements, multishock loadings, and complex-geared branched systems. For linear systems, the equations of transient motion are derived and closed-form solutions can be obtained by the state transition method [2]. For nonlinear systems, numerical methods are also presented. The method may be used as a means to analyze gear train start/stop operational problems, as well as constant speed response subject to internal and external disturbances.
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February 1974
This article was originally published in
Journal of Engineering for Industry
Research Papers
Analysis of Nonlinear Transient Motion of a Geared Torsional Available to Purchase
S. M. Wang
S. M. Wang
Valley Forge Div., Computer Peripherals Inc., Norristown, Pa.
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S. M. Wang
Valley Forge Div., Computer Peripherals Inc., Norristown, Pa.
J. Eng. Ind. Feb 1974, 96(1): 51-59
Published Online: February 1, 1974
Article history
Received:
July 18, 1972
Online:
July 15, 2010
Citation
Wang, S. M. (February 1, 1974). "Analysis of Nonlinear Transient Motion of a Geared Torsional." ASME. J. Eng. Ind. February 1974; 96(1): 51–59. https://doi.org/10.1115/1.3438330
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