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This study presents nonlinear analysis of single degree of freedom spur gear pair with time-varying mesh stiffness. The backlash is approximated using nonlinear term. The periodic steady-state solutions of the nonlinear system are obtained by closed-form expressions using the method of multiple scales. The stability and forced vibration response of...
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The current work aims to develop a classification method devoted to gear defect diagnosis. In this paper, the proposed classification method is based on the Neural Networks, Discrete Wavelet Transform and Principal Component Analysis. A gearbox system with six degrees of freedom (DOF) is simulated in MATLAB and Simulink. Defects are introduced in t...
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... According to the previous investigations, 15,25,27,[31][32][33][34] the nonlinear backlash function can be approximated by a cubic function in order to perform more convenient predictions rather than elaborate mathematical calculations on the piecewise function. The experimental results also showed the accuracy of the gear system model with cubic fitting function. ...
Due to the complicated working conditions, the gear systems are often subjected to multifrequency excitations in practical situations. This paper is concerned with the nonlinear vibration behaviors of a spur gear pair to excitations that involve multiple frequencies. The spur gear system is described by a typical single degree of freedom model, in which the nonlinear backlash, static transmission error, and multiple harmonic excitations are taken into consideration. With the help of the multi-scale method, the nonlinear frequency–response characteristics of the spur gear system are derived and analyzed. Further, the numerical simulation and the published experimental data are utilized to validate the developed dynamic model of gear pair and to prove the practicality of the analytical method. Results show that the multifrequency excitation-based gear model could be more reliable than the simplified gear model subjected to single-frequency excitation. Thus, the established model in this work would be capable of predicting the nonlinear vibration behaviors of spur gear systems under complicated excitations. The purpose of this study is to provide references that may be of interest to engineers and researchers attempting to handle the nonlinear dynamics of gear systems.
A theoretical investigation of dynamic behaviors of helical geared multishaft rotor systems is performed in this paper. A modal synthesis is developed to calculate free and forced vibrations for geared rotor systems including more than two shafts and gears. Degrees of freedom can be reduced to save the computing time in this method. Results of reduced model are compared with those of full degrees of freedom model, to obtain the acceptable reduction of degrees of freedom without significant loss of accuracy in predicting free and forced vibrations. Then, with the help of this method, dynamic behaviors of helical geared multishaft rotor systems are investigated. Parametric studies are conducted to reveal the effects of several system parameters on the vibration characteristics. Results show the reliability and accuracy of the modal synthesis as well as its limitations of calculating responses due to high-frequency excitations, and provide some references to designers attempting to obtain desirable dynamic behaviors.
