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Dynamic characteristics of a straight bevel gear drive system considering multi-state meshing and time-varying parameters 1 1 Introduction 1 2 Calculation of time-varying parameters 3 2.1 Model and force analysis of straight bevel gear 4 2.2 Time-varying load distribution ratio 5 2.3 Time-varying meshing stiffness 7 3 Torsional-bending-axial dynamics modeling of the straight bevel gear drive system considered multi-state meshing 10 3.1 Torsional-bending-axial dynamics model of the straight bevel gear drive system under drive-side meshing state 10 3.2 Torsional-bending-axial dynamics model of the straight bevel gear drive system under back- drive contacting state 12 3.3 Torsional-bending-axial dynamics model of the straight bevel gear drive system under tooth disengagement state 13 3.4 Dimensionless normalized torsional-bending-axial dynamics model of the straight bevel gear drive system 14 4 Analysis of dynamic characteristics for the system under different meshing states 14 4.1 Drive-side meshing 15 4.2 Tooth disengagement 15 4.3 Back-side contacting 16 5 Influence of parameters on the dynamic characteristics of the system 18 5.1 Influence of meshing frequency, ω 18 5.2 Influence
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