Dynamic modeling and response analysis method for S-shaped gear planetary gear train

The invention relates to a dynamic modeling and response analysis method for an S-shaped gear planetary gear train. The method comprises the following steps: firstly, based on a lumped parameter method, establishing a gear system bending-torsion coupling nonlinear dynamic model taking factors such a...

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Bibliographic Details
Main Authors YAO LIGANG, LU LING, JIA CHAO, XIAO JIANMING
Format Patent
LanguageChinese
English
Published 05.09.2023
Subjects
CALCULATING
COMPUTING
COUNTING
ELECTRIC DIGITAL DATA PROCESSING
PHYSICS
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Summary:The invention relates to a dynamic modeling and response analysis method for an S-shaped gear planetary gear train. The method comprises the following steps: firstly, based on a lumped parameter method, establishing a gear system bending-torsion coupling nonlinear dynamic model taking factors such as component deformation, gear backlash, time-varying meshing rigidity, equivalent meshing error and elastic damping into account; secondly, deriving a nonlinear motion differential equation of the S-shaped gear planetary gear train on the basis of the model, and performing dimensionless processing on the motion differential equation by using a scalar scale and a time scale; and finally, in MATLAB, a Runge-Kutta method is adopted to carry out order reduction solution on a dimensionless motion differential equation of the system, and the dynamic response of the gear meshing pair is obtained. A dynamic response analysis result shows that compared with an involute gear, the S-shaped gear planetary gear train is small i
Bibliography:Application Number: CN202310702687