Calculation method for time-varying meshing stiffness of cracked gears based on extended cantilever beam model
LIU Zongyao
WANG Yutong
LI Jiabao
FENG Wei
LIU Baoguo
Abstract：[Objective]When calculating the time-varying meshing stiffness based on the potential energy method,the length and position of the traditional cantilever beam model are usually fixed,and the change of the position of the cantilever beam root caused by crack propagation is ignored,which brings a large error to the accurate obtaining of the meshing stiffness.To solve the above problems,considering the increase of the length of the cantilever beam model caused by crack propagation,a method for calculating the time-varying meshing stiffness of cracked gears based on the extended cantilever beam model was proposed.[Methods]According to the proposed method,the effective section moment of inertia and the effective bearing area of the gear which decrease due to gear root crack propagation were calculated.On this basis,different crack stages were divided according to the crack length,and the time-varying meshing stiffness of the gear under different crack stages was calculated.The finite element model(FEM)of gear meshing was established to verify the proposed method.[Results]The results show that,compared with the traditional cantilever beam model,the meshing stiffness calculated by the proposed method is closer to the finite element model because the propagation energy of the crack propagation part is taken into account,which verifies the effectiveness and accuracy of the proposed method.
Keywords：Potential energy methodGear root crackTime-varying meshing stiffnessFEM
Publication Date：2025-11-15
Online Publishing Date：2026-09-12(First online date of this platform, not the publication date of the document)
Pages：7( 42-48 )