Abstract
The computational model of spur gear meshing stiffness is established by using the hypothesis of cantilever beam of the gear. The meshing stiffness of spur gear is calculated by analytical method, and the distributional curve of meshing stiffness is obtained by comparison with FEM. Experimental verification of simulated results is performed by mechanical test-bed of closed flow. The experimental results show that the simulation results are in good agreement with the experimental results. Based on the FEM models of gear tooth with cracks of different lengths, the comparison between degradation trends in different meshing regions that shows that the degree of degradation in a single tooth meshing area is much higher than in a double teeth meshing region. In the FEM models of gear tooth with cracks of different lengths, the stiffness degradation rate of the double tooth indentation area increases first and then decreases, and the crack length is most obvious between 4 and 8 mm.
Highlights
Excitation of time-varying meshing stiffness of gears is one of the main sources of vibration of gear system
The study of time-varying meshing stiffness has always been an important branch of gear dynamics
Based on FEM, Zhang [4] built a contact model of spur gear to calculate contact stress by simulation, which results were verified by means of calculation of Hertz equation of contact theory
Summary
Excitation of time-varying meshing stiffness of gears is one of the main sources of vibration of gear system. Tang [2] used the FEM to calculate the meshing stiffness of surface gears, and calculated stiffness of the spur gear and compared it with the existing literature He verified the correctness of this method, but did not further prove it with a test-bed. Chang [3] proposed a method to calculate the gear meshing stiffness by combining the FEM with the elastic contact theory. Lewicki [6] established the guidelines for spur gear design based on linear elastic fracture mechanics using finite element method for variety of gear tooth and rim configurations, to predict the crack propagation paths. Combining with the refined modeling method for local cells in contact bands, the contradiction between the finite element contact analysis accuracy and the calculation efficiency of gear can be solved effectively. Gear module/mm Pressure angle /° Tooth width /mm Crest height coefficient Clearance coefficient
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