Harmonic reducer cup-shaped flexible gear multi-tooth meshing composite stress solving method

Abstract

The invention discloses a harmonic reducer cup-shaped flexible gear multi-tooth meshing composite stress solving method. The method comprises steps of firstly, solving three component forces, namely radial stress sigma 1, circumferential stress sigma 2 and shearing stress tau 12, of bending stress caused by supporting deformation of a flexible gear by a wave generator; solving the meshing tooth number N according to the geometrical relationship between flexible gear deformation and meshing; numbering the meshing tooth pairs respectively based on the meshing tooth number obtained in the S2, andextracting three component forces, namely radial stress sigma 1 ', circumferential stress sigma 2' and shearing stress tau 12 ', of the flexible gear tooth root torsional stress in the multi-tooth meshing process by using a finite element method. The bending and twisting combined stress of the flexible gear is calculated; and calculating the radial stress sigma r, the circumferential stress sigmac and the shear stress tau s on the basis of the combination of the thin-walled cylinder theory and the simulation analysis method. Bending stress and torsional stress of the cup-shaped flexible gearare effectively distinguished, the defect that a pure simulation method does not distinguish stress types is overcome, composite stress solving is more accurate, efficiency is higher, and a foundation is laid for stress analysis and service life prediction of the flexible gear.

Description

technical field [0001] The invention belongs to the field of mechanical analysis of gears, and in particular relates to a method for solving the compound stress of a multi-tooth mesh of a harmonic reducer flex wheel Background technique [0002] Harmonic reducers are widely used in robotics, space technology, energy, bionics and other fields due to their large speed ratio, high precision and long life. The meshing stress of the flexible wheel and the rigid wheel of the harmonic reducer is the key technical index that determines the life of the harmonic reducer. It is determined by the stress spectrum of the whole process. At present, finite element simulation is mostly used to solve the multi-tooth meshing stress of harmonic reducer to determine the meshing tooth pair distribution and meshing stress, but finite element simulation can neither reflect the combined effect of bending stress and torsional stress in the meshing process of flex gear teeth , and also lacks the ext...

AI Technical Summary

Problems solved by technology

At present, finite element simulation is mostly used to solve the multi-tooth meshing stress of harmonic reducer to determine the meshing tooth pair distribution and meshing stress, but finite element simulation can neither reflect the combined effect of bending stress and torsional stress in the meshing process of flex gear teeth , also lacks the extraction of the stress spectrum in the entire meshing process, resulting in the distortion of the obtained stress value, which cannot effectively support the life prediction. Therefore, the present invention proposes a method for solving the composite stress of the multi-tooth meshing of the harmonic reducer cup-type flexwheel

Images