An Improved Contact Analysis Method for Tooth Loading

Abstract

The present invention discloses a modified method for gear teeth loading contact analysis. The method obtains a tooth surface equation and a normal vector equation of the gear through geometric calculation based on deformation compatibility conditions; and performing gear teeth contact analysis with no load on such basis to obtain contact prints and transmission error by the gear engagement, principal curvature and principal direction of the tooth surfaces, and derivative method curvature of the tangent tooth surfaces, thereby establishing a relation within the size of the contact oval, the amount of compression of the tooth surface, and the load; determining load distribution of the gear by combining with Hertz theoretical formula and a flexibility coefficient method, considering effect from an installing error and a supporting error, and nonlinearity of the contact flexibility coefficient; and according to a load distribution result among the teeth, using the Hertz formula to calculate a tooth surface pressure distribution and a contact stress distribution at a certain moment of the large and small gears, and using a three-dimensional finite element model to perform stress calculation to obtain a reliable bending stress. The gear teeth loading contact analysis method plays an important role in design, calculation and application of the technical field of gears.

Description

technical field [0001] The invention belongs to the field of gear structure design and analysis, and in particular relates to an improved gear tooth loading contact analysis method. Background technique [0002] The tooth-loaded contact analysis (LTCA) method has attracted extensive attention at home and abroad, but a large number of studies are still on the basis of tooth contact analysis. How to establish a good bridge between geometric design and mechanical analysis in the field of gear research, In particular, obtaining the working performance of gears under simulated real working conditions is of great significance to the design, calculation and development of gear science. [0003] In the existing published technical literature "Model and method of gear tooth load-bearing contact analysis (LTCA)" (Mechanical Transmission, 1998, 22(2), p1-3), a method based on the compliance coefficient method and deformation coordination conditions is proposed. A tooth-loaded contact ...

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Problems solved by technology

[0003] In the existing published technical literature "Model and method of gear tooth load-bearing contact analysis (LTCA)" (Mechanical Transmission, 1998, 22(2), p1-3), a method based on the compliance coefficient method and deformation coordination conditions is proposed. A tooth-loaded contact analysis (LTCA) method is used to calculate the tooth contact stress and bending stress, but this method ignores the nonlinear influence of the contact compliance coefficient, and approximates the contact area load as a line contact load to replace the actual When the actual contact area is not a slender area, the calculation accuracy of this method will become worse, so it is not universal and has good calculation accuracy; secondly, this method discretizes the line contact load into some points When there are more discrete points, the calculation variables are more, the calculation is complicated, and the convergence of the algorithm is high.

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