Actual-condition tolerance modeling method based on Jacobian spinors

Abstract

The invention relates to an actual-condition tolerance modeling method based on Jacobian spinors, belonging to the technical field of mechanical tolerance digitization. By calculating the deformation of a working part during loading, changing to the correction quantity of Jacobian spinors and compensating and correcting a Jacobian spinor tolerance model in an ideal condition, the invention establishes an assembly tolerance mathematical model based on Jacobian spinors and actual conditions. The actual-condition tolerance modeling method is technically characterized by comprising the steps of: firstly establishing an assembly tolerance model in the ideal condition; then considering the influences of environmental factors in the actual conditions, and calculating the changes of the size, the shape and the position of a component caused by the influences; mathematically expressing the changes in a spinor matrix mode as compensation, and combining the compensation with the tolerance model in the ideal conditions; and finally obtaining the assembly tolerance model in the actual conditions accordingly. The invention has the advantages that calculation results can be used for judging the assembling properties in the actual conditions and verifying and checking the tolerance design results, thereby predicting and judging the changes of product performances under different assembling design tolerances.

Description

technical field [0001] The invention belongs to the technical field of digitalization of mechanical tolerances, and in particular relates to a method for modeling tolerances of actual working conditions based on Jacobian screw. Background technique [0002] Tolerance modeling refers to the accurate tolerance expression of a solid model or feature model in the computer, and a correct and reasonable interpretation of its semantics. Tolerance modeling needs to solve two problems: the description of the boundary of the tolerance domain and the description of the changing elements that meet the tolerance requirements, that is, to interpret the tolerance information according to the engineering semantics; the current tolerance mathematical modeling methods are: 1) drift model; 2) based on Mathematical model of tolerance function and vector equation; 3) Parameter vectorization mathematical model based on geometric constraint change; 4) Mathematical model based on drift and degree o...

AI Technical Summary

Problems solved by technology

Although these models can express the engineering semantics of the tolerance, when analyzing the tolerance of the digital model of the product, the influence of the actual working environment of the product (such as: the product bears various loads in actual use) is ignored, so that the digital model is different from the actual situation. big difference

Usually, due to the different materials used in product parts and various loads during use, the mechanism simulation using only digital prototypes is quite different from the actual situation.

Images