A Calculation Method of Assembly Pose and Posture Based on Minimum Potential Energy

Abstract

The invention discloses an assembly position and posture calculation method based on minimum potential energy. The only set of contact points, meeting the actual condition, between assembly parts can be obtained, the contact problem between planes is solved, and the contact problems between cylindrical surfaces or spherical surfaces or other curved surfaces and planes and between the curved surfaces are solved. According to the actual assembling condition, a potential energy mapping matrix is built, and points, in a survey coordinate system, of a to-be-assembled surface are mapped into a assembly coordinate system to be represented in the form of potential energy; under the constraint condition, space micro motion is used as a variable, an optimization model of minimum total potential energy is built, an optimal solution is obtained by means of the bare bones particle swarm optimization, the coordinate values, in the survey coordinate system, of contact points of two parts are inversely calculated by means of the optimal solution, and the only set of contact points, meeting the actual condition, between the assembly parts are obtained.

Description

technical field [0001] The invention belongs to the field of precision prediction and control, and in particular relates to an assembly posture calculation method based on minimum potential energy. Background technique [0002] For precision mechanical systems, at present, it mainly depends on improving the machining accuracy of parts and assembly experience to improve assembly performance, accuracy and stability. With the development of industrial technology, the modern manufacturing industry puts forward higher requirements for the assembly accuracy of parts and components. It is required to predict the accuracy and performance of the final product from the early stage of system manufacturing, which is conducive to improving the assembly qualification rate, consistency and accuracy. stability. Studies have shown that for the assembly of precision / ultra-precision parts, if geometric errors are not considered, the prediction of final assembly accuracy will be biased. In ac...

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Problems solved by technology

[0004] In view of this, the present invention provides an assembly pose calculation method based on the minimum potential energy, which can obtain a unique set of matching points between assembly parts that meet the actual working conditions, not only solves the problem of contact between planes, but also solves the problem of Contact problems between curved surfaces such as cylinders and spheres and planes, and between curved surfaces

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