Five-degree-of-freedom static stiffness calculation method for crossed roller linear guide rail

Abstract

The invention provides a five-degree-of-freedom static stiffness calculation method for a crossed roller linear guide rail, which comprises the following steps of: 1, establishing a roller raceway contact model by adopting a fragmentation method based on a Brazilian internal solution of a Hertz line contact theory and an elastic theory; according to the established roller raceway contact model, obtaining the relationship among the roller-raceway contact force, the contact torque and the displacement of a slide rail relative to a guide rail; 2, according to the arrangement mode of rollers in roller paths of the crossed roller linear guide rail, calculating the initial pre-pressing amount between the roller paths at each roller; and 3, calculating the vertical rigidity, the transverse rigidity, the rotation angle rigidity, the yaw angle rigidity and the pitch angle rigidity of the crossed roller linear guide rail according to the results obtained in the step 1 and the step 2. By adoptingthe method for calculating the five-degree-of-freedom static stiffness of the crossed roller linear guide rail, the five-degree-of-freedom static stiffness of the crossed roller linear guide rail pair with the roller inclining or shaping relative to the roller path can be accurately calculated, and technical support is provided for design of the guide rail.

Description

technical field [0001] The invention relates to a five-degree-of-freedom static stiffness calculation method of a cross roller linear guide rail. Background technique [0002] The cross roller linear guide is a typical functional part commonly used in machine tools. The static stiffness of its joint is an important performance index, which can not only reflect the bearing capacity of the guide rail, but also directly affect the dynamic performance of the machine tool. Therefore, it is necessary to determine the static stiffness of the guide rail in both the structural design of the guide rail and the analysis of the dynamic characteristics of the machine tool. The lack of five-degree-of-freedom static stiffness of the cross roller linear guide will lead to the inability to obtain effective technical support and theoretical guidance for the design, selection and use of the cross roller linear guide. Huge hindrance. [0003] At present, the theoretical calculation methods fo...

AI Technical Summary

Problems solved by technology

The lack of five-degree-of-freedom static stiffness of the cross roller linear guide will lead to the inability to obtain effective technical support and theoretical guidance for the design, selection and use of the cross roller linear guide. huge obstacle

[0003] At present, the theoretical calculation methods for the static stiffness of the cross-roller linear guide at home and abroad mainly include: (1) Modeling and calculation based on the Palmgren empirical formula. This approximate calculation method is only accurate for rollers within a certain diameter range, and does not Applicable to the calculation of guideway pairs with rollers inclined relative to the raceway or modified rollers

(2) Finite element method, which is cumbersome to model, time-consuming to solve, and depends on large-scale commercial software

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