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Determination Method of Elastic Deformation Contact Angle of Ball Screw Pair with Non-equal Adaptation Ratio Raceways

A ball screw pair and elastic deformation technology, applied in the direction of measuring devices, instruments, etc., can solve the problems of different adaptation ratios of the side raceways of the screw and large differences in the radius of curvature on both sides, etc., and achieve the effect of improving the use performance

Active Publication Date: 2017-08-29
SHANDONG JIANZHU UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

These existing research results have certain guiding significance for the design and application of the ball screw pair, but the theoretical analysis of the document "Rollingbearing analysis" is based on the same adaptation ratio of the raceways on both sides of the ball, and does not involve non-linear bearings. When the adaptation ratio is equal (that is, the adaptation ratio of the raceway on the nut side and the raceway on the screw side are different) or the curvature radius difference between the two sides is large

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  • Determination Method of Elastic Deformation Contact Angle of Ball Screw Pair with Non-equal Adaptation Ratio Raceways
  • Determination Method of Elastic Deformation Contact Angle of Ball Screw Pair with Non-equal Adaptation Ratio Raceways
  • Determination Method of Elastic Deformation Contact Angle of Ball Screw Pair with Non-equal Adaptation Ratio Raceways

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Embodiment Construction

[0046] 1. About the geometrical analysis between the ball and the raceway:

[0047] The most commonly used preloading method for ball screw pairs is gasket preloading, and its structure is as follows: figure 1 shown. That is, an elastic washer is added between nut A and nut B to eliminate the radial and axial clearance of the ball screw pair.

[0048] The research object of the present invention is the washer-type double-nut ball screw pair with non-equal adaptive ratio raceways. Therefore, it is assumed that before the elastic deformation of the balls and the raceways on both sides, the nut side raceway translates along the axial direction, and the screw rolls sideways. The way is fixed. refer to figure 2 and image 3 As shown, let the lowest point O of the center of the ball in the radial direction os As the coordinate origin, the symmetry line of the normal section is the y-axis, and the axis perpendicular to the y-axis is the x-axis. Considering the existence of rad...

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Abstract

The invention provides a determination method of an auxiliary elastic deformation contact angle of a ballscrew of a raceway with different adaptation ratio. The determination method comprises the following steps: (1) measuring the radius rb of a ball, the auxiliary radial gap Sd of a ballscrew, the radius rs of a leading screw raceway, the radius rn of a nut raceway, the designed contact angle Alpha s of the side raceway of the leading screw and the designed contact angle Alpha n of the side raceway of the nut to calculate the initial contact angle Alpha 0; (2) calculating the normal deflection Delta ns and Delta nn between the ball and the raceway by means of the Hertz theory; and (3) establishing a relation between the initial contact angle Alpha 0 and an elastic deformation contact angle Alpha, and calculating the auxiliary elastic deformation contact angle of the ballscrew of the raceway with different adaptation ratio by combination of the relation and the obtained initial contact angle Alpha 0.

Description

technical field [0001] The invention discloses a method for determining the elastic deformation contact angle of a ball screw pair with non-equal adaptive ratio raceways. Background technique [0002] In recent years, due to the high transmission efficiency of the ball screw pair, the ability to eliminate the transmission gap, high precision and smooth movement, it has been widely used in CNC machine tools and machinery manufacturing. The elastic deformation contact angle is an important factor affecting the efficiency and compliance of the ball screw assembly. [0003] At present, all the calculation methods of the elastic deformation contact angle of the ball screw often refer to the calculation method of the literature "Rollingbearing analysis". However, the document "Rolling bearing analysis" is an algorithm for the elastic contact angle of the ball bearing, which cannot be fully applied to the calculation of the elastic deformation contact angle of the ball screw pair....

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01B21/22
Inventor 姜洪奎李彦凤马建春许向荣宋现春宋一顺马凡营杜伟荣柏松
Owner SHANDONG JIANZHU UNIV