Planetary roller screw pair contact point solving method

Abstract

The invention discloses a planetary roller screw pair contact point solving method. The method comprises the following steps: constructing a unit normal vector equation of a screw and a unit normal vector equation of a stud; determining a parameter relationship between the independent variable of the normal section of the lead screw and the independent variable of the normal section of the stud; determining an overlapping area and an interference area of the lead screw and the stud, and reducing a search range; calculating a normal distance from each point of the curve to each point of the curved surface, and determining a minimum value corresponding to each point of the connecting curve; searching a maximum normal distance according to the determined minimum value corresponding to each point of the connection curve, and determining a unit normal vector corresponding to the maximum normal distance; and according to the maximum normal distance and the unit normal vector corresponding tothe maximum normal distance, calculating to obtain the actual contact center distance. According to the invention, human intervention is reduced, interference and gap results can be automatically given, the position of a contact point is analyzed, and the pitch diameter change distance of the lead screw or the adjustment distance of the center distance of the lead screw and the stud needing to beincreased or decreased is given.

Description

technical field [0001] The invention belongs to the technical field of mechanical transmission mechanisms, and in particular relates to a method for solving a contact point of a planetary roller screw pair. Background technique [0002] In the planetary roller screw pair, it is a very important problem to solve the contact point position between the screw and the stud, which directly affects the motion relationship and contact force between the screw and the stud, and affects the transmission accuracy of the planetary roller screw pair. , stiffness, efficiency and other related indicators and performance also have certain influences, which must be considered when designing a planetary roller screw pair. [0003] In order to study the position of the contact point, it is necessary to establish a mathematical model of the helical surface of the screw and the stud. According to the two conditions of the contact point position vectors being equal and the normal vectors collinear...

AI Technical Summary

Problems solved by technology

This method is also difficult to determine the position of the contact point on the normal section

[0004] To sum up, the existing methods basically use the axial spacing between the screw and the roller as the gap and interference between the curved surfaces, but it cannot determine whether the normal vector of the point with the smallest axial spacing is collinear, so it is difficult to determine the desired contact. Whether the point satisfies the contact condition

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