A Pixel Solving Method for Conjugate Surfaces in Mesh Motion

Abstract

A pixel obtaining method for a meshing movement conjugate surface includes the steps of firstly, making a screw rotor spiral surface do spiral conjugate movement around the axis of a formed grinding wheel to obtain a formed grinding wheel contour image; secondly, conducting binary digital image processing, establishing an image binary matrix with matrix arrays corresponding to coordinates of image pixel points, determining a contour image original point, and establishing an image coordinate system; thirdly, determining the positions of the initial point and the ending point of contour image edge pixel points; fourthly, calculating the slope, and finding the next adjacent pixel point along the contour image edge; fifthly, obtaining the included angle between two adjacent pixel point and original point, rotating the contour image around the original point, and capturing the coordinate values of the contour image edge pixel points; sixthly, repeating the fourth step and the fifth step to obtain the coordinate values and the corresponding rotating included angles of the formed grinding wheel contour image edge pixel points; seventhly, conducting coordinate transformation on the coordinate values and the corresponding rotating included angles of all the contour image edge pixel points, and conducting smoothing treatment to obtain formed grinding wheel contour data.

Description

technical field [0001] The invention relates to a pixel solving method for curved surfaces, in particular to a pixel solving method for meshing conjugate curved surfaces that can be used in the design and manufacture of helical gears, screw rotors, worm gears and other conjugate products. Background technique [0002] The transmission parts and executive parts of most mechanical products are composed of parts with conjugate surfaces, which are widely used in strategic emerging industries, high-tech industries, traditional manufacturing industries, and defense and military industries. Therefore, the design, manufacture and calculation methods of parts containing conjugate surfaces are important topics in the research of machinery manufacturing. [0003] Many scholars have done in-depth research on the design and calculation of conjugate surfaces. The profile normal method is used to calculate the conjugate surface of the meshing motion, and the calculation process of the con...

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Problems solved by technology

[0004] Most of the above-mentioned conjugate surface calculation methods are based on the tooth profile normal method and numerical analysis method. In the contact line calculation of conjugate surfaces, there are generally complex modeling, complex nonlinear equations, abnormal solutions and calculation accuracy. big error

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