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A New Envelope Computational Method for Meshing Heliacal Gears Profiling Applied to Air Compressor Screw Pair

Hoang Long

Advances in Science and Technology. Research Journal

2024

Vol. 18, no 4

347-354

The theory of enveloping, which determines the envelope to a family of surfaces, the meshing equations of kinematics pairs, including pinion and gear, cutting toll and gear, is widely used in Mechanical Engineering. This paper presents a new envelope computational method for profiling the meshing gear pair. It uses the normal projection of the instantaneous relative rotation axis of the kinematic pair onto the pinion surface to generate the contact line and then automatically computes geometric data of this contact line to create the gear tooth surface. As the profile complexity, the reverse engineering of compressor screw pair was a typical proper example to verify and clarify the proposed method. The method can generate the meshing surface pair with high accuracy: the 3D comparison average error of the surfaces generated by the proposed method and the Boolean method is 0.004 mm, and their RMS error is 0.01 mm. The novel idea of the proposed method is that the contact line, which is used to calculate gear surface, is created easier than solving complex meshing equations, which most previous work used. The proposed method in detail with an algorithm can be used as well for reverse engineering of air compressor screw pair as for parallel axixes heliacal gear pair.

Disc tool profiling for air compressor screws with complex characteristic curves

Nguyen Tuan-Linh, Hoang Long

Journal of Machine Engineering

2021

Vol. 21, No. 3

101--109

One of the best practical methods to machine the air compressor screw pairs is milling or grinding by disc tools. The mathematics involved in disc tool profiling is quite complex and requires representing the machined surface by mathematical equations without any singular points and undercutting. From a technical perspective, this article proposes the disc tool profiling integrated solution for machining complex profile screws from their reverse engineering data, which contains crucial issues such as machining deviation evaluation due to undercutting, appropriate tool position setting. The disc tool surface designed by the proposed method is highly accurate, leading the RMS error of the machined surface is less than 0.0201 mm. A difference of the angle, formed by the disc tool axis and the workpiece axis, less than 0.16°, is acceptable in air compressor technology, which leads to a machined surface RMS deviation of less than 0.0186 mm.