Modeling the Variable Pitch Screws by Using the Envelope Theory Based on Cubic H-Bézier

This paper presents a novel approach to derive analytical expressions for variable pitch screw threads by employing three-segment composite H-Bézier curves as transitional curves at the beginning and end of the screw thread. Additionally, it introduces a methodology to represent the material surface...

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Bibliographic Details
Published in2023 6th International Conference on Mechatronics, Robotics and Automation (ICMRA) pp. 160 - 165
Main Authors Wu, Yanwei, Zhang, Gengbin, Ling, Yu, Song, Changqing, Zhang, Tie
Format Conference Proceeding
LanguageEnglish
Published IEEE 17.11.2023
Subjects
Cubic H-Bézier Curves
Design methodology
Envelope
Fasteners
Geometric modeling
Harmonic analysis
Machining
Numerical models
Optimization
Polynomials
Shape
Trajectory
Variable Pitch Screws
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Summary:This paper presents a novel approach to derive analytical expressions for variable pitch screw threads by employing three-segment composite H-Bézier curves as transitional curves at the beginning and end of the screw thread. Additionally, it introduces a methodology to represent the material surface as enveloping single-parameter surface families, enabling the calculation of the helical surface of variable pitch screw threads. The geometric model developed through this method finds applications in post-processing tasks such as material property analysis, numerical control machining, finite element analysis, and more. Finally, the proposed design and calculation methods for variable pitch screw threads are modeled and simulated within the MATLAB environment, demonstrating their practical value and feasibility.
ISSN:2996-380X
DOI:10.1109/ICMRA59796.2023.10708449