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2022 | OriginalPaper | Chapter

2. Gearing Theory Development: Geometry-Kinematic Concepts

Authors : Dmitry T. Babichev, Sergey Yu. Lebeded, Michael Storchak

Published in: Advances in Gear Theory and Gear Cutting Tool Design

Publisher: Springer International Publishing

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Abstract

Gears and worm gears are an important part of many machines and mechanisms. The reliability and durability of gears largely determine the quality and competitiveness of machines in general. The scientific basis for the design of gears and gear cutting tools is the gearing theory. The main research object of this theory is complex surfaces formed by enveloping methods, and the main tool is software-implemented algorithms for modeling the shaping processes. The creation of reliable simulation algorithms is hindered by the imperfection of the applied methods and mathematical models of gearing theory. A precondition for improving such methods and models is fundamental theoretical research in the field of gearing theory, enabling the creation of computational models more adequate to the real processes of shaping and contact of moving bodies than the existing ones.

This chapter presents the results of further development of the gearing and surface shaping theories fulfilled by Prof. D.T. Babichev during more than 50 years of his life and professional activities. His co-authors attempted to compile and prepare the results of the research, almost as originally outlined by Professor Babichev.

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previous chapter Fundamental Laws of Gearing

next chapter The Key Mistake in Generation of Conjugate Curves and Surfaces

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Title: Gearing Theory Development: Geometry-Kinematic Concepts
Authors: Dmitry T. Babichev
Sergey Yu. Lebeded
Michael Storchak
Publisher: Springer International Publishing
Book: Advances in Gear Theory and Gear Cutting Tool Design
Print ISBN: 978-3-030-92261-0

Electronic ISBN: 978-3-030-92262-7

Copyright Year: 2022
DOI: https://doi.org/10.1007/978-3-030-92262-7_2

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