Feature and wrap mathematical model of the tooth construction of spiral bevel gears
WANG Yu-qing
LIANG Jian
Abstract：First, it analyzes the forming of tooth flank of spira l bevel gears and the tooth feature on the basis of the envelope theory. Meanwhie, it has affirmed this method′s merit which can express the working flank of teeth arithmetically. On the other hand, it has pointed out that it can not express the nonworking flank. Theafore,it has reconsidered the mathematical model through the process of gear cutting and put forward wrap theory. It has made use of the algorithm on the basis of the wrap theory acquires the feature of tooth again. Having compared the tooth feature on the basis of the both theories, it finally makes a concludes that wrap theory can express the whole tooth flank clearly and gives a mathematical way to judge the tooth′s integrality, calculates the bending stress and checks the flexural rigidity.
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Publication Date：2001-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 41-45 )