tailieunhanh - Gear Geometry and Applied Theory Episode 2 Part 1

Tham khảo tài liệu 'gear geometry and applied theory episode 2 part 1', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Meshing of Involute Gear with Rack-Cutter 283 Choosing z Zrnin we have to limit z due to the possibility of tooth pointing see Problem . ii N z 0 and the rack-cutter can be displaced toward the gear center or the setting can be conventional z 0 . Change of Gear Tooth Thickness and Dedendum Height The displacement of the rack-cutter affects the gear tooth thickness and the dedendum dimension. Henceforth we consider the change of tooth thickness space width that is measured along the gear pitch circle. The space width of the gear that is measured along the pitch circle is equal to the tooth thickness of the rack-cutter that is measured along I -1 the rack-cutter centrode. In the case of the conventional setting of the rack-cutter the nominal value of the gear space width is w Sc p n where sc is the tooth thickness of the rack-cutter on the middle-line a -a. When a non-conventional setting of the rack-cutter is provided the tooth thickness of the rack-cutter on its centrode I -1 is Fig. b sC sc 2e tanac p 2e tanac. The gear space width is w sC p 2e tan ac. The radius of the dedendum circle is determined with the equation rd rp b e and the dedendum height is b e . To keep the total height at the gear tooth at the proper value it is necessary to change the radius of the addendum circle while preparing the gear blank for cutting. Problem Consider a conventional setting of the rack-cutter e 0 . The radius rG of the circle where the initial point of the involute curve is located is represented by Eqs. and . Represent radius rG in terms of N ac and P take a 1 P. Solution N2 sin2 a 4N sin2 a 4 2 7iAci n rG ------------ ---------------- 2P sin ac Problem Consider that radius rG is represented by Eq. . Derive an equation in terms of N and ac when the initial point of the involute curve belongs to the base circle. 284 Spur Involute Gears Figure Illustration of a .

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