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Gear Curvature Theory.

Yu, Zhiyuan.

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Gear Curvature Theory.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Gear Curvature Theory./
Author:	Yu, Zhiyuan.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	236 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.
Contained By:	Dissertation Abstracts International79-04B(E).
Subject:	Mechanical engineering. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10285919
ISBN:	9780355347005

Gear Curvature Theory.
Yu, Zhiyuan.

Gear Curvature Theory. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 236 p.

Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.

Thesis (Ph.D.)--Tennessee Technological University, 2017.

This research established gear curvature theory for a three rigid body system. It can synthesize new conjugate curves with any required relative curvature.

ISBN: 9780355347005Subjects--Topical Terms:

649730
Mechanical engineering.

Gear Curvature Theory.
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020 $a 9780355347005
035 $a (MiAaPQ)AAI10285919
035 $a (MiAaPQ)tntech:10771
035 $a AAI10285919
040 $a MiAaPQ $c MiAaPQ
100 1 $a Yu, Zhiyuan. $3 1677451
245 1 0 $a Gear Curvature Theory.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 236 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.
500 $a Adviser: Kwun-Lon Ting.
502 $a Thesis (Ph.D.)--Tennessee Technological University, 2017.
520 $a This research established gear curvature theory for a three rigid body system. It can synthesize new conjugate curves with any required relative curvature.
520 $a Two curves are generated by tracing a random selected point's trajectories under three rigid body's pure rolling with coincident instant centers. Such curves are conjugate to each other, which is guaranteed by the Ting's conjugation theorem. The newly generated conjugate curves can be used as tooth profiles for gears in order to transmit a smooth motion with no extra clearance or interference.
520 $a The generating point's location will decide the conjugate curves' relative curvature. The relative curvature is the geometric intrinsic property to decide a pair of gears' Hertzian contact stress. The gear curvature theory offers a systematic methodology to locate all the possible generating points in order to find new conjugate curves with desired Hertzian contact stress by synthesizing their relative curvature.
520 $a Started from using a single point as the generating element to trace conjugate planar curves, the theory has been extended to synthesize conjugate unit spherical curves. Furthermore, the unit spherical curves have been expanded into conjugate conical surfaces by using homogenous coordinate transformation. Straight line envelope gear curvature theory for planar motion is also finished.
520 $a By the gear curvature theory, new conjugate curves or surfaces have been systematically found and used as tooth profiles for different types of gears, such as circular gear, non-circular gear, bevel gear, and spiral bevel gear. What's more, the conjugate tooth profiles with desired relative curvature will reduce tooth contact analysis's iteration process. Applications in gearing and rotor pump are used to prove and verify the gear curvature theory.
590 $a School code: 0390.
650 4 $a Mechanical engineering. $3 649730
690 $a 0548
710 2 $a Tennessee Technological University. $b Mechanical Engineering. $3 1684485
773 0 $t Dissertation Abstracts International $g 79-04B(E).
790 $a 0390
791 $a Ph.D.
792 $a 2017
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10285919