Topic
Pressure angle
About: Pressure angle is a research topic. Over the lifetime, 1373 publications have been published within this topic receiving 10245 citations. The topic is also known as: angle of obliquity.
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TL;DR: In this article, a new perspective such as harmonic mean, contact patch as translating third body, contact form factor, and service load factor are introduced in spur gear design and three design examples are presented through which it is demonstrated that results from the contact and root bending stress capacity models compare very favorably with American Gear Manufacturers Association (AGMA) results.
Abstract: New perspectives such as harmonic mean, contact patch as translating third body, contact form factor, and service load factor are introduced in spur gear design. The harmonic mean rule characterizes the physical and geometric properties of the contact patch. The contact patch is construed as a body in translation during gear teeth engagement. The contact form factor may be used to compare the load capability of different pressure angle standards. The service load factor captures the influence of different conventional rated load modification factors. Gear design analysis is separated into design sizing and design verification tasks. Design sizing and design verification formulas are formulated and presented in simplified forms for the Hertz contact and the Lewis root bending stresses. Three design Examples are presented through which it is demonstrated that results from the contact and root bending stress capacity models compare very favorably with American Gear Manufacturers Association (AGMA) results. The worst differences in the results are 5.23% for contact stress in design Example 2 and -6.59% for root bending stress for design Example 1. In design Example 3, it is shown that using pinion teeth number higher than 17 or 18 can leads to overall size reduction of gearset. This is important because of possible manufacturing cost reduction and higher mesh efficiency. Comparison of proposed approximations for mesh overload, internal overload and service load factors for design sizing and design verification tasks yielded very close results. The highest variance in the three design examples between proposed approximated and AGMA values of these parameters is -5.32%, indicating a slightly higher or conservative value for design sizing. Due to the very favorable results in comparison with AGMA values, the design approach appears to be an acceptable one in the preliminary design of spur gears because of simplicity and transparency.
6 citations
Patent•
08 Aug 2000
TL;DR: In this article, the relation between the basic data and the main curvature radius of a gear and a pitch radius and torsion angle of a rack type rotary tool with specified expressions is investigated.
Abstract: PROBLEM TO BE SOLVED: To surely provide a helical concave conical gear provided with the predetermined main curvature radius with one working by expressing the relation between the basic data and the main curvature radius of a gear and a pitch radius and torsion angle of a rack type rotary tool with specified expressions. SOLUTION: A pitch radius rc and a torsion angle ϕ of a tooth trace of a generating rack type rotary tool are decided so as to satisfy expressions I, II, III, IV, V expressing the relation between a reference pitch radius rb, a pressure angle α0, a cone angle δ, each minimum curvature radius R and each maximum curvature radius R' at pitch points of a right and a left tooth surface of a gear and a pitch radius rc and a torsion angle ϕ of a tooth trace in the rack center surface of the generating rack type rotary tool. A helical concave conical gear, in which desirable teeth can contact with each other in the condition similar with the linear contact so as to have a large contact area and which can transmits a large motive power and which can restrict the gear noise, can be surely obtained.
6 citations
01 Jan 2003
TL;DR: In this paper, an algorithm is presented which allows the use of a different cutter, either in diameter and/or pressure angle, to obtain the same tooth flank surface topography.
Abstract: In the manufacturing of spiral-bevel and hypoid gears, circular cutter dimensions are usually based on the desired performance of a gear set. In large manufacturing operations, where several hundred gear geometries may have been cut over the years, the necessary cutter inventory may become quite large since the cutter diameters will differ from one geometry to another, which results in used storage space and associated costs in purchasing and maintaining the cutter parts. Interchangeability of cutters is therefore of significant interest to reduce cost while maintaining approved tooth geometries. An algorithm is presented which allows the use of a different cutter, either in diameter and/or pressure angle, to obtain the same tooth flank surface topography. A test case is presented to illustrate the usefulness of the method: the OB cutter diameter of an hypoid pinion is changed from 8.9500" to 9.1000". CMM results and the comparison of the bearing patterns before and after change show excellent correlation, and indicate that the new pinion can be used in place of the original pinion without performance or quality problems. Significant cost reductions may be obtained with the application of the method.Copyright © 2003 by ASME
6 citations
Patent•
30 Mar 1981
TL;DR: In this paper, the authors proposed a rack and pinion mechanism for a power steering mechanism in an automobile, where the radius of a helical rack, a distance from the axis to the tooth end, a helix angle of the tooth and pressure angle to satisfy a specific expression are selected.
Abstract: PURPOSE:To restrict a displacement caused by a slight rotation of a rack and its vibration by selecting the radius of a helical rack, a distance from the axis to the tooth end, a helix angle of the tooth and pressure angle to satisfy a specific expression. CONSTITUTION:This rack and pinion mechanism is applicable for a power steering mechanism in an automobile. When a helical gear 2 with a helix angle beta and a pressure angle alphan feeds in mesh a pinion (not illustrated) in the direction A and a rack in the direction B, a normal plane pressure Pn at a contact point S1 where the helical gear comes in mesh with a spiral gear not illustrated in the drawing acts in the direction S1C1. Therefore, the moment C in the counterclockwise direction is generated. When the mesh comes to a contact point S3, the moment D in the clockwise direction is formed. By determining the configuration of the rack 1 so as to satisfy the expression (LK represents the radius of the rack 1 and RK represents the distance from the axis 0 to the tooth end.), the clockwise and counterclockwise moments may become equal so that the required purpose can be attained.
6 citations
01 Jul 2006
TL;DR: In this paper, the principal curvatures and directions of two gear teeth in direct contact are determined based on the nominal position of contact, which is invariant with tooth type and manufacturing process.
Abstract: A method is presented for the determination of the principal curvatures along with their principal directions of two gear teeth in direct contact. The procedure used to determine these extreme curvatures and directions is based on the nominal position of contact. Moreover, these extreme curvatures and directions are invariant with tooth type (viz. involute and cycloidal) and manufacturing process. Such curvatures and directions depend on the instantaneous pressure angle, spiral or helix angle, and position of contact. This generalized method is applicable to cylindrical gears (spur and helical), conical gears (straight and spiral), as well as hyperboloidal gears (hypoid and worm). Three examples are included to illustrate the determination of principal curvatures and directions. The first example is a helical gear pair, the second is a spiral bevel gear pair, and the third example is a hypoid gear pair.
6 citations