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.

A Study on Curvature Determination Approach of Disk Cams Using relative Accelerations of Followers

Abstract: There are two major factors which affect the cam design : the pressure angle and the radius of curvature, Cam shape will have an instantaneous radius of curvature at every point. Even though the design constraint of the pressure angle has been satisfied the follower may still not complete the desired contact motion. If the radius of the follower roller is larger than the concave(negative) radius on the cam it occurs the gap between the cam and the follower roller at the contact point. And also if the curvature of the pitch curve of the cam is too sharp the cam profile may be undercut. This paper proposes a new approach which uses the relative velocity of the follower roller parallel to the tangent line at the contact point on the cam surface for determining the pressure angle and the relative acceeration for determining the radius of curvature.

101.39 Another angle on angle

Abstract: 3. H. S. M. Coxeter and S. L. Greitzer, Geometry revisited, Math. Ass. Amer. (1967). 4. M. de Villiers, Slaying a geometrical monster: finding the area of a crossed quadrilateral, Learning and Teaching Mathematics 18 (June 2015) pp. 23-28. Also available at http://dynamicmathematicslearning.com/crossed-quad-area.pdf 5. L. Hoehn, Circumradius of a cyclic quadrilateral, Math. Gaz. 84 (March 2000) pp. 69-70.

Analytical and Numerical Tooth Contact Analysis (TCA) of Standard and Modified Involute Profile Spur Gear

Abstract: Among all the common mechanical transmission elements, gears still playing the most dominant role especially in the heavy duty works offering extraordinary performance under extreme conditions and that the cause behind the extensive researches concentrating on the enhancement of its durability to do its job as well as possible Contact stress distribution within the teeth domain is considered as one of the most effective parameters characterizing gear life, performance, efficiency, and application so that it has been well sought for formal gear profiles and paid a lot of attention for moderate tooth shapes The aim of this work is to investigate the effect of pressure angle, speed ratio, and correction factor on the maximum contact and bending stress value and principal stresses distribution for symmetric and asymmetric spur gear The analytical investigation adopted Hertz equations to find the contact stress value, distribution, and the contact zone width while the numerical part depends on Ansys software version 15, as a FE solver with Lagrange and penalty contact algorithm The most fruitful points to be noticed are that the increasing of pressure angle and speed ratio trends to minimize all the induced stresses for the classical gears and the altered teeth shape with larger loaded side pressure angle than the unloaded side one behave better than the symmetric teeth concerning the stress reduction

Paired bevel gears using the principle-positive sum of modifying coefficients

Abstract: The sum of modifying coefficients of the paired bevel gears is taken to be positive and the standard pitch cones are separated from the pitch cones after modifications. The operating pressure angle increases and the gear teeth can be machined with existing machine tools. The mechanism has more strength, longer service life, optimal radial and tangential modifying coefficients so that a new shape of gear teeth can be obtained and can be used for various working conditions with various design criteria.

Gear having relative curvature at contact point

Abstract: PURPOSE:To enhance the strength of a gear, by forming such a tooth shape that a continuous and differentiable function which does not change monotonously, is selected for the curvature of a tooth shape curve, the locus of the curvature center being a continuous serise curve exsisting in the vicinity of the pitch circle. CONSTITUTION:The tooth shapes 1, 3 of gears are formed such that their radii of curvature change from their pitch lines to their addendum and dedendum with the repetition of increase and decrease in the radii of curvature. The relative curvature between the tooth shapes 1, 3 becomes zero at a point where the radius of curvature is minimum, and it has a cyclic characteristic such that there are a plurality of such points per pitch. Therefore, the relative curvature may be made small, and it is possible to make the meshing rate of the teeth more than 1 without the meshing pressure angle being made to be excessibly large, thereby it is possible to enhance the strength of gear teeth.