involute


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Related to involute: involute spline

involute

1. Botany (esp of petals, leaves, etc., in bud) having margins that are rolled inwards
2. (of certain shells) closely coiled so that the axis is obscured
3. Geometry the curve described by the free end of a thread as it is wound around another curve, the evolute, such that its normals are tangential to the evolute

involute

[¦in·və¦lüt]
(biology)
Being coiled, curled, or rolled in at the edge.
(mathematics)
A curve produced by any point of a perfectly flexible inextensible thread that is kept taut as it is wound upon or unwound from another curve.
A curve that lies on the tangent surface of a given space curve and is orthogonal to the tangents to the given curve.
A surface for which a given surface is one of the two surfaces of center.

involute

1. A curve traced by a point at the end of a string as the string is unwound from a stationary cylinder.
2. Curved spirally.
References in periodicals archive ?
Yang, "Research on fibrous structure and surface work hardening test of cold rolling involute spline," Machine Tool and Hydraulics, vol.
Computerized design, generation and simulation of modified involute spur gears with localized bearing contact and reduced level of transmission errors, ASME.
Ni, "Analysis of fretting frictional contact parameters of aviation involute spline coupling," Journal of Central South University (Science and Technology), vol.
Li, "CAD system of roller for involute spline and simulation of grinding process," Jixie Gongcheng Xuebao/Chinese Journal of Mechanical Engineering, vol.
In order to improve the accuracy of the threedimensional model, in this paper, a number of equally spaced auxiliary spherical involute lines are inserted in the direction of the tooth line.
Then, there is no involute of the curve [alpha] in Minkowski 3-space [E.sup.3.sub.1].
Branch leaves 1.6-2.0 x 1.2-1.4 mm, broadly ovate, strongly concave, margins involute in the upper half, cucullate-concave and dorsally roughened at the apex; hyaline cells rhomboidal, with large, rounded, unringed pores on the ventral surface, more pores in the upper cells, with few elliptic, ringed pores at the opposite ends on the dorsal surface; green cells in cross section narrowly elliptic, centrally located, slightly and equally exposed on both surfaces.
If the curve [alpha]* is an involute of the curve a, then the distance between the curves [alpha] and [alpha]* is [lambda[(s), where [lambda](s) = |c - s|.
The thickness of the involute profile at any point as shown in Fig.
Two circular arcs, on the addendum circle and on the dedendum circle, limit an involute tooth with asymmetrical profiles and lateral by two asymmetrical involutes arcs and two fillet curves of the involutes arcs with the root circle.
Knowing whether a malformation is likely to rapidly involute will help to guide management.