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- In gear design, the involute curve is used to define the shape of gear teeth. The curve is generated by a tool called an involute gear cutter, which cuts the gear teeth from a gear blank. The cutter is designed to generate the correct involute shape for a given module or pitch of the gear.
In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve.
An involute, specifically a circle involute, is a geometric curve that can be described by the trace of unwrapping a taut string which is tangent to a circle, known as the base circle. The circle involute has attributes that are critically important to the application of mechanical gears.
Definition. A curve that is obtained by attaching a string which is imaginary and then winding and unwinding it tautly on the curve given is called involute in differential geometry. Involute or evolvent is the locus of the free end of this string.
The curve most commonly used for gear-tooth profiles is the involute of a circle. This involute curve is the path traced by a point on a line as the line rolls without slipping on the circumference of a circle.
An involute curve is a specific type of curve that is defined by the rolling motion of a line that is tangent to a circle. The curve is widely used in the design of gears because it provides a smooth, uniform meshing action between gears, which reduces noise and wear.
Apr 1, 2006 · The involute tooth form is the only tooth form that provides true conjugate action normal to the tangency of the tooth curves passing through the pitch point. The ramifications of this property give the involute gear family the ability to transmit constant angular acceleration without slippage.
Aug 13, 2023 · An involute curve is a curve obtained by winding a wire with a pencil on the outer periphery of a cylinder and gradually releasing the wire in a tense state. The curve drawn by the pencil is the involute curve, and the outer periphery of the cylinder is called the base circle.
