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Everything about Involute
Curve traced by a string as it is unwrapped from another curve
An involute is a particular type of curve that is dependent on another shape or curve. An example of the 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. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: InvoluteA 5-minute orientation
- Skim a recent paper: Research on application of dynamic optimization modification for an involute spur gear in a fixed-shaft gear transmission systemInfluential work since 2022
- Pick up a classic book: Classical and involutive invariants of Krull domainsThe most-reprinted book on the subject
- Read the landmark paper: Load distribution model along the line of contact for involute external gearsCited 185 times
- Go sideways: EvoluteA closely related topic
- Go sideways: Semicubical parabolaA closely related topic
📖 Definitions
Adjective Difficult to understand; complicated.
Adjective Having the edges rolled with the adaxial side outward.
Adjective Having a complex pattern of coils in which younger whorls only partly surround older ones.
Adjective Turned inward at the margin, like the exterior lip of the shells of species in genus Cypraea.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Load distribution model along the line of contact for involute external gears
Geometry and design of involute spur gears with asymmetric teeth
Effect of Involute Contact Ratio on Spur Gear Dynamics
Face-gear drive with spur involute pinion: geometry, generation by a worm, stress analysis
Effect of Involute Tip Relief on Dynamic Response of Spur Gear Pairs
Modified involute helical gears: computerized design, simulation of meshing and stress analysis
Simulation on the Rotational Vibration of Helical Gears in Consideration of the Tooth Separation Phenomenon (A New Stiffness Function of Helical Involute Tooth Pair)
A dynamic model to determine vibrations in involute helical gears
🆕 Influential since 2022
Research on application of dynamic optimization modification for an involute spur gear in a fixed-shaft gear transmission system
Contact stress prediction and fretting wear measurement of aeronautic crowned involute splines
Temperature field modelling in the form grinding of involute gear based on high-order function moving heat source
Dynamic characteristics of rotor system with parallel and angular misaligned involute spline coupling
Mechanism and prediction method of fretting damage in involute spline couplings of aero-engine
📚 Books worth reading
Classical and involutive invariants of Krull domainsM. V. Reyes Sánchez, M.V. Reyes Sánchez · 1999- 📕Isolated involutions in finite groupsRebecca Waldecker · 2013
- 📕Bijzondere involuties van den derden graad en den eersten rang in het platte vlak en haar uitbreiding op de ruimteErnst Traugott Steller · 1941
- 📕Algebras with involutions and the classical groupsAndré Weil · 1961
- 📕Involutions that belong to a linear classEdward Tankard Browne · 1926
- 📕Involute Gear GeometryWilliam A. Tuplin · 1987
- 📕Involute rectangular coordinatesHoglund Engineering and Manufacturing Company, Berkely Heights, N.J. · 1954
Rings with involutionI. N. Herstein · 1976
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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