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A spline consists of a long strip of wood (a lath) fixed in position at a
number of points. In older days shipwrights often used splines to mark the curve
of a hull. The lath will take the shape which minimizes the energy required for
bending it between the fixed points, and thus adopt the smoothest possible
The origins of the spline in wood-working may show in the conjectured etymology which connects the word spline to the word splinter. Later craftsmen have made splines out of rubber, steel, and other elastomeric materials.
Spline devices help bend the wood for pianos, violins, violas, etc. The Wright brothers used one to shape the wings of their aircraft.
In 1946 mathematicians started studying the spline shape, and derived the piecewise polynomial formula known as the spline curve or function. This has led to the widespread use of such functions in computer-aided design, especially in the surface designs of vehicles.
The word spline can also denote one of a series of serrations or other shapes on a driveshaft which prevent rotation of a mating piece. For instance, a gear mounted on a shaft might use a male spline on the shaft that matches the female spline on the gear. Manufacturers typically cut such splines with a broach.
|Splines on the end of a driveshaft.|