The basic curves of the rise-fall displacement diagram are primarily of two families: the simple polynomial and the trigonometric .The trigonometric curves are superior to the polynomial curves and give smoother action , easier layout , lower manufacturing cost, and less vibration , wear , stresses , noise and torque , in addition to smaller cams .
The displacement equations of simple polynomial curves are of the form
Y=Cθn
Where n=any number.
C= a constant.
In this polynomial family, we have the following popular curves with integer powers:
Straight line, n=1;
Parabolic or constant acceleration, n=2;
Cubic or constant pulse, n=3.
Trigonometric curves:
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