The beauty of mathematics in electromechanical design - the horn spiral makes you smooth through the corner
This IAS B&R will showcase the SuperTrak and ACOPOStrak flexible electric drive conveyor systems. This paper mainly introduces the cornering design of the B&R flexible electric drive conveyor system. There is a secret in the track design of the B&R SuperTrak: the curve of the straight line and the curved corners on both sides adopts the “sprung spiral” or “Eura spiral”.
The snail spiral is a mathematical function curve, which is used as a mitigation curve to moderate the curve change between the straight line and the round curve. Its characteristic is: starting from the origin of the coordinate, the initial curvature is 0, and the curvature of the function curve increases linearly. That is, the horn spiral can perfectly link the straight line with any arc curve, which ensures that the joint point and the curvature of the arc curve are exactly the same.
This is like a sheep horn, so it is called the horn screw (EurerSpiral).
SuperTrak cornering design curves using "Euler spiral", also known as "Euler helix." This allows it to bend from straight segments to corners without slowing down, keeping the entire conveyor process efficient. Figure 2 shows the common design layout of the SuperTrak track.
An important point that distinguishes SuperTrak from conventional linear motors is that the tracks are not limited to straight lines. With the curved connection of the E-Turn, the SuperTrak allows the movement of the slider to form a loop, giving mechanical engineers and process engineers more flexibility. SuperTrak's unique claw thread curve design at the corners minimizes the impact and vibration of the slider during the transition between straight and curved joints.
As can be seen from the above, the electromechanical design also contains the beauty of mathematics. Mathematics is not only a curve, but also means efficiency and reduced wear for the system; it also means efficient and reliable operation of the equipment.
You are welcome to take a look at the SuperTrak and ACOPOStrak.
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