Project Detail

Description

This project is to write code to compute incomplete polynomials in vb.net

Incomplete Polynomials are used for design of motions such as camshafts.

The idea has been around for more than 60 years. (see Dudley).
An image of the equation that is attached is typical of the type used by these methods.

Usually n = 2 or 3. 2a0 is the value for acceleration and 24a1 is the value for snap at φ = 0, so inclusion of these parameters helps to provide a nose of proper shape. Some of the other parameters are specified by endpoint conditions, while the others are chosen by the designer. The exponents, c + id, are generally quite large, usually > 10. Typical values might be 10, 12 and 14 or 12, 16, 18. We call this an incomplete polynomial, because unlike a normal polynomial approximation, it skips intermediate values of the exponents. This method has a number of deficiencies. It is difficult to use until the designer develops some experience, because he is forced to choose design parameters, polynomial exponents, that have no clear connection to the physical system. Consequently, imposing limits on velocity, acceleration and jerk is difficult. The method does not provide enough flexibility in the choice of shape. Despite these limitations, this method is still widely used, because it is simple to apply.

I don't know the details about how to do this and don't have any further information about how it would be done so you will have to be familiar with this type of math and how to code it.


Additional files submitted:
EQ_poly.gif