Abstract

Abstract A new method for the design and analysis of cam profiles is developed and demonstrated in this paper using algebraic functions in two variables. A technique for the construction of the cam profile directly without using the lift curve is developed. The basis for this analysis is the use of Boolean operators in algebra using a form of algebraic function called the defining function. Using simple quadratic curves such as circles, ellipses, and slabs, more complicated cam profiles are constructed using the Boolean operators of union, intersection, and difference. The resulting closed algebraic curve is converted to the standard implicit form for follower analysis. We show that cam profiles using constraints on the lift at a specific angular rotation can be developed. Examples of all the operations are demonstrated.

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