An Analytical Method Based on the Second Fundamental Forms of Contacting Part Surfaces

Abstract

In this chapter of the book, an analytical method of description of the contact geometry of surfaces, which is based on the second fundamental forms of the contacting part surfaces is discussed. It is shown there that the resultant deviation of one of the contacting surfaces from the other contacting surface expressed in terms of the second fundamental forms of the contacting surfaces could be the best possible criterion for the analytical description of the contact geometry of two smooth regular surfaces. Such a criterion is legitimate, but it is computationally impractical. Thus, other analytical methods are required to be developed for this purpose.