Computational Kinematics ?95

The aim of this book is to provide an account of the state of the art in Com­ putational Kinematics. We understand here under this term that branch of kinematics research involving intensive computations not only of the nu­ merical type, but also of symbolic as well as geometric nature. Research in kinematics over the last decade has been remarkably ori­ ented towards the computational aspects of kinematics problems. In fact, this work has been prompted by the need to answer fundamental questions such as the number of solutions, whether real or complex, that a given problem can admit as well as computational algorithms to support geo­ metric analysis. Problems of the first kind occur frequently in the analysis and synthesis of kinematic chains, when fine displacements are considered. The associated models, that are derived from kinematic relations known as closure equations, lead to systems of nonlinear algebraic equations in the variables or parameters sought. The algebraic equations at hand can take the form of multivariate polynomials or may involve trigonometric functions of unknown angles.

Pradip N. Sheth (1944 2009) was born in Vadodara, India. He earned his BE (1965) and MS (1968) in mechanical engineering at Maharaja Sayajirao University, Baroda, India, and his PhD in 1972 at the University of Wisconsin, Madison, where John Uicker served as his advisor. In his research he developed the Integrated Mechanisms Program for the computer-aided design and analysis of multibody mechanical systems. More than 200 industrial and educational organizations worldwide have utilized the system, which was the first of its kind.