In kinematics a wide variety of mathematical tools is applicable. In this book, wherever possible vector equations are formulated instead of lengthy scalar coordinate equations. The principle of transference is applied to problems of very diverse nature.
15 chapters of the book are devoted to spatial kinematics and three chapters to planar kinematics. In Chapt. 19 nonlinear dynamics equations of motion are formulated for general spatial mechanisms. Nearly one half of the book is dealing with position theory and the other half with motion.
The book is intended for use as reference book for researchers and as textbook in advanced courses on kinematics of mechanisms.
Professor Jens Wittenburg was Professor for Mechanics at University of Karlsruhe. He was a visiting professor at the University Paris VI, at the Kliment-Ochridsky University Sofia and at the Jiaotong-University Xi’an. He is still active in research and has been invited to give lectures all over the world.
A characteristic feature of the formalism presented is the application of graph-theoretical concepts. The interconnection structure of a multibody system is mapped onto a graph whose vertices and arcs represent bodies and interconnections of bodies, respectively. Codes based on the formalism have found important applications in the automotive industry and in other branches of engineering.
Special systems investigated in the book are systems with tree-structure, systems with revolute joints only, systems with spherical joints only, systems with nonholonomic constraints and systems in planar motion. By applying the said concepts of graph theory to linear oscillators new formulations are found for mass-, damping and stiffness matrices. A separate chapter is devoted to the problem of collision of a multibody system either with another multibody system or with itself.
Introductory chapters deal with basic elements of rigid body kinematics and dynamics. A short chapter is devoted to classical, analytically soluable problems of rigid body dynamics.
This book is addressed to graduate students and to R & D engineers.