Dynamics Theory and Application of Kane's Method [Hardcover]

This book presents Kane's method, a modern approach that leads economically to equations that can be readily solved by computer.This is a textbook for advanced students in engineering or physics  and a reference for professionals  interested in deriving equations that govern the motions of mechanical systems. It presents Kane's method, which is well suited for dealing with several bodies fastened together to form a multibody system. The method enjoys widespread application in analyzing the dynamics of complex spacecraft and robotic devices.This is a textbook for advanced students in engineering or physics  and a reference for professionals  interested in deriving equations that govern the motions of mechanical systems. It presents Kane's method, which is well suited for dealing with several bodies fastened together to form a multibody system. The method enjoys widespread application in analyzing the dynamics of complex spacecraft and robotic devices.This book is ideal for teaching students in engineering or physics the skills necessary to analyze motions of complex mechanical systems such as spacecraft, robotic manipulators, and articulated scientific instruments. Kanes method, which emerged recently, reduces the labor needed to derive equations of motion and leads to equations that are simpler and more readily solved by computer, in comparison to earlier, classical approaches. Moreover, the method is highly systematic and thus easy to teach. This book is a revision of Dynamics: Theory and Applications by T. R. Kane and D. A. Levinson and presents the method for forming equations of motion by constructing generalized active forces and generalized inertia forces. Important additional topics include approaches for dealing with finite rotation, an updated treatment of constraint forces and constraint torques, an extension of Kanes method to deal with a broader class of nonholonomic constraint equations, and other recent advances.1. Differentiation of vectors; 2. lãº