Dynamics
Theory and Application of Kane's Method

This book presents Kane's method, a modern approach that leads economically to equations that can be readily solved by computer.

Carlos M. Roithmayr (Author), Dewey H. Hodges (Author), Philip Cross (Contributions by)

9781107005693, Cambridge University Press

Hardback, published 9 March 2016

536 pages, 217 b/w illus. 34 tables 253 exercises
28.6 x 22.1 x 3.1 cm, 1.43 kg

'Dynamics: Theory and Application of Kane's Method is a timely update of the now classical book by Kane and Levinson by two authors, collectively with many decades of experience stretching across academia and government laboratories. While providing coverage of a broader class of problems and of recent advances in the field, the rigor and clarity of the original text is retained. This new book will be welcomed by many working on dynamics and control of complex mechanical and aerospace multibody systems.' Olivier A. Bauchau, Journal of Computational and Nonlinear Dynamics
Full review available at https://doi.org/10.1115/1.4034731

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. Kane's 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 (1985), 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 Kane's method to deal with a broader class of nonholonomic constraint equations, and other recent advances.

1. Differentiation of vectors
2. Kinematics
3. Constraints
4. Mass distribution
5. Generalized forces
6. Constraint forces, constraint torques
7. Energy functions
8. Formulation of equations of motion
9. Extraction of information from equations of motion
10. Kinematics of orientation
Problem sets
Appendix I. Direction cosines as functions of orientation angles
Appendix II. Kinematical differential equations in terms of orientation angles
Appendix III. Inertia properties of uniform bodies
Index.

Subject Areas: Civil engineering, surveying & building [TN], Mechanics of fluids [TGMF], Mechanics of solids [TGMD], Engineering thermodynamics [TGMB], Mechanical engineering [TGB], Thermodynamics & heat [PHH], Nonlinear science [PBWR]