Theory and Application of Kane's Method
- Carlos M. Roithmayr, NASA-Langley Research Center, Virginia
- Dewey H. Hodges, Georgia Institute of Technology
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.Read more
- A revision of Dynamics: Theory and Applications (1985) by Kane and Levinson
- Thoroughly updated, including three new chapters and two new appendices
- New and revised homework problems have been added throughout
- A new presentation of the classical Newton–Euler method of obtaining equations of motion is included, which demonstrates the advantages offered by Kane's method
Reviews & endorsements
'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
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- Date Published: March 2016
- format: Adobe eBook Reader
- isbn: 9781316055878
- contains: 217 b/w illus. 34 tables 253 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Differentiation of vectors
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
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
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