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Dynamics : Theory and Application of Kane's Method

Author: Carlos M Roithmayr; Dewey H Hodges
Publisher: Cambridge : Cambridge University Press, 2016.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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,  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Carlos M Roithmayr; Dewey H Hodges
ISBN: 9781139047524 1139047523
OCLC Number: 938434670
Notes: Title from publisher's bibliographic system (viewed on 09 Feb 2016).
Description: 1 online resource (536 pages)
Contents: Cover; Half Title; Title; Copyright; Contents; Preface; Preface to Dynamics: Theory and Applications; To the Reader; 1 Differentiation of Vectors; 1.1 Simple Rotation; 1.2 Direction Cosine Matrix; 1.3 Successive Rotations; 1.4 Vector Functions; 1.5 Several Reference Frames; 1.6 Scalar Functions; 1.7 First Derivatives; 1.8 Representations of Derivatives; 1.9 Notation for Derivatives; 1.10 Differentiation of Sums and Products; 1.11 Second Derivatives; 1.12 Total and Partial Derivatives; 1.13 Scalar Functions of Vectors; 2 Kinematics; 2.1 Angular Velocity; 2.2 Simple Angular Velocity 2.3 Differentiation in Two Reference Frames2.4 Auxiliary Reference Frames; 2.5 Angular Acceleration; 2.6 Velocity and Acceleration; 2.7 Two Points Fixed on a Rigid Body; 2.8 One Point Moving on a Rigid Body; 3 Constraints; 3.1 Configuration Constraints; 3.2 Generalized Coordinates; 3.3 Number of Generalized Coordinates; 3.4 Motion Variables; 3.5 Motion Constraints; 3.6 Partial Angular Velocities, Partial Velocities; 3.7 Motion Constraints with Nonlinear Equations; 3.8 Partial Angular Accelerations, Partial Accelerations; 3.9 Acceleration and Partial Velocities; 4 Mass Distribution 4.1 Mass Center4.2 Curves, Surfaces, and Solids; 4.3 Inertia Vector, Inertia Scalars; 4.4 Mutually Perpendicular Unit Vectors; 4.5 Inertia Matrix, Inertia Dyadic; 4.6 Parallel Axes Theorems; 4.7 Evaluation of Inertia Scalars; 4.8 Principal Moments of Inertia; 4.9 Maximum and Minimum Moments of Inertia; 5 Generalized Forces; 5.1 Moment about a Point, Bound Vectors, Resultant; 5.2 Couples, Torque; 5.3 Equivalence, Replacement; 5.4 Generalized Active Forces; 5.5 Forces Acting on a Rigid Body; 5.6 Contributing Interaction Forces; 5.7 Terrestrial Gravitational Forces; 5.8 Coulomb Friction Forces 5.9 Generalized Inertia Forces6 Constraint Forces, Constraint Torques; 6.1 Constraint Equations, Acceleration, Force; 6.2 Holonomic Constraint Equations; 6.3 Linear Nonholonomic Constraint Equations; 6.4 Nonlinear Nonholonomic Constraint Equations; 6.5 Constraint Forces Acting on a Rigid Body; 6.6 Noncontributing Forces; 6.7 Bringing Noncontributing Forces into Evidence; 7 Energy Functions; 7.1 Potential Energy; 7.2 Potential Energy Contributions; 7.3 Dissipation Functions; 7.4 Kinetic Energy; 7.5 Homogeneous Kinetic Energy Functions; 7.6 Kinetic Energy and Generalized Inertia Forces 8 Formulation of Equations of Motion8.1 Dynamical Equations; 8.2 Secondary Newtonian Reference Frames; 8.3 Additional Dynamical Equations; 8.4 Linearization of Dynamical Equations; 8.5 Systems at Rest in a Newtonian Reference Frame; 8.6 Steady Motion; 8.7 Motions Resembling States of Rest; 8.8 Generalized Impulse, Generalized Momentum; 8.9 Collisions; 9 Extraction of Information from Equations of Motion; 9.1 Integrals of Equations of Motion; 9.2 The Energy Integral; 9.3 The Checking Function; 9.4 Momentum Integrals; 9.5 Exact Closed-Form Solutions
Responsibility: Carlos M. Roithmayr, Dewey H. Hodges.

Abstract:

This is a textbook for advanced students in engineering or physics, as well as a reference for professionals interested in deriving equations that govern the motions of mechanical systems. It  Read more...

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'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 Read more...

 
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