Intermediate Dynamics: A Linear Algebraic Approach

• Main Author: Howland, R. A. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Ling, Frederick F. (Editor), Hart, William Howard (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2006.
• Series: Mechanical Engineering Series,
• Subjects: Physics.; Mechanics.; Applied mathematics.; Engineering mathematics.; Computational intelligence.; Vibration.; Dynamical systems.; Dynamics.; Mechanical engineering.; Mechanical Engineering.; Vibration, Dynamical Systems, Control.; Computational Intelligence.; Appl.Mathematics/Computational Methods of Engineering.

As the name implies, Intermediate Dynamics: A Linear Algebraic Approach views "intermediate dynamics"--Newtonian 3-D rigid body dynamics and analytical mechanics--from the perspective of the mathematical field. This is particularly useful in the former: the inertia matrix can be determined...

Table of Contents:

• Linear Algebra
• Prologue
• Vector Spaces
• Linear Transformations on Vector Spaces
• Special Case—Square Matrices
• Epilogue
• 3-D Rigid Body Dynamics
• Prologue
• Kinematics
• Kinetics
• Epilogue
• Analytical Dynamics
• Prologue
• Analytical Dynamics: Perspective
• Lagrangian Dynamics: Kinematics
• Lagrangian Dynamics: Kinetics
• Integrals of Motion
• Hamiltonian Dynamics
• Epilogue.