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 through simple translation (via the Parallel Axis Theorem) and rotation of axes using rotation matrices. The inertia matrix can then be determined for simple bodies from tabulated moments of inertia in the principal axes; even for bodies whose moments of inertia can be found only numerically, this procedure allows the inertia tensor to be expressed in arbitrary axes–something particularly important in the analysis of machines, where different bodies’ principal axes are virtually never parallel. To understand these principal axes (in which the real, symmetric inertia tensor assumes a diagonalized “normal form”), virtually all of Linear Algebra comes into play. Thus the mathematical field is first reviewed in a rigorous, but easy-to-visualize manner. 3-D rigid body dynamics then become a mere application of the mathematics. Finally analytical mechanics–both Lagrangian and Hamiltonian formulations–is developed, where linear algebra becomes central in linear independence of the coordinate differentials, as well as in determination of the conjugate momenta.
Intermediate Dynamics A Linear Algebraic Approach Free Download
April 18, 2022
You may also like
ALGEBRA MATHEMATICS
Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
April 11, 2024
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived...
ALGEBRA MATHEMATICS
Algebra for College Students 5th Edition by Margaret L. Lial PDF
February 3, 2024
Algebra for College Students is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying...
ALGEBRA MATHEMATICS
Integral Points on Algebraic Varieties An Introduction to Diophantine Geometry by Pietro Corvaja PDF
October 18, 2023
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on...
Recent Posts
- Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
- Heat Transfer Physics 2nd Edition By Massoud Kaviany PDF
- Lavin’s Radiography for Veterinary Technicians, 6th Edition by Marg Brown PDF
- Principles of Physics, 10th Edition by David Halliday PDF
- The Dog Behavior Problem Solver by Teoti Anderson PDF
Add Comment