Matrix methods applied to engineering rigid body mechanics
Abstract
The purpose of this book is to present the solution of a range of rigorous body mechanics problems using a matrix formulation of vector algebra. Essential theory concerning kinematics and dynamics is formulated in terms of matrix algebra. The solution of kinematics and dynamics problems is discussed, taking into account the velocity and acceleration of a point moving in a circular path, the velocity and acceleration determination for a linkage, the angular velocity and angular acceleration of a roller in a taperroller thrust race, Euler's theroem on the motion of rigid bodies, an automotive differential, a rotating epicyclic, the motion of a high speed rotor mounted in gimbals, and the vibration of a spinning projectile. Attention is given to the activity of a force, the work done by a conservative force, the work and potential in a conservative system, the equilibrium of a mechanism, bearing forces due to rotor misalignment, and the frequency of vibrations of a constrained rod.
 Publication:

Oxford
 Pub Date:
 1981
 Bibcode:
 1981opp..book.....C
 Keywords:

 Body Kinematics;
 Kinematic Equations;
 Kinetic Equations;
 Matrix Methods;
 Rigid Structures;
 Acceleration (Physics);
 Angular Acceleration;
 Equations Of Motion;
 Rotor Aerodynamics;
 Spin Dynamics;
 Vector Analysis;
 Engineering (General)