ADVANCED DYNAMICS

By J. JODAO

CONTENTS PARTICLE MOTION SYSTEMS OF PARTICLES CONSTRAINTS AND CON?GURATION SPACE WORK, ENERGY AND MOMENTUM IMPULSE RESPONSE BIBLIOGRAPHY PROBLEMS D’ALEMBERT’S PRINCIPLE AND LAGRANGE’S EQUATIONS HAMILTON’S EQUATIONS INTEGRALS OF THE MOTION DISSIPATIVE AND GYROSCOPIC FORCES CON?GURATION SPACE AND PHASE SPACE IMPULSE RESPONSE, ANALYTICAL METHODS KINEMATICAL PRELIMINARIES DYADIC NOTATION BASIC RIGID BODY DYNAMICS IMPULSIVE MOTION QUASI-COORDINATES AND QUASI-VELOCITIES MAGGI’S EQUATION THE BOLTZMANN–HAMEL EQUATION THE GENERAL DYNAMICAL EQUATION A FUNDAMENTAL EQUATION THE GIBBS–APPELL EQUATION CONSTRAINTS AND ENERGY RATES SUMMARY OF DIFFERENTIAL METHODS HAMILTON’S PRINCIPLE TRANSPOSITIONAL RELATIONS THE BOLTZMANN–HAMEL EQUATION, TRANSPOSITIONAL FORM THE CENTRAL EQUATION SUSLOV’S PRINCIPLE SUMMARY OF INTEGRAL METHODS INTERPOLATION NUMERICAL INTEGRATION NUMERICAL STABILITY FREQUENCY RESPONSE METHODS KINEMATIC CONSTRAINTS ENERGY AND MOMENTUM METHODS