Ebook: Mechanical Instability

This book presents a study of the stability of mechanical systems, i.e. their free response when they are removed from their position of equilibrium after a temporary disturbance. After reviewing the main analytical methods of the dynamical stability of systems, it highlights the fundamental difference in nature between the phenomena of forced resonance vibration of mechanical systems subjected to an imposed excitation and instabilities that characterize their free response. It specifically develops instabilities arising from the rotor-structure coupling, instability of control systems, the se.;Cover; Title Page; Copyright Page; Table of Contents; Foreword; Preface; Chapter 1: Notions of Instability; 1.1. Introduction; 1.1.1. Lyapunov's Direct Method; 1.1.2. Lyapunov's Indirect Method; 1.2. Comparison of Notions of Resonance and Instability; 1.2.1. Notion of Resonance; 1.2.2. Notion of Instability; 1.3. Instability Due to Self-Sustained Excitation; 1.3.1. Multiple-Degree-of-Freedom Systems; 1.3.2. Single-Degree-of-Freedom System; 1.4. Parametric Instability; 1.4.1. General Case; 1.4.2. Mathieu's Equation; 1.4.3. Typical Application.