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 self-sustained instabilities
associated with the presence of internal damping and instabilities
related to the fluid-structure coupling for fixed and rotating
structures. For an original approach following the analysis of
instability phenomena, the book provides examples of solutions
obtained by passive or active methods.
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