Objectif The main goal of the project is to perform significant advances in different fields of stability, both in the analysis of phenomena and in algorithms implementations. The following topics will be investigated:(A) Stabilization of mechanical systems by passive or hybrid controllers;(B) Analytical and numerical methods for the stability analysis of conservative and nonconservative systems.Topic (A) will be studied from two different points of view:(A1) Stabilization by forces of different structure (e.g. Coulomb's friction, gyroscopic stabilization, complex hybrid control), and(A2) Energy Pumping (obtained by added nonlinear oscillators allowing energy transfer from the main system).Topic (B) includes:(B1) Perturbation Methods, obtained as adaptation of classical asymptotic methods (Multiple Scale, Lindsted Poincarè, straightforward expansions);(B2) Numerical-Perturbation Methods for stability analysis of nearly-Hamiltonian periodical systems, based on a combination of the perturbation method and Floquet's theory;(B3) Multimodal equilibria for elastic systems, based on bifurcation theories for equilibria and multiple eigenvalues;(B4) Computer algebra for stability of conservative systems, based on Lyapunov's second method.Stabilization of mechanical systems will be studied in various theoretical aspects. First, stabilization of mechanical systems with dry friction and positional discontinuous controls will be investigated; then, the problem of transition of a system from one trajectory to another by impulse controls will be solved. Stabilization of controlled mechanical systems represented by hybrid differential equations under parametric and persistent perturbations will be studied.Stabilization by gyroscopic forces will be proposed. Particular applications to satellites with elastic and damped elements will be developed. Energy pumping devices will be studied through nonlinear few degree-of-freedom models. The nonlinear normal modes will be evaluated by new analytical approaches and their stability analyzed. The design problem to optimize energy transfer under various external excitations will be addressed, and the effects of uncertain parameters investigated.New analytical and numerical-analytical methods will be implemented, mainly based on asymptotic methods. In particular, several algorithms based on the Multiple Scale Method will be developed for non-defective and defective multiple bifurcations. Asymptotic methods will be used to analyze bifurcations of periodic systems. Special attention will be paid to nearly-Hamiltonian periodical systems.Applications to geometrically nonlinear elastic beams and cables will be developed. By focusing the attention on equilibria, multimodal critical points will be studied, by taking into account the imperfections. Use will be also made of computer algebra for solving high-complexity problems. Results will be applied to bodies in fluid, space dynamics and robotics. Mots‑clés Chaotic Systems etc.) Differential Equations & Boundary Problems Dynamical Systems (including Ergodic Theory Fuzzy Mechanics Programme(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Thème(s) Data not available Appel à propositions Data not available Régime de financement Data not available Coordinateur UNIVERSITÀ DI L'AQUILA Contribution de l’UE Aucune donnée Adresse P.LE PONTIERI, MONTELUCO ROIO, 1 L'AQUILA Italie Voir sur la carte Coût total Aucune donnée Participants (3) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire ECOLE NATIONALE DES TRAVAUX PUBLICS DE L'ETAT France Contribution de l’UE Aucune donnée Adresse RUE MAURICE AUDIN, 3 VAULX-EN-VELIN Voir sur la carte Coût total Aucune donnée INSTITUTE OF SYSTEM DYNAMICS AND CONTROL THEORY SB RAS Russie Contribution de l’UE Aucune donnée Adresse LERMONTOV STR., 134 IRKUTSK Voir sur la carte Coût total Aucune donnée MOSCOW STATE UNIVERSITY (MGU) Russie Contribution de l’UE Aucune donnée Adresse MICHURINSKY PROSPEKT, 1 MOSCOW Voir sur la carte Coût total Aucune donnée
