Stabilisation d'un modèle d'interaction fluide-structure
The paper deals with the problem of equilibrium stability of prismatic, homogeneous, intrinsically isotropic, viscoelastic beams subjected to the action of constant compressive axial force in the light of Lyapounov's stability theory. For a class of functional expressions of creeping kernels characteristic of no-aging viscoelastic materials of the hereditary type, solution of the governing integro-differential equations is given. Referring to polymeric materials of the PMMA type, numerical results...
The studies considered here are concerend with a linear thermoelastic Bresse system with delay term in the feedback. The heat conduction is also given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method. Furthermore, based on the energy method, we establish an exponential stability result depending of a condition on the constants of the system that was first considered...
Viene esposto il punto di vista dell'autore rispetto ai modelli matematici dell'elasticità ereditaria. Particolare rilievo viene dato all'influenza della topologia dello spazio delle funzioni ammissibili sui concetti fondamentali della teoria.
Si dimostra che il problema dinamico della viscoelasticità lineare ha un'unica soluzione debole. Non si suppone che valga l'approssimazione quasi-statica, né che sia nota la storia passata dello spostamento. Si richiede, invece, che il modulo di elasticità istantaneo sia più grande di un valore critico che dipende dalla memoria del materiale e dal comportamento nel remoto passato prescritto alle soluzioni.
Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.