Rao-Nakra model with internal damping and time delay
Mathematica Moravica, Tome 25 (2021) no. 2.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this manuscript, by using the semigroup theory, the wellposedness and exponential stability for a Rao-Nakra sandwich beam equation with internal damping and time delay is proved. The system
consists of two wave equations for the longitudinal displacements of the top and bottom layers, and one Euler-Bernoulli beam equation for the transversal displacement. To the best of our knowledge from the literature, by this time, no attention was given to the asymptotic stability for Rao-Nakra model with time delay.
Mots-clés :
Rao-Nakra system, time delay, exponential stability
@article{MM3_2021_25_2_a5, author = {Carlos A. Raposo}, title = {Rao-Nakra model with internal damping and time delay}, journal = {Mathematica Moravica}, pages = {53 - 67}, publisher = {mathdoc}, volume = {25}, number = {2}, year = {2021}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a5/} }
Carlos A. Raposo. Rao-Nakra model with internal damping and time delay. Mathematica Moravica, Tome 25 (2021) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a5/