TY - JOUR
T1 - Exponential decay rate for the energy of a flexible structure with dynamic delayed boundary conditions and a local interior damping
AU - Chentouf, Boumediène
AU - Mansouri, Sabeur
N1 - Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2020/5
Y1 - 2020/5
N2 - This note is dedicated to study the energy decay of a flexible structure with a local interior damping. The system consists of a platform and a flexible cable holding a load mass. Taking into account the dynamics of both ends of the cable and the presence of a delay term in the boundary, we manage to show that the presence of a localized distributed damping is strong enough to obtain the exponentially decay of the energy of the system. This improves the result obtained in Ammari and Chentouf (2020) where the damping was distributed over the entire spatial domain.
AB - This note is dedicated to study the energy decay of a flexible structure with a local interior damping. The system consists of a platform and a flexible cable holding a load mass. Taking into account the dynamics of both ends of the cable and the presence of a delay term in the boundary, we manage to show that the presence of a localized distributed damping is strong enough to obtain the exponentially decay of the energy of the system. This improves the result obtained in Ammari and Chentouf (2020) where the damping was distributed over the entire spatial domain.
KW - Dynamic delayed boundary conditions
KW - Exponential energy decay
KW - Flexible structure
KW - Local interior damping
UR - http://www.scopus.com/inward/record.url?scp=85076976414&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85076976414&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2019.106185
DO - 10.1016/j.aml.2019.106185
M3 - Article
AN - SCOPUS:85076976414
SN - 0893-9659
VL - 103
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
M1 - 106185
ER -