TY - JOUR
T1 - Stability of the Timoshenko beam equation with one weakly degenerate local Kelvin-Voigt damping
AU - Liu, Ruijuan
AU - Zhang, Qiong
N1 - Publisher Copyright:
© 2025 Wiley-VCH GmbH.
PY - 2025/3
Y1 - 2025/3
N2 - We consider the Timoshenko beam equation with locally distributed Kelvin-Voigt damping, which affects either the shear stress or the bending moment. The damping coefficient exhibits a singularity, causing its derivative to be discontinuous. By using the frequency domain method and multiplier technique, we prove that the associated semigroup is polynomial stability. Specifically, regardless of whether the local Kelvin-Voigt damping acts on the shear stress or the bending moment, the system decays polynomially with rate (Formula presented.).
AB - We consider the Timoshenko beam equation with locally distributed Kelvin-Voigt damping, which affects either the shear stress or the bending moment. The damping coefficient exhibits a singularity, causing its derivative to be discontinuous. By using the frequency domain method and multiplier technique, we prove that the associated semigroup is polynomial stability. Specifically, regardless of whether the local Kelvin-Voigt damping acts on the shear stress or the bending moment, the system decays polynomially with rate (Formula presented.).
UR - http://www.scopus.com/inward/record.url?scp=105000433190&partnerID=8YFLogxK
U2 - 10.1002/zamm.202300262
DO - 10.1002/zamm.202300262
M3 - Article
AN - SCOPUS:105000433190
SN - 0044-2267
VL - 105
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
IS - 3
M1 - e202300262
ER -