TY - JOUR
T1 - Exponential stability of a joint-leg-beam system with memory damping
AU - Zhang, Qiong
N1 - Publisher Copyright:
© American Institute of Mathematical Science. All rights reserved.
PY - 2015
Y1 - 2015
N2 - In this paper, we consider a system for combined axial and ransverse motions of two viscoelastic Euler-Bernoulli beams connected through two legs to a joint. This model comes from rigidizable and inatable space structures. First, the exponential stability of the joint-leg-beam system is obtained when both beams are subject to viscoelastic damping and memory kernels satisfy reasonable assumptions. Then, we show the lack of uniform decay of the coupled system when only one beam is assumed to have a memory damping and the second beam has no damping.
AB - In this paper, we consider a system for combined axial and ransverse motions of two viscoelastic Euler-Bernoulli beams connected through two legs to a joint. This model comes from rigidizable and inatable space structures. First, the exponential stability of the joint-leg-beam system is obtained when both beams are subject to viscoelastic damping and memory kernels satisfy reasonable assumptions. Then, we show the lack of uniform decay of the coupled system when only one beam is assumed to have a memory damping and the second beam has no damping.
KW - C0-semigroup
KW - Exponential stability
KW - Joint-leg-beam system
KW - Memory damping
UR - http://www.scopus.com/inward/record.url?scp=84927699428&partnerID=8YFLogxK
U2 - 10.3934/mcrf.2015.5.321
DO - 10.3934/mcrf.2015.5.321
M3 - Article
AN - SCOPUS:84927699428
SN - 2156-8472
VL - 5
SP - 321
EP - 333
JO - Mathematical Control and Related Fields
JF - Mathematical Control and Related Fields
IS - 2
ER -