scholarly journals Stability of Two Weakly Coupled Elastic Beams with Partially Local Damping

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Caihong Zhang ◽  
Yinuo Huang ◽  
Licheng Wang ◽  
Chongxiong Duan ◽  
Tiezhu Zhang ◽  
...  
Keyword(s):  
Frequency Domain ◽  
Frequency Domain Method ◽  
Elastic Beams ◽  
Domain Method ◽  
Weakly Coupled ◽  
Exponentially Stable ◽  
The Stability

In this paper, the stability of two weakly coupled elastic beams connected vertically by a spring is investigated via the frequency domain method and the multiplier technique. When the two beams have partially local damping, the operator A is obtained via variable conversion, and it generating a semigroup is proved, then we obtain that the semigroup is exponentially stable by reduction to absurdity.

Regularity and stability of coupled plate equations with indirect structural or Kelvin-Voigt damping

2019 ◽  
Vol 25 ◽  
pp. 51 ◽  
Author(s):  
Zhong-Jie Han ◽  
Zhuangyi Liu
Keyword(s):  
Spectral Analysis ◽  
Exponential Stability ◽  
Numerical Simulations ◽  
Frequency Domain ◽  
Frequency Domain Method ◽  
Structural Damping ◽  
One Dimensional ◽  
Domain Method ◽  
Plate Equations ◽  
Exponentially Stable

In this paper, the regularity and stability of the semigroup associated with a system of coupled plate equations is considered. Indirect structural or Kelvin-Voigt damping is imposed, i.e., only one equation is directly damped by one of these two damping. By the frequency domain method, we show that the associated semigroup of the system with indirect structural damping is analytic and exponentially stable. However, with the much stronger indirect Kelvin-Voigt damping, we prove that, by the asymptotic spectral analysis, the semigroup is even not differentiable. The exponential stability is still maintained. Finally, some numerical simulations of eigenvalues of the corresponding one-dimensional systems are also given.

Simulation of seismoelectric waves using finite-difference frequency-domain method: 2D SHTE mode

2018 ◽  
Author(s):  
Yongxin Gao ◽  
Dongdong Wang ◽  
Cheng Yao ◽  
Wei Guan ◽  
Hengshan Hu ◽  
...  
Keyword(s):  
Finite Difference ◽  
Frequency Domain ◽  
Difference Frequency ◽  
Frequency Domain Method ◽  
Domain Method ◽  
Finite Difference Frequency Domain

Leak detection in pipelines by exclusively frequency domain method

2012 ◽  
Vol 55 (3) ◽  
pp. 743-752 ◽  
Author(s):  
XinLei Guo ◽  
KaiLin Yang ◽  
YongXin Guo
Keyword(s):  
Frequency Domain ◽  
Leak Detection ◽  
Frequency Domain Method ◽  
Domain Method

Dual-Grid Finite-Difference Frequency-Domain Method for Modeling Chiral Medium

2010 ◽  
Vol 58 (3) ◽  
pp. 817-823 ◽  
Author(s):  
E. Alkan ◽  
V. Demir ◽  
A.Z. Elsherbeni ◽  
E. Arvas
Keyword(s):  
Finite Difference ◽  
Frequency Domain ◽  
Chiral Medium ◽  
Difference Frequency ◽  
Frequency Domain Method ◽  
Domain Method ◽  
Finite Difference Frequency Domain

scholarly journals THE MULTIRESOLUTION FREQUENCY DOMAIN METHOD FOR GENERAL GUIDED WAVE STRUCTURES

2007 ◽  
Vol 69 ◽  
pp. 55-66 ◽  
Author(s):  
Mesut Gokten ◽  
Atef Z. Elsherbeni ◽  
Ercument Arvas
Keyword(s):  
Frequency Domain ◽  
Guided Wave ◽  
Frequency Domain Method ◽  
Domain Method
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