Uniform exponential stability of 1-d wave equation: The frequency domain method

2020 ◽  
Author(s):  
Fu Zheng ◽  
Yaning Lan
Keyword(s):  
Wave Equation ◽  
Exponential Stability ◽  
Frequency Domain ◽  
Frequency Domain Method ◽  
Uniform Exponential Stability ◽  
Domain Method ◽  
D Wave

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.

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

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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