Inverse problem of the Love wave propagation in elastic waveguides loaded with a viscous liquid

The article investigates the reflection of a longitudinal damped travelling wave from the transverse notch and its movement along an infinite rod plunged into viscous liquid. The simplest model for the stress deformed state in the notch zone is applied. The solution is found to depend on the parameters of the liquid and damping characteristics in the material of the rod and the surrounding liquid. The solution to the inverse problem makes it possible to define the coordinate of the notch and the parameter that contains its depth and length using data on both the incident and reflected waves at the observation point.

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Correction to “The Inverse Problem in the Theory of Seismic Wave Propagation”

Spectral Theory ◽

10.1007/978-1-4684-7589-0_7 ◽

1969 ◽

pp. 93-93

Author(s):

A. S. Blagoveshchenskii

Keyword(s):

Inverse Problem ◽

Wave Propagation ◽

Seismic Wave ◽

Seismic Wave Propagation

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Effect of an inhomogeneous initial stress on Love wave propagation in 0.67Pb(Mg1/3Nb2/3)O3–0.33PbTiO3 single crystal layered structure poled along [011]c

Meccanica ◽

10.1007/s11012-014-0059-y ◽

2014 ◽

Vol 50 (1) ◽

pp. 119-132 ◽

Cited By ~ 2

Author(s):

Guoquan Nie ◽

Xianglin Liu ◽

Jinxi Liu ◽

Xueqian Fang

Keyword(s):

Wave Propagation ◽

Single Crystal ◽

Initial Stress ◽

Layered Structure ◽

Love Wave

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Reconstruction of Initial Wave Field of a Nonsteady-State Wave Propagation from Limited Measurements at a Specific Spatial Point Based on Stochastic Inversion

Mathematical Problems in Engineering ◽

10.1155/2013/286247 ◽

2013 ◽

Vol 2013 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

S. L. Han ◽

Takeshi Kinoshita

Keyword(s):

Inverse Problem ◽

Wave Propagation ◽

Wave Field ◽

Simulated Data ◽

Initial Surface ◽

Reconstruction Procedure ◽

Inference Problem ◽

State Wave ◽

Initial Wave ◽

Nonsteady State

This paper studies an inverse problem that can be used for reconstructing initial wave field of a nonsteady-state wave propagation. The inverse problem is ill posed in the sense that small changes in the input data can greatly affect the solution of the problem. To address the difficulty, the problem is formulated in the form of an inference problem in an appropriately constructed stochastic model. It is shown that the stochastic inverse model enables the initial surface disturbance to be reconstructed, including its confidence intervals given the noisy measurements. The reconstruction procedure is illustrated through applications to some simulated data for two- and three-dimensional problem.

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