Reflection of a short bending travelling wave from distributed mass attached to a pipeline

2012 ◽  
Vol 9 (2) ◽  
pp. 134-138 ◽  
Author(s):  
A.G. Khakimov
Keyword(s):  
Inverse Problem ◽  
Travelling Wave ◽  
Observation Point ◽  
Reflected Wave

Consideration is given to the reflection of distributed mass attached to a pipeline and the movement of a short bending travelling wave. The solution is shown to depend on the initial coordinate of the distributed mass and its magnitude. The solution to the inverse problem makes it possible to define the initial coordinate of the distributed mass and its magnitude using the data on the reflected wave at the observation point.

Reflection of a longitudinal travelling wave from the notch in a rod

2007 ◽  
Vol 5 ◽  
pp. 212-220 ◽  
Author(s):  
M.A. Ilgamov ◽  
A.G. Khakimov
Keyword(s):  
Inverse Problem ◽  
Longitudinal Wave ◽  
Travelling Wave ◽  
Observation Point ◽  
Reflected Waves ◽  
Reflected Wave ◽  
Using Data

This article investigates the reflection of a longitudinal wave from the transverse notch and its movement along an infinite rod. The dependence is obtained between the reflected wave and parameters of the notch. The statement of the inverse problem allows defining 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.

Reflection of a longitudinal travelling wave from the notch in a rod plunged into viscous liquid

2010 ◽  
Vol 7 ◽  
pp. 129-142
Author(s):  
M.A. Ilgamov ◽  
A.G. Khakimov
Keyword(s):  
Inverse Problem ◽  
Viscous Liquid ◽  
Travelling Wave ◽  
Observation Point ◽  
Reflected Waves ◽  
Damping Characteristics ◽  
Deformed State ◽  
Using Data ◽  
Surrounding 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.

Review of studies on the computational diagnosis of local defects of structural elements

2019 ◽  
Vol 14 (1) ◽  
pp. 1-9
Author(s):  
A.G. Khakimov
Keyword(s):  
Inverse Problem ◽  
Traveling Wave ◽  
Unit Length ◽  
Central Area ◽  
Relative Mass ◽  
Torsional Vibrations ◽  
Observation Site ◽  
Air Cavity ◽  
Reflected Wave ◽  
Local Defects

Rods, beams, shafts, pipelines, round plates. membranes are parts of structures in which local defects such as cracks, dents, cavities, local corrosion can be formed. Provides an overview of the research A. G. Khakimov for the diagnosis of local defects. It is received: 1. The two eigenfrequencies of the longitudinal oscillations can determine the location and the notch parameter characterizing its size. 2. The three lower eigenfrequencies of the longitudinal oscillations can determine the initial coordinate and the value of the attached distributed mass to the stepped rod, as well as the ratio of the areas. 3. The solution of the inverse problem for extended rods allows us to determine the coordinate of the incision and the parameter containing its depth and length, according to the incident and reflected waves at the observation site. 4. The reflection from the air cavity and the passage of a longitudinal damped traveling wave in a pipeline immersed in a viscous liquid are determined, and the solution of the inverse problem allows to determine the coordinate of the air cavity and its length according to the reflected wave at the observation site. 5. The initial coordinate and the length of the longitudinal through radial section of the hollow shaft are determined by the two eigenfrequencies of torsional vibrations. 6. The coordinate, length and parameter of the drill string notch are determined by the three eigenfrequencies of the torsional vibrations. 7. The reflection from the distributed mass attached to the pipeline and the passage of the flexural traveling wave are considered. The dependence of the solution on the initial coordinate of the distributed mass and its magnitude is obtained, and the inverse problem of determining the initial coordinate of the distributed mass and its magnitude from the data of the reflected wave at the observation point is solved. 8. The radius and thickness of the thin central region of the membrane are determined by the two eigenfrequencies of the transverse vibrations. 9. The radius, thickness of the thinned central area of the plate and the value of the attached distributed mass are determined by the three natural frequencies of the bending oscillations. 10. By three frequencies of bending vibrations it is possible to determine the velocity parameter, the relative mass of the product per unit length of the pipeline and the relative mass of sediments on the walls of the pipeline and, as a consequence, the mass flow of liquid through the pipeline.

Reflection of a bending wave from point mass attached to a rod

2011 ◽  
Vol 8 (1) ◽  
pp. 266-274
Author(s):  
A.G. Khakimov
Keyword(s):  
Inverse Problem ◽  
Travelling Wave ◽  
Point Mass ◽  
Bending Wave

This paper investigates the movement of a bending travelling wave along a rod and its reflection from point mass. The solution is shown to depend on the coordinate of the load and its magnitude. The solution to the inverse problem makes it possible to define the coordinate of the point mass and its magnitude using the data on both the reflected and moving waves at the observation points.

Travelling Wave Expansion: A Model Fitting Approach to the Inverse Problem of Elasticity Reconstruction

2011 ◽  
Vol 30 (8) ◽  
pp. 1555-1565 ◽  
Author(s):  
A. Baghani ◽  
S. Salcudean ◽  
M. Honarvar ◽  
R. S. Sahebjavaher ◽  
R. Rohling ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Model Fitting ◽  
Travelling Wave ◽  
Wave Expansion ◽  
Elasticity Reconstruction

AN INVERSE PROBLEM IN THE DYNAMICAL REATOR THEORY

1982 ◽  
Vol 2 (1) ◽  
pp. 9-16 ◽  
Author(s):  
Dexing Feng ◽  
Guangtian Zhu
Keyword(s):  
Inverse Problem
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