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.

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.

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.

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

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.

scholarly journals The kinetics of nucleotide binding to isolated Chlamydomonas axonemes using UV-TIRF microscopy

2019 ◽  
Author(s):  
M. Feofilova ◽  
M. Mahamdeh ◽  
J. Howard
Keyword(s):  
Time Constant ◽  
Motor Proteins ◽  
Fluid Transport ◽  
Nucleotide Binding ◽  
Travelling Wave ◽  
Axonemal Dynein ◽  
Cilia And Flagella ◽  
Kinetics Of ◽  
Hydrolysis Of ◽  
Bending Wave

AbstractCilia and flagella are long, slender organelles found in many eukaryotic cells where they have sensory, developmental and motile functions. All cilia and flagella contain a microtubule-based structure called the axoneme. In motile cilia and flagella, which drive cell locomotion and fluid transport, the axoneme contains, along most of its length, motor proteins from the axonemal dynein family. These motor proteins drive motility by using energy derived from the hydrolysis of ATP to generate a bending wave, which travels down the axoneme. As a first step towards visualizing the ATPase activity of the axonemal dyneins during bending, we have investigated the kinetics of nucleotide binding to axonemes. Using a specially built UV-TIRF microscope, we found that the fluorescent ATP analog mantATP (methylanthraniloyl adenosine triphosphate), which has been shown to support axonemal motility, binds all along isolated, immobilized axonemes. By studying the recovery of fluorescence after photobleaching, we found that there are three mantATP binding sites: one that bleaches rapidly (time constant ≈ 1.7 s) and recovers slowly (time constant ≈ 44 s), one that bleaches with the same time constant but does not recover and one that does not bleach. By reducing the dynein content in the axoneme using mutants and salt extraction, we provide evidence that the slow-recovering component corresponds to axonemal dyneins. The recovery rate of this component, however, is too slow to be consistent with the activation of beating observed at higher mantATP concentrations; this indicates that the dyneins may be inhibited due to their immobilization at the surface. The development of this method is a first step towards direct observation of the travelling wave of dynein activity.

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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