Unique recovery of unknown spatial load in damped Euler–Bernoulli beam equation from final time measured output-Reference-Cited by-同舟云学术

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Unique recovery of unknown spatial load in damped Euler–Bernoulli beam equation from final time measured output

Published:2021-06-22 Issue:7 Volume:37 Page:075005
ISSN:0266-5611
Container-title:Inverse Problems
language:
Short-container-title:Inverse Problems

Author:

Hasanov Alemdar^ORCID,Romanov Vladimir,Baysal Onur

Funder

High Education of the Russian Federation

Ministry of Science

CAPES

UBYT

Incentive Program for International Scientiﬁc

Novosibirsk State University

Mathematical Center

Scientiﬁc and Technological Research Council of Turkey

Publisher

IOP Publishing

Subject

Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science

Link

https://iopscience.iop.org/article/10.1088/1361-6420/ac01fb/pdf

Reference22 articles.

1. On damping mechanisms in beams;Banks;J. Appl. Mech.,1991

2. Inverse eigenvalue problems;Barcilon,1986

3. Solvability of the clamped Euler–Bernoulli beam equation;Baysal;Appl. Math. Lett.,2019

4. Classical normal modes in damped linear dynamic systems;Caughey;J. Appl. Mech.,1965

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1. Inverse problem of determining the time- dependent beam stiffness coefficient in the beam vibration equation using the finite difference method;Eurasian Journal of Mathematical and Computer Applications;2024-03-25

2. Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation;Journal of Inverse and Ill-posed Problems;2024-01-30

3. Inverse problems of identifying the unknown transverse shear force in the Euler–Bernoulli beam with Kelvin–Voigt damping;Journal of Inverse and Ill-posed Problems;2023-02-28

4. Simultaneous identification of spatial load and external heat source in thermoelastic plate from final time measured displacement;Inverse Problems and Imaging;2023

5. Simultaneous determination of mass density and flexural rigidity of the damped Euler–Bernoulli beam from two boundary measured outputs;Journal of Inverse and Ill-posed Problems;2022-10-25

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