Control of Vibrations of a Beam with Nonlocal Boundary Conditions: Control of Vibrations of a Beam with Nonlocal Boundary Conditions

Daulet Nurakhmetov; Serik Jumabayev; Almir Aniyarov

doi:10.26577/ijmph.2021.v12.i2.05

Control of Vibrations of a Beam with Nonlocal Boundary Conditions

Authors

Daulet Nurakhmetov Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan http://orcid.org/0000-0003-2358-9092
Serik Jumabayev Academy of Public Administration under the President of the Republic of Kazakhstan, Nur-Sultan, Kazakhstan http://orcid.org/0000-0003-1803-5458
Almir Aniyarov Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan http://orcid.org/0000-0003-4786-1556

DOI:

https://doi.org/10.26577/ijmph.2021.v12.i2.05

Abstract

The control problem the first eigenvalues of the Euler-Bernoulli beam vibration with hinged and clamped fixings at both ends is considered. The control is based on Kanguzhin’s algorithm through integral perturbations of the boundary conditions of the original problem. Conditions for the boundary parameters for controlling the first eigenvalues are found.

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Published

2021-12-27

Issue

Vol. 12 No. 2 (2021): International Journal of Mathematics and Physics

Section

MATHEMATICS

License

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How to Cite

Control of Vibrations of a Beam with Nonlocal Boundary Conditions: Control of Vibrations of a Beam with Nonlocal Boundary Conditions. (2021). International Journal of Mathematics and Physics, 12(2), 45-49. https://doi.org/10.26577/ijmph.2021.v12.i2.05