Controlling the One-Dimensional Motion of Hybrid Vibrational Rod Systems
- Autores: Akulenko L.1, Gavrikov A.1
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Afiliações:
- Ishlinsky Institute for Problems in Mechanics
- Edição: Volume 57, Nº 3 (2018)
- Páginas: 349-357
- Seção: Control in Deterministic Systems
- URL: https://journals.rcsi.science/1064-2307/article/view/220105
- DOI: https://doi.org/10.1134/S1064230718020028
- ID: 220105
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Resumo
A mathematical model of the one-dimensional controlled motion of a hybrid vibrational system is proposed. The plant includes an inhomogeneous elastic rod with loads concentrated at its endpoints. An analytical-numerical procedure for finding the eigenvalues (eigenfrequencies) and eigenfunctions is developed. A novel procedure to take into account the nonuniform distributed forces and forces concentrated at the endpoints using a modification of Grinberg’s approach is presented. Efficient statements and constructive approximate solutions of the problems for controlling the motion of a countably dimensional vibrational system with a complex distribution of eigenfrequencies are proposed.
Sobre autores
L. Akulenko
Ishlinsky Institute for Problems in Mechanics
Email: gavrikov@ipmnet.ru
Rússia, Moscow, 119991
A. Gavrikov
Ishlinsky Institute for Problems in Mechanics
Autor responsável pela correspondência
Email: gavrikov@ipmnet.ru
Rússia, Moscow, 119991
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