Enviar artigo por via de e-mail On the Worst-Case Disturbance of an Oscillator with Quadratic Damping by an External Force with a Given Integral
- Autores: Bolotnik N.N.1, Korneev V.A.1
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Afiliações:
- Ishlinsky Institute for Problems in Mechanics RAS
- Edição: Nº 1 (2024)
- Páginas: 96-109
- Seção: Articles
- URL: https://journals.rcsi.science/1026-3519/article/view/262628
- DOI: https://doi.org/10.31857/S1026351924010056
- EDN: https://elibrary.ru/WAMYRK
- ID: 262628
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Resumo
The problem of constructing the worst-case disturbance for an oscillator with quadratic damping is considered. The disturbance is carried out by an external force, which is applied to the oscillator body, does not change the direction of its action and has a given impulse (time integral). It is assumed that before the onset of the disturbance the oscillator is in a state of equilibrium. The worst disturbance is considered to be one in which the absolute value of the displacement of the oscillator body from the equilibrium position reaches its maximum value. In the class of disturbances of a rectangular profile with a given impulse, the worst disturbance and the corresponding largest displacement and the time to reach it were found, depending on the parameters of the oscillator.
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Sobre autores
N. Bolotnik
Ishlinsky Institute for Problems in Mechanics RAS
Autor responsável pela correspondência
Email: bolotnik@ipmnet.ru
Rússia, Moscow, 119526
V. Korneev
Ishlinsky Institute for Problems in Mechanics RAS
Email: korneev@ipmnet.ru
Rússia, Moscow, 119526
Bibliografia
- E. Sevin and W. Pilkey, Optimum Shock and Vibration Isolation (Shock and Vibration Information Analysis Center, Washington DC, 1971).
- M. Z. Kolovsky, Automatic Control of Vibration Protection Systems (Nauka, Moscow, 1976) [in Russian].
- N. N. Bolotnik, Optimization of Shock and Vibration Isolation Systems (Nauka, Moscow, 1983) [in Russian].
- D. V. Balandin, N. N. Bolotnik, and W. D. Pilkey, Optimal Protection from Impact, Shock, and Vibration (Gordon and Breach Science, Amsterdam, 2001).
- W. D. Pilkey, D. V. Balandin, N. N. Bolotnik, et al., Injury Biomechanics and Control: Optimal Protection from Impact (Wiley and Sons, Inc., Hoboken, NJ, 2010).
- D. F. Ledezma-Ramirez, P. E. Tapia-Gonzalez, N. Ferguson, et al., “Recent advances in shock vibration isolation: an overview and future possibilities,” Appl. Mech.Rev. 71 (6), 060802 (2019). https://doi.org/10.1115/1.4044190
- A. A. Andronov, A. A. Witt, and S. E. Khaikin, Theory of Oscillators (Nauka, Moscow, 1981; Pergamon Press, Oxford, 1966).
- R. M. Corless, G. H. Gonnet, D.E. G. Hareet al., “On the Lambert W funсtion,” Adv. Comput. Math. 5, 329-359 (1996). https://doi.org/10.1007/BF02124750
- I. Mezo, The Lambert W Function: Its Generalizations and Applications (Chapman and Hall/CRC, Boca Raton, 2022).
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