 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12788 |
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| In English (Mech. Solids): | | 4760 |
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| N.N. Bolotnik and V.A. Korneev, "On the Worst-Case Disturbance of an Oscillator with Quadratic Damping by an External Force with a Given Integral," Mech. Solids. 59 (1), 1-10 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
1-10 |
| DOI |
10.1134/S002565442360054X |
| Title |
On the Worst-Case Disturbance of an Oscillator with Quadratic Damping by an External Force with a Given Integral |
| Author(s) |
N.N. Bolotnik (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, bolonik@ipmnet.ru)
V.A. Korneev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, korneev@ipmnet.ru) |
| Abstract |
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. |
| Keywords |
oscillator with quadratic damping, optimal control, worst-case disturbances |
| Received |
15 March 2023 | Revised |
28 March 2023 | Accepted |
30 March 2023 |
| Link to Fulltext |
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