{"title":"On the Worst-Case Disturbance of an Oscillator with Quadratic Damping by an External Force with a Given Integral","authors":"N. N. Bolotnik, V. A. Korneev","doi":"10.1134/S002565442360054X","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S002565442360054X","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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