{"title":"Study of Self-Excited Pitch Oscillations of Conical-Spherical Body at Mach Number M = 1.75 and Two Moments of Inertia","authors":"N. A. Mishchenko, E. A. Chasovnikov","doi":"10.25205/2541-9447-2023-18-1-43-52","DOIUrl":null,"url":null,"abstract":"Tests of a conical-spherical body in a supersonic wind tunnel were carried out on a free oscillation installation along the pitch angle at a Mach number M = 1.75 and two moments of inertia of the body relative to the axis of rotation. For a body with a large moment of inertia, self-oscillations with the amplitude of ca. 10 deg were obtained. For the first time, the phenomenon of degeneration of self-oscillations for a body with a smaller moment of inertia has been discovered. An attempt was made to model the phenomenon using an ordinary linear differential equation of the first order","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"205 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Siberian Federal University-Mathematics & Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25205/2541-9447-2023-18-1-43-52","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Tests of a conical-spherical body in a supersonic wind tunnel were carried out on a free oscillation installation along the pitch angle at a Mach number M = 1.75 and two moments of inertia of the body relative to the axis of rotation. For a body with a large moment of inertia, self-oscillations with the amplitude of ca. 10 deg were obtained. For the first time, the phenomenon of degeneration of self-oscillations for a body with a smaller moment of inertia has been discovered. An attempt was made to model the phenomenon using an ordinary linear differential equation of the first order
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