{"title":"Internal ballistics of the arrow-bow system in the transverse plane","authors":"Ihor Zanevskyy, Lyudmyla Zanevska","doi":"10.20998/2411-0558.2023.01.11","DOIUrl":null,"url":null,"abstract":"A mechanical-mathematical model of the arrow-bow system has been developed, taking into account the longitudinal dynamic bending of the arrow in the transverse plane. The method of studying the system in the form of Lagrange equations of the second kind, constructed on the basis of Hamilton’s variation principle, was applied. The natural frequencies and Eigen functions were determined using a modified Newtonian method with use of Feodosiev series. Il.: 3. Bibliogr.: 23 items.","PeriodicalId":32537,"journal":{"name":"Vestnik Irkutskogo gosudarstvennogo tekhnicheskogo universiteta","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik Irkutskogo gosudarstvennogo tekhnicheskogo universiteta","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20998/2411-0558.2023.01.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A mechanical-mathematical model of the arrow-bow system has been developed, taking into account the longitudinal dynamic bending of the arrow in the transverse plane. The method of studying the system in the form of Lagrange equations of the second kind, constructed on the basis of Hamilton’s variation principle, was applied. The natural frequencies and Eigen functions were determined using a modified Newtonian method with use of Feodosiev series. Il.: 3. Bibliogr.: 23 items.