{"title":"干摩擦圆盘在旋转水平面上的运动","authors":"A.V. Karapetyan","doi":"10.1016/j.jappmathmech.2017.02.003","DOIUrl":null,"url":null,"abstract":"<div><p>In the problem of the movement of a round disc on a horizontal plane uniformly rotating about a vertical with dry friction<span><span>, invariant sets are indicated and their properties determined. The law of motion of the disc is found for the case of a low </span>friction coefficient.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"80 5","pages":"Pages 376-380"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.02.003","citationCount":"3","resultStr":"{\"title\":\"The movement of a disc on a rotating horizontal plane with dry friction\",\"authors\":\"A.V. Karapetyan\",\"doi\":\"10.1016/j.jappmathmech.2017.02.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In the problem of the movement of a round disc on a horizontal plane uniformly rotating about a vertical with dry friction<span><span>, invariant sets are indicated and their properties determined. The law of motion of the disc is found for the case of a low </span>friction coefficient.</span></p></div>\",\"PeriodicalId\":49686,\"journal\":{\"name\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"volume\":\"80 5\",\"pages\":\"Pages 376-380\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.02.003\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021892817300035\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892817300035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
The movement of a disc on a rotating horizontal plane with dry friction
In the problem of the movement of a round disc on a horizontal plane uniformly rotating about a vertical with dry friction, invariant sets are indicated and their properties determined. The law of motion of the disc is found for the case of a low friction coefficient.
期刊介绍:
This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.