{"title":"刚体动力学方程的不变量关系和特解","authors":"G.V. Gorr","doi":"10.1016/j.jappmathmech.2017.12.005","DOIUrl":null,"url":null,"abstract":"<div><p>The existence conditions for invariant relations and particular solutions of Grioli's equations for the problem of the motion of a rigid body with a fixed point are considered. New classes of solutions of the equations of motion of a rigid body with a fixed point are obtained.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 4","pages":"Pages 286-294"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.005","citationCount":"5","resultStr":"{\"title\":\"Invariant relations and particular solutions of the dynamic equations of a rigid body\",\"authors\":\"G.V. Gorr\",\"doi\":\"10.1016/j.jappmathmech.2017.12.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The existence conditions for invariant relations and particular solutions of Grioli's equations for the problem of the motion of a rigid body with a fixed point are considered. New classes of solutions of the equations of motion of a rigid body with a fixed point are obtained.</p></div>\",\"PeriodicalId\":49686,\"journal\":{\"name\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"volume\":\"81 4\",\"pages\":\"Pages 286-294\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.005\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021892817301077\",\"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/S0021892817301077","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Invariant relations and particular solutions of the dynamic equations of a rigid body
The existence conditions for invariant relations and particular solutions of Grioli's equations for the problem of the motion of a rigid body with a fixed point are considered. New classes of solutions of the equations of motion of a rigid body with a fixed point are obtained.
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.