{"title":"正交各向异性锥形壳的自由振动","authors":"S. D. Algazin, I. A. Selivanov","doi":"10.3103/S0027133022050028","DOIUrl":null,"url":null,"abstract":"<p>Free oscillations of an orthotropic conical shell of finite length are considered. This is a problem of the 80s–90s of the last century. Most problems of solid mechanics are described by elliptic equations that have smooth solutions, and, therefore, the development of algorithms that take into account this smoothness is relevant. The paper presents a modern algorithm without saturation and considers specific calculations that show its high efficiency.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 5","pages":"136 - 142"},"PeriodicalIF":0.3000,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Free Oscillations of an Orthotropic Conical Shell\",\"authors\":\"S. D. Algazin, I. A. Selivanov\",\"doi\":\"10.3103/S0027133022050028\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Free oscillations of an orthotropic conical shell of finite length are considered. This is a problem of the 80s–90s of the last century. Most problems of solid mechanics are described by elliptic equations that have smooth solutions, and, therefore, the development of algorithms that take into account this smoothness is relevant. The paper presents a modern algorithm without saturation and considers specific calculations that show its high efficiency.</p>\",\"PeriodicalId\":710,\"journal\":{\"name\":\"Moscow University Mechanics Bulletin\",\"volume\":\"77 5\",\"pages\":\"136 - 142\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-02-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moscow University Mechanics Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S0027133022050028\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133022050028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Free oscillations of an orthotropic conical shell of finite length are considered. This is a problem of the 80s–90s of the last century. Most problems of solid mechanics are described by elliptic equations that have smooth solutions, and, therefore, the development of algorithms that take into account this smoothness is relevant. The paper presents a modern algorithm without saturation and considers specific calculations that show its high efficiency.
期刊介绍:
Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.