A. I. Andreev, A. E. Semenov, B. M. Slavin, V. A. Chanchikov
{"title":"汤普逊顶进动动力学","authors":"A. I. Andreev, A. E. Semenov, B. M. Slavin, V. A. Chanchikov","doi":"10.1134/S0025654424606025","DOIUrl":null,"url":null,"abstract":"<p>In this article, the dynamics of precession of the Thompson top has been studied. Test benches have been developed and experiments have been carried out. Based on the data obtained, the dependences of the angular velocity of precession at high initial values of up to 340 rad/s are shown. Analytical studies have been carried out and the dependences of energy changes during precession have been obtained. The relation between the roughness coefficient and the resulting friction moment is obtained. The relations between the work of friction and the roughness coefficient, that gives an understanding of the dynamics of energy indicators during the entire process, are obtained. The question of the use of a viscous friction model remains open and as does a more detailed study of the proportionality coefficient to establish refined dependencies for precession. The experimental data obtained show the influence of the roughness coefficient on precession and on the occurrence of the friction force, leading to the capsizing of the top. Further research in this field should show the applicability of the viscous model and the study of critical points, namely the rise to the leg and the passage of the highest value of the moment of inertia.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 3","pages":"1640 - 1649"},"PeriodicalIF":0.9000,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamics of Precession of the Thompson Top\",\"authors\":\"A. I. Andreev, A. E. Semenov, B. M. Slavin, V. A. Chanchikov\",\"doi\":\"10.1134/S0025654424606025\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this article, the dynamics of precession of the Thompson top has been studied. Test benches have been developed and experiments have been carried out. Based on the data obtained, the dependences of the angular velocity of precession at high initial values of up to 340 rad/s are shown. Analytical studies have been carried out and the dependences of energy changes during precession have been obtained. The relation between the roughness coefficient and the resulting friction moment is obtained. The relations between the work of friction and the roughness coefficient, that gives an understanding of the dynamics of energy indicators during the entire process, are obtained. The question of the use of a viscous friction model remains open and as does a more detailed study of the proportionality coefficient to establish refined dependencies for precession. The experimental data obtained show the influence of the roughness coefficient on precession and on the occurrence of the friction force, leading to the capsizing of the top. Further research in this field should show the applicability of the viscous model and the study of critical points, namely the rise to the leg and the passage of the highest value of the moment of inertia.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"60 3\",\"pages\":\"1640 - 1649\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0025654424606025\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424606025","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
In this article, the dynamics of precession of the Thompson top has been studied. Test benches have been developed and experiments have been carried out. Based on the data obtained, the dependences of the angular velocity of precession at high initial values of up to 340 rad/s are shown. Analytical studies have been carried out and the dependences of energy changes during precession have been obtained. The relation between the roughness coefficient and the resulting friction moment is obtained. The relations between the work of friction and the roughness coefficient, that gives an understanding of the dynamics of energy indicators during the entire process, are obtained. The question of the use of a viscous friction model remains open and as does a more detailed study of the proportionality coefficient to establish refined dependencies for precession. The experimental data obtained show the influence of the roughness coefficient on precession and on the occurrence of the friction force, leading to the capsizing of the top. Further research in this field should show the applicability of the viscous model and the study of critical points, namely the rise to the leg and the passage of the highest value of the moment of inertia.
期刊介绍:
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.