{"title":"Vibrational Interactions When Mounting Several Rotors on an Elastic Base","authors":"L. Ya. Banakh, O. V. Barmina","doi":"10.1134/S105261882470167X","DOIUrl":null,"url":null,"abstract":"<p>The vibrations that arise in a system when several rotors with a small spread of dynamic characteristics are mounted on the elastic base are studied. Symmetrical frame structures with both linear and nonlinear elastic characteristics are considered as a base. It is shown that, in these systems, the interaction of different vibration modes occurs due to the low asymmetry, and unstable resonance modes with sharp jumps in vibration amplitudes occur at certain rotor rotation speeds. A system consisting of four rotors mounted on an elastic square shock-absorbing frame is analyzed. The conditions for the occurrence of unstable modes and the most dangerous rotor rotation speeds are found. The calculated and theoretical results are given. The mathematical apparatus of the theory of representation of symmetry groups is used for analytical studies of a symmetric system.</p>","PeriodicalId":642,"journal":{"name":"Journal of Machinery Manufacture and Reliability","volume":"54 1","pages":"33 - 39"},"PeriodicalIF":0.4000,"publicationDate":"2025-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Machinery Manufacture and Reliability","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S105261882470167X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The vibrations that arise in a system when several rotors with a small spread of dynamic characteristics are mounted on the elastic base are studied. Symmetrical frame structures with both linear and nonlinear elastic characteristics are considered as a base. It is shown that, in these systems, the interaction of different vibration modes occurs due to the low asymmetry, and unstable resonance modes with sharp jumps in vibration amplitudes occur at certain rotor rotation speeds. A system consisting of four rotors mounted on an elastic square shock-absorbing frame is analyzed. The conditions for the occurrence of unstable modes and the most dangerous rotor rotation speeds are found. The calculated and theoretical results are given. The mathematical apparatus of the theory of representation of symmetry groups is used for analytical studies of a symmetric system.
期刊介绍：
Journal of Machinery Manufacture and Reliability is devoted to advances in machine design; CAD/CAM; experimental mechanics of machines, machine life expectancy, and reliability studies; machine dynamics and kinematics; vibration, acoustics, and stress/strain; wear resistance engineering; real-time machine operation diagnostics; robotic systems; new materials and manufacturing processes, and other topics.
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