{"title":"两级圆柱齿轮减速器电传动振动的数学模型","authors":"L. A. Kondratenko, L. I. Mironova","doi":"10.1134/S1052618824701474","DOIUrl":null,"url":null,"abstract":"<p>For the description of power transmission through drive links, a system of linear first-order differential equations has been applied taking into account the accelerations and rates of changes in stresses under torsional and transverse oscillations. An eighth order vector equation has been derived and solved, including algebraic elements, making it possible to calculate the fluctuations of stresses and motion velocities in any link of the system to a first approximation with the use of an engineering method. For a particular drive, the effect of the inertial properties of the load and the features of resistance torque formation exerted on the dynamic characteristics of the drive has been analyzed.</p>","PeriodicalId":642,"journal":{"name":"Journal of Machinery Manufacture and Reliability","volume":"53 2 supplement","pages":"S131 - S144"},"PeriodicalIF":0.4000,"publicationDate":"2025-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical Model for Oscillations in an Electric Drive with a Two-Stage Cylindrical Gear Reducer\",\"authors\":\"L. A. Kondratenko, L. I. Mironova\",\"doi\":\"10.1134/S1052618824701474\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>For the description of power transmission through drive links, a system of linear first-order differential equations has been applied taking into account the accelerations and rates of changes in stresses under torsional and transverse oscillations. An eighth order vector equation has been derived and solved, including algebraic elements, making it possible to calculate the fluctuations of stresses and motion velocities in any link of the system to a first approximation with the use of an engineering method. For a particular drive, the effect of the inertial properties of the load and the features of resistance torque formation exerted on the dynamic characteristics of the drive has been analyzed.</p>\",\"PeriodicalId\":642,\"journal\":{\"name\":\"Journal of Machinery Manufacture and Reliability\",\"volume\":\"53 2 supplement\",\"pages\":\"S131 - S144\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2025-01-12\",\"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/S1052618824701474\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Machinery Manufacture and Reliability","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1052618824701474","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Mathematical Model for Oscillations in an Electric Drive with a Two-Stage Cylindrical Gear Reducer
For the description of power transmission through drive links, a system of linear first-order differential equations has been applied taking into account the accelerations and rates of changes in stresses under torsional and transverse oscillations. An eighth order vector equation has been derived and solved, including algebraic elements, making it possible to calculate the fluctuations of stresses and motion velocities in any link of the system to a first approximation with the use of an engineering method. For a particular drive, the effect of the inertial properties of the load and the features of resistance torque formation exerted on the dynamic characteristics of the drive has been analyzed.
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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