{"title":"固体沿倾斜表面的振动运动","authors":"A. I. Munitsyn, L. N. Krainova","doi":"10.1134/S1052618823070178","DOIUrl":null,"url":null,"abstract":"<p>We treat the problem of the motion of a heavy flat body along an inclined plane under the action of two harmonic forces in the vertical and horizontal directions. The interaction of the body and the inclined surface is taken into account according to the dry friction model. An analytical solution of the problem for periodic solutions is obtained. Four possible modes of motion have been revealed. The dependences of the characteristic phases and the average speed of movement over the period on the amplitude of harmonic forces are constructed. Conditions are obtained under which a body can move up an inclined plane.</p>","PeriodicalId":642,"journal":{"name":"Journal of Machinery Manufacture and Reliability","volume":"52 7","pages":"658 - 663"},"PeriodicalIF":0.4000,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vibrational Movement of a Solid Body along an Inclined Surface\",\"authors\":\"A. I. Munitsyn, L. N. Krainova\",\"doi\":\"10.1134/S1052618823070178\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We treat the problem of the motion of a heavy flat body along an inclined plane under the action of two harmonic forces in the vertical and horizontal directions. The interaction of the body and the inclined surface is taken into account according to the dry friction model. An analytical solution of the problem for periodic solutions is obtained. Four possible modes of motion have been revealed. The dependences of the characteristic phases and the average speed of movement over the period on the amplitude of harmonic forces are constructed. Conditions are obtained under which a body can move up an inclined plane.</p>\",\"PeriodicalId\":642,\"journal\":{\"name\":\"Journal of Machinery Manufacture and Reliability\",\"volume\":\"52 7\",\"pages\":\"658 - 663\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-12-28\",\"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/S1052618823070178\",\"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/S1052618823070178","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Vibrational Movement of a Solid Body along an Inclined Surface
We treat the problem of the motion of a heavy flat body along an inclined plane under the action of two harmonic forces in the vertical and horizontal directions. The interaction of the body and the inclined surface is taken into account according to the dry friction model. An analytical solution of the problem for periodic solutions is obtained. Four possible modes of motion have been revealed. The dependences of the characteristic phases and the average speed of movement over the period on the amplitude of harmonic forces are constructed. Conditions are obtained under which a body can move up an inclined plane.
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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