{"title":"考虑加性色噪声下温度场和应变场连接的束板纳米谐振器非线性动力学研究的理论与方法","authors":"I. Papkova, A. Krysko, V. Krysko","doi":"10.23919/icins43215.2020.9133824","DOIUrl":null,"url":null,"abstract":"A theory of geometrically nonlinear dynamics of nanoplates has been constructed with allowance for the temperature and strain fields connection on the basis of the modified moment theory taking into account the transverse load and additive color noise. A research method based on the qualitative theory of differential equations has been developed. An example of the additive color noise influence on nonlinear vibrations for an elastic Euler-Bernoulli beam is given.","PeriodicalId":127936,"journal":{"name":"2020 27th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Theory and Methods for Studying the Nonlinear Dynamics of a Beam-Plate Nano Resonator Taking into Account the Temperature and Strain Fields Connection in Additive Color Noise\",\"authors\":\"I. Papkova, A. Krysko, V. Krysko\",\"doi\":\"10.23919/icins43215.2020.9133824\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A theory of geometrically nonlinear dynamics of nanoplates has been constructed with allowance for the temperature and strain fields connection on the basis of the modified moment theory taking into account the transverse load and additive color noise. A research method based on the qualitative theory of differential equations has been developed. An example of the additive color noise influence on nonlinear vibrations for an elastic Euler-Bernoulli beam is given.\",\"PeriodicalId\":127936,\"journal\":{\"name\":\"2020 27th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 27th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/icins43215.2020.9133824\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 27th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/icins43215.2020.9133824","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Theory and Methods for Studying the Nonlinear Dynamics of a Beam-Plate Nano Resonator Taking into Account the Temperature and Strain Fields Connection in Additive Color Noise
A theory of geometrically nonlinear dynamics of nanoplates has been constructed with allowance for the temperature and strain fields connection on the basis of the modified moment theory taking into account the transverse load and additive color noise. A research method based on the qualitative theory of differential equations has been developed. An example of the additive color noise influence on nonlinear vibrations for an elastic Euler-Bernoulli beam is given.
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