{"title":"Slow-dissipation limit of the harmonic oscillator with general power-law damping","authors":"Jarrett L. Lancaster","doi":"10.1119/10.0001794","DOIUrl":null,"url":null,"abstract":"An approximate solution is presented for simple harmonic motion in the presence of damping by a force which is a general power-law function of the velocity. The approximation is shown to be quite robust, allowing for a simple way to investigate amplitude decay in the presence of general types of weak, nonlinear damping.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"327 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1119/10.0001794","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
An approximate solution is presented for simple harmonic motion in the presence of damping by a force which is a general power-law function of the velocity. The approximation is shown to be quite robust, allowing for a simple way to investigate amplitude decay in the presence of general types of weak, nonlinear damping.
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