{"title":"Theoretical Study of the Energies of the Oscillating System with a Well-Distributed Mass of the Spring","authors":"Ye-Wan Ma, Hansen Chang, Zhao-Wang Wu, Yan-Yan Jiang, Juan Li, Xun-Chang Yin, Q. Liu, Li-Hua Zhang","doi":"10.32604/sv.2019.04622","DOIUrl":null,"url":null,"abstract":"The energy of a spring with a well-distributed mass ms is theoretically studied in this paper. The solution of the wave equation is derived in detail, and then the kinetic energy and potential energy of the spring are studied with the wave equation, as well as the kinetic energy of the oscillating mass M. The kinetic energy and potential energy of the spring, and total energy are numerically simulated for different ratios ms/M with considering the spring’s mass, which makes the property of energy of the oscillating system understood easily.","PeriodicalId":49496,"journal":{"name":"Sound and Vibration","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sound and Vibration","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.32604/sv.2019.04622","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ACOUSTICS","Score":null,"Total":0}
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Abstract
The energy of a spring with a well-distributed mass ms is theoretically studied in this paper. The solution of the wave equation is derived in detail, and then the kinetic energy and potential energy of the spring are studied with the wave equation, as well as the kinetic energy of the oscillating mass M. The kinetic energy and potential energy of the spring, and total energy are numerically simulated for different ratios ms/M with considering the spring’s mass, which makes the property of energy of the oscillating system understood easily.
期刊介绍：
Sound & Vibration is a journal intended for individuals with broad-based interests in noise and vibration, dynamic measurements, structural analysis, computer-aided engineering, machinery reliability, and dynamic testing. The journal strives to publish referred papers reflecting the interests of research and practical engineering on any aspects of sound and vibration. Of particular interest are papers that report analytical, numerical and experimental methods of more relevance to practical applications.
Papers are sought that contribute to the following general topics:
-broad-based interests in noise and vibration-
dynamic measurements-
structural analysis-
computer-aided engineering-
machinery reliability-
dynamic testing
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