{"title":"Pochhammer-Chree波：轴对称模的谱分析","authors":"Kuznetsov Sv","doi":"10.4172/2168-9873.1000301","DOIUrl":null,"url":null,"abstract":"The exact solutions of the linear Pochhammer-Chree equation for propagating harmonic waves in a cylindrical rod, are analyzed. Limiting velocities of the Pochhammer-Chree waves are discussed. Spectral analysis of the matrix dispersion equation for longitudinal axially symmetric modes of the Pochhammer-Chree waves is performed. Analytical expressions for displacement fields are derived.","PeriodicalId":90573,"journal":{"name":"Journal of applied mechanical engineering","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4172/2168-9873.1000301","citationCount":"2","resultStr":"{\"title\":\"Pochhammer-Chree Waves: Spectral Analysis of Axially Symmetric Modes\",\"authors\":\"Kuznetsov Sv\",\"doi\":\"10.4172/2168-9873.1000301\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The exact solutions of the linear Pochhammer-Chree equation for propagating harmonic waves in a cylindrical rod, are analyzed. Limiting velocities of the Pochhammer-Chree waves are discussed. Spectral analysis of the matrix dispersion equation for longitudinal axially symmetric modes of the Pochhammer-Chree waves is performed. Analytical expressions for displacement fields are derived.\",\"PeriodicalId\":90573,\"journal\":{\"name\":\"Journal of applied mechanical engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-02-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.4172/2168-9873.1000301\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of applied mechanical engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4172/2168-9873.1000301\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of applied mechanical engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4172/2168-9873.1000301","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Pochhammer-Chree Waves: Spectral Analysis of Axially Symmetric Modes
The exact solutions of the linear Pochhammer-Chree equation for propagating harmonic waves in a cylindrical rod, are analyzed. Limiting velocities of the Pochhammer-Chree waves are discussed. Spectral analysis of the matrix dispersion equation for longitudinal axially symmetric modes of the Pochhammer-Chree waves is performed. Analytical expressions for displacement fields are derived.
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