{"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}
引用次数: 2
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.