Exact Eigensolutions for a Family of Nonuniform Rods With End Point Masses

dc.contributor.author	Rubio, Lourdes
dc.contributor.author	Fernández-Sáez, José
dc.contributor.author	Morassi, Antonino
dc.date.accessioned	2017-11-25T07:20:13Z
dc.date.available	2017-11-25T07:20:13Z
dc.date.copyright	2017/13/7
dc.date.issued	2017
dc.identifier.issn	1048-9002
dc.identifier.other	vib_139_05_051018.pdf
dc.identifier.uri	http://138.201.223.254:8080/yetl1/handle/yetl/4236288
dc.description.abstract	In this paper, new exact closed-form solutions for free longitudinal vibration of a one-parameter countable family of cantilever rods with one end tip mass are obtained. The analysis is based on the reduction of the equation governing the longitudinal vibration to the Sturm–Liouville canonical form and on the use of double Darboux transformations. The rods for which exact eigensolutions are provided are explicitly determined in terms of an initial rod with known closed-form eigensolutions. The method can be also extended to include longitudinally vibrating rods with tip mass at both ends.
dc.publisher	The American Society of Mechanical Engineers (ASME)
dc.title	Exact Eigensolutions for a Family of Nonuniform Rods With End Point Masses
dc.type	Journal Paper
dc.journal.volume	139
dc.journal.issue	5
dc.journal.title	Journal of Vibration and Acoustics
dc.identifier.doi	10.1115/1.4036467
dc.journal.fristpage	51018
dc.journal.lastpage	051018-7
dc.tree	Journal of Vibration and Acoustics:;2017:;volume( 139 ):;issue: 005
dc.contenttype	Fulltext