On the eigencharacteristics of a cantilevered visco-elastic beam carrying a tip mass and its representation by a spring-damper-mass system

The present note is concerned with the derivation of the characteristic equation of a cantilevered, visco-elastic bending beam (Kelvin–Voigt model), carrying a tip mass. Further, it is attempted to represent this continuous system by an “equivalent” spring-damper-mass system. Then, the “first” eigen...

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Veröffentlicht in:	Journal of sound and vibration 2007-03, Vol.301 (1), p.420-426
Hauptverfasser:	Gürgöze, M., Doğruoğlu, A.N., Zeren, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Beschreibung
Zusammenfassung:	The present note is concerned with the derivation of the characteristic equation of a cantilevered, visco-elastic bending beam (Kelvin–Voigt model), carrying a tip mass. Further, it is attempted to represent this continuous system by an “equivalent” spring-damper-mass system. Then, the “first” eigenvalues of these systems are calculated and tabulated for a wide range of the non-dimensional mass parameter.
ISSN:	0022-460X 1095-8568
DOI:	10.1016/j.jsv.2006.10.002