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


Gurgoze M. , Dogruoglu A. N. , zeren s.

JOURNAL OF SOUND AND VIBRATION, vol.301, pp.420-426, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 301
  • Publication Date: 2007
  • Doi Number: 10.1016/j.jsv.2006.10.002
  • Title of Journal : JOURNAL OF SOUND AND VIBRATION
  • Page Numbers: pp.420-426

Abstract

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. (c) 2006 Elsevier Ltd. All rights reserved.