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Free vibration of elastically restrained cantilever tapered beams with concentrated viscous damping and mass

M.A. De Rosa
M. Lippiello
M.J. Maurizi
H.D. Martin
Journal / Anthology

Mechanics Research Communications
Year: 2010
Volume: 37
Issue: 2
Page range: 261-264

In this paper the free vibration frequencies of Euler–Bernoulli tapered beams are deduced. The symbolic software Mathematica is used in order to find the free vibration frequencies of a beam carrying a tip mass, a single dashpot at an arbitrary location and elastically constrained at left. The frequency equation is deduced and analytically solved. Various numerical examples are investigated.