Experimental and finite element analysis for a multifunctional beam with frequency-dependent viscoelastic behavior
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This paper investigates the frequency dependent viscoelastic dynamics of a five layer multifunctional beam from finite element analysis and experimental validation. The frequencydependent behavior of the stiffness and damping of a viscoelastic material directly affects system modal frequencies and damping, and results in complex vibration modes and differences in the relative phase of vibration. A second order three parameter Golla-Hughes-McTavish (GHM) method and a second order three fields Anelastic Displacement Fields (ADF) is used to implement the viscoelastic material model, enabling the straightforward development of time domain and frequency domain finite elements, and describing the frequency dependent viscoelastic behavior. Considering the parameter identification, a strategy to estimate the fractional order of the time derivative and the relaxation time is outlined. The curve-fitting aspects of both GHM and ADF show good agreement with experimental data obtained from dynamic mechanics analysis. The performance of the finite element of the layered multifunctional beam is verified through experimental model analysis. © 2013 by Ya Wang, Dan Inman.
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