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By Gang W.

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3 Golla-Hughes-McTavish Model The Golla-Hughes-McTavish (GHM) method is a technique for deriving viscoelstic finite elements from commonly used elastic finite elements and measurements of frequency dependent complex modulus. 6. The effect of the mini-oscillator includes a second order rational function involving three parameters. These mini-oscillators are used to curve fit the experimental data in the frequency domain, and a time domain representation of viscoelastic model can be achieved through Laplace transformation.

A complex modulus that describes the steady state response of the viscoelastic material to a sinusoidal load is used to capture the characteristics of viscoelastic materials. The complex modulus is dependent on the steady state frequency of harmonic excitation as well as temperature. There are various techniques for determining the complex modulus of viscoelastic materials experimentally. The details of test setup, specimen selection criteria, test procedures and other relevant issues are discussed by Nashif el at [47].

2. Experiments were conducted to validate the analyses for those two beams. This chapter has been accepted for the publication by the ASME Journal of Vibration and Acoustics and in Reference [66]. 3 shows the cross section of beam with PCLD treatment. The three displacements considered are the longitudinal displacements, u1 and u3 in the face layers 1 and 3, and the transverse displacement w for the whole sandwich beam. Mead [45] summarized the assumptions used in the modeling of beam with PCLD treatment.

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