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Lazan BJ (1968) Damping of materials and members in structural mechanics. Pergamon Press, Oxford, Print 2. Haan YM, Sluimer GM (2001) Standard linear solid model for dynamics and time dependent behavior of building materials. Heron 46 (1):49–76 3. Granick N, Stern JE (1965) Material damping of aluminum by a resonant-dwell technique. NASA, TN D-2893 4. Liu M, Gorman DJ (1995) Formulation of Rayleigh damping and its extensions. Comput Struct 57(2):277–285 5. Giani GP (1992) Rock slope stability analysis.

Menefee et al. Fig. 7 Comparison of experimental and mass-proportional accelerations for calibration structure Fig. 8 Comparison of experimental and stiffness-proportional accelerations for calibration structure viscoelastic model with the experimental tip acceleration. The higher modes are damped out almost immediately after the tip is released, much more quickly than happened in the experiments. Because the viscoelastic damping model has two free variables, it is possible that a different choice of g1, or k1, and t1 would have yielded the same damping on the first mode, but less damping on higher modes.

Gaul: Finite Element Formulation of Viscoelastic Constitutive Equations Using Fractional Time Derivatives Nonlinear Dynamics 29, 37–55, 2002 Fractional time derivatives are used to deduce a generalization of viscoelastic constitutive equations of differential operator type. These so-called fractional constitutive equations result in improved curve-fitting properties, especially when experimental data from long time intervals or spanning several frequency decades need to be fitted. Compared to integerorder time derivative concepts less parameters are required.

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