This paper presents an analytical model for predicting the hysteretic
behavior of viscoelastic dampers based on the Boltzmann's superpositio
n principle and the method of reduced variables. The model parameters
have physical meaning and they can be determined from simple time-doma
in and frequency-domain tests. The presented model is checked against
damper tests performed under different strain inputs and shows good re
sults. Test procedure and determination of model parameters are also d
iscussed. Under certain conditions, it is shown that a significant sim
plification results in determining the frequency and temperature depen
dency of the shear storage and shear loss moduli of the viscoelastic m
aterial, leading to useful applications to viscoelastic damper design
and structural applications. Finally, the presented model is compared
with the ones based on the concept of fractional derivatives.