Abstract
The quasi-statical behavior and the nonlinear dynamical behavior of a viscoelastic (VE) column have been experimentally observed. Expressions for linear quasi-statical relationships between displacement and force of the model, in terms of the spring-pot model (statical model) that depends on the fractional derivative (FD) parameters q and c are obtained from the experimental results. Close inspection of the damping capacity which is obtained from the experimental results reveals that the damping capacity obeys fractional power law with respect to excitation frequency and exponential law with respect to compressive pre-strain. From these observations, we found that g and c of the FD model (dynamical model) with nonlinear spring term depend on the pre-strain ε_s when ε_s is relatively large.
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