Abstract
Most of work on the identification theory for viscoelastic systems and its application have been restricted to the isotropic systems. These models are not enough to express all the actual viscoelastic systems because improvements in material properties and more effective engineering capabilities in utilizing anisotropic behavior have made an increase of anisotropy in viscoelastic systems.
In this papar we propose the identification method of three-dimensional hyperbolic distributed parameter systems with anisotropic viscoelasticity. First of all, we derive the Green function of systems whose boundary conditions are given as one free surface and another fixed surfaces. In this Green function, the eigenvalues coresponding to the free surface are expressed in so complex a manner that we approximate them explicitly for the identification of the system.
The validity of the proposed method has been confirmed by digital simulation and we applied this method to the actual anisotropic viscoelastic system to estimate the system prameters. The results of the estimates from the actual physical system have shown that the proposed method is useful.
