Improved Solution Techniques for the Eigenstructure of Fractional Order Systems.

摘要

The structural problem of a viscoelastically damped rod is considered. A four parameter fractional derivative viscoelastic model rather than the traditional viscous model is used to describe the stress-strain relationship. The introduction of fractional order derivatives leads to high order matrix equations, which are cumbersome and time consuming to solve. Thus, there exists a motivation to seek alternate solution techniques. An existing technique, modified matrix iteration, is presented, and a new one, employing spectrum shift concepts, is proposed. The spectrum shift technique is shown to be significantly more efficient. Keywords: Viscoelasticity; Damping; Numerical methods. (jhd)