0000000000824505
AUTHOR
Daniela Kapp
Fractional-Order System Identification of Viscoelastic Behavior: A Frequency Domain Based Experimental Study
In this work, the fractional-order modeling of viscoelastic behavior is investigated based on measurement data in the frequency domain. For the results of two different test setups we apply existing parameter estimation algorithms designed for fractional-order transfer functions. These algorithms require a priori knowledge of the system structure including the commensurate order of differentiation. An iterative procedure is used to evaluate the influence of the unknown structure. The measured polymer samples show a viscoelastic stress response. We can show that integer-order models are not capable of capturing this behavior. For a set of predefined structures, the best obtained fractional-o…
Identification of Fractional-Order Models for Viscoelastic Behavior
Master's thesis in Mechatronics (MAS500). In this thesis, the fractional-order modeling of viscoelastic behavior based on measurement data obtained in the frequency domain is analyzed. Polymer samples as well as the transfer behavior of a hydraulic dashpot are investigated, whereby two different experimental setups are used for the former. Existing fractional-order transfer function estimation algorithms based on integer-order identification techniques are applied. These algorithms require a priori knowledge of the system structure including the commensurate order of differentiation. Hence an iterative procedure is used to evaluate the influence of the unknown structure. To avoid this, a gl…