A comparative study of the sensitivity analysis for systems with viscoelastic elements
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee
2023
scientific article
english
- sensitivity analysis
- viscoelastic damping elements
- dynamic characteristics
- fractional derivatives
EN This paper discusses the different methods used for calculating first- and second- order sensitivity: the direct differentiation method, the adjoint variables method, and the hybrid method. The solutions obtained allow determining the sensitivity of dy- namic characteristics such as eigenvalues and eigenvectors, natural frequencies, and nondimensional damping ratios. The methods were applied for analyzing systems with viscoelastic damping elements, whose behavior can be described by classical and fractional rheological models. However, the derived formulas are general and can also be applied to systems with damping elements described by other models. Their advantage is a compact and easy to code form. The paper also presents a comparison of the computational costs of the discussed methods. The correctness of all the proposed methods has been illustrated with numerical examples.
20.01.2023
5 - 25
CC BY (attribution alone)
open journal
final published version
at the time of publication
70
1,2