Determination of rheological model coefficients of pipeline composite material layers based on spectrum analysis and optimization

The article presents theoretical and experimental investigation on properties of a composite material based on rubber. The approach presented in this research is an experimental measurement based on spectrum analysis combined with theoretical investigation held to describe a viscous-elastic behaviour of the material. The proposed mathematical model is represented by five rheological parameters of hybrid Maxwell and Kelvin-Voigt elements and includes an optimization task for determination of the stiffness and damping coefficients. In the proposed rheological model, not only the displacements are unknown but also forces described by second-order differential equations. Validation between the experimental measurement and theoretical investigation is made based on spectrum analysis.