TY - JOUR N2 - 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 dynamic 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. L1 - http://journals.pan.pl/Content/125904/PDF/AME_2023_6.pdf L2 - http://journals.pan.pl/Content/125904 PY - 2023 IS - No 1 EP - 25 DO - 10.24425/ame.2022.144077 KW - sensitivity analysis KW - viscoelastic damping elements KW - dynamic characteristics KW - fractional derivatives A1 - Łasecka-Plura, Magdalena PB - Polish Academy of Sciences, Committee on Machine Building VL - vol. 70 DA - 20.01.2023 T1 - A comparative study of the sensitivity analysis for systems with viscoelastic elements SP - 5 UR - http://journals.pan.pl/dlibra/publication/edition/125904 T2 - Archive of Mechanical Engineering ER -