Abstract

Natural frequencies change in the presence of localized damage, yet such alterations are often minimal because these frequencies represent global properties. The Lekszycki method amplifies these small shifts by introducing a mass at various positions in the structure before and after damage occurs. The frequency change is most pronounced when the mass is near the damaged area. To ensure the method’s effectiveness, a sufficiently large number of natural frequencies must be monitored. However, the presence of dissipation such as viscous damping complicates measurement, as higher order modes are more heavily attenuated, potentially undermining damage identification. This paper is the first to incorporate viscous damping into the analysis, offering a parametric study on different dissipation levels. Additionally, it presents the method under the name “Lekszycki method”, honoring Tomesz Lekszycki, the Polish scientist who originally conceived it and contributed to M&MoCS, the international research center associated with this journal.

Keywords

Mathematical Subject Classification

Milestones

Authors