TY - JOUR N2 - The paper presents the results of tests on dynamic stability of Bernoulli-Euler beam with damages. Damages (cracks) were modeled using three rotational springs. An analysis of the influence of crack depth and their position relative to the beam ends on dynamic stability of the beam was carried out. The problem of dynamic stability was solved by applying the mode summation method. Applying an orthogonal condition of eigenfunctions, the dynamic of the system was described with the use of the Mathieu equation. The obtained equation allowed the dynamic stability of the tested system to be analyzed. Stable and unstable solutions were analyzed using the Strutt card. L1 - http://www.czasopisma.pan.pl/Content/118809/PDF/AMM-2021-2-23-Garus.pdf L2 - http://www.czasopisma.pan.pl/Content/118809 PY - 2021 IS - No 2 EP - 522 DO - 10.24425/amm.2021.135887 KW - material cracks KW - Beam KW - dynamic stability KW - Mathieu equation A1 - Sochacki, W. A1 - Garus, S. A1 - Garus, J. PB - Institute of Metallurgy and Materials Science of Polish Academy of Sciences PB - Committee of Materials Engineering and Metallurgy of Polish Academy of Sciences VL - vol. 66 DA - 2021.05.13 T1 - Influence of Material Defects on the Dynamic Stability of the Bernoulli-Euler Beam SP - 519 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/118809 T2 - Archives of Metallurgy and Materials ER -