TY - JOUR N2 - In this paper the basic methodology of the coupled response-degradation modelling of stochastic dynamical systems is presented along with the effective analysis of selected problems. First, the general formulation of the problems of stochastic dynamics coupled with the evolution of deterioration process is given. Then some specific degrading oscillatory systems under random excitation are analyzed with a special attention on the systems with fatigue-induced stiffness degradation. Both, the general discussion and the analysis of selected exemplary problems indicate how the reliability of deteriorating stochastic dynamical systems can be assessed. L1 - http://www.czasopisma.pan.pl/Content/111696/PDF-MASTER/(54-1)125.pdf L2 - http://www.czasopisma.pan.pl/Content/111696 PY - 2006 IS - No 1 EP - 137 KW - stochastic dynamics KW - fatigue induced stiffness degradation KW - hysteretic systems KW - systems with varying/random structure A1 - Sobczyk, K. VL - vol. 54 DA - 2006 T1 - Stochastic dynamics and reliability of degrading systems SP - 125 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/111696 T2 - Bulletin of the Polish Academy of Sciences Technical Sciences ER -