In Chapter 3, the theoretical fundamentals of the proposed combined approach were introduced. Developed as a reliability analysis solution for dynamic systems, the approach integrates a novel modal model-based perturbation technique and one of the probabilistic methods. In-depth case studies have been conducted to apply and validate the approach on two dynamic systems with added masses. The first one is a two-dimensional frame structure. However, theoretical and technical problems were found during this study and solutions were sought and applied, which are presented in this chapter.
The example system is chosen from Ref. [116, p. 258]. As illustrated in