Application to a 2D System
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.
4.1 Finite Element Model of a 2D Dynamic System
The example system is chosen from Ref. [116, p. 258]. As illustrated in
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