Fatigue damage investigation and optimization of a viscoelastically damped system with uncertainties

Abstract

The need for larger and more efficient structures has led to the development of numerical models to approach real-world complex behaviors. Normally, engineering systems consider deterministic parameters, while in real-world situations, they are subjected to parametric uncertainties, resulting in differences between the calculated responses. This work is devoted to performing numerical and computational studies of fatigue damage analyses of viscoelastically damped systems in the frequency domain subjected to parametric uncertainties. Here, the discretization of the random field is performed using the finite element method combined with the Karhunen-Loève expansion and the fatigue damage index is estimated by applying the so-called Sines' global criterion. Optimization techniques were applied in order to obtain the optimal design of surface viscoelastic treatments in terms of fatigue. Therefore, the main contribution intended for the present study is to show the importance of considering optimal-robust parameters to estimate the failure probability of engineering structures with constrained viscoelastic layers. After presenting the underlying foundations, the numerical results are presented and the main features of the proposed methodology are highlighted.

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

“…Reliability analysis for layered systems with randomly described uncertain parameters was presented in [358], and for systems with dampers in [359]. The paper [360], focused on the study of dynamic damage in layered systems with uncertain parameters.…”

Robust project of resonant shunt circuit for passive vibration control of composite structures

“…They are modeled as stochastic random fields and discretized by using the KL. The stochastic domain has been performed herein according to the developments of Ghanem and Spanos [16], de Lima, Rade and Bouhaddi [14], Koroishi et al [11], Silva et al [15] and Gonçalves et al [13], with a correlation length equal to the length of the FE and ten terms in the KL expansion, nkl = 10 . Also, for the purposes of this study, the stochastic electromechanical system was solved using the Latin Hypercube (LHC) sampling [17], where the number of samples, N s , to be used in the stochastic simulations have been obtained by performing a convergence analysis which was based on the computation of the following root-mean-square deviation (RMSD):…”

“…geometrical parameters, aiming at evaluating the degree of influence of variability on the performance predictions [10]. Such uncertainty propagation analysis becomes especially interesting for application involving shunt circuits, since the performance of such passive control strategy is strongly dependent on a certain number of parameters, among which, resistors and inductors are considered to be the most important and sensitive to small variations [11][12][13].…”

Analytical and Numerical Investigation of Fatigue Life in Rectangular Plates with Opposite Semicircular Edge Single Notches

“…Real-world relevance: Such notches are common in engineering structures, like aircraft parts and bridges. Thus, studying their fatigue behaviour provides insights into real-world scenarios [2].…”