Vibration Analysis of a Composite Panel Using Stochastic Finite Element Method: A Random Matrix Approach

Authors

1 faculty of civil engineering - university of tabriz

2 Faculty of Civil Engineering - University of Tabriz

3 Faculty of civil engineering - university of tabriz

10.22034/ceej.2025.65648.2414

Abstract

Modeling dynamic systems generally requires the use of high-accuracy numerical modeling methods to minimize computational errors. However, if a dynamic system exhibits high sensitivity to uncertainties in numerical modeling and practical measurements, newer and more accurate modeling approaches are needed to achieve precise results. One of the fundamental challenges arising from uncertainty in engineering problems is the lack of explicit parameters to accurately describe system behavior for detailed analysis. The impact of uncertainty in modeling becomes more pronounced in structures made of composite materials. In the present study, an appropriate method for evaluating uncertainty parameters to achieve accurate responses of dynamic systems is investigated. For this purpose, a laboratory model of a composite panel was prepared, and its dynamic behavior was also numerically modeled. The concept of random matrices was employed to account for the uncertainty parameters in the dynamic behavior of the model. To assess the performance of the proposed method, the numerical model results were compared with the experimental results. The findings of this research demonstrate that the Wishart random matrix method effectively evaluates and tracks the desired uncertainty parameters in the dynamic response of the system.

Keywords