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

Authors

Department of Water Resources Engineering, University of Tabriz, Iran

10.22034/ceej.2025.65648.2414

Abstract

Components and structures utilized in marine environments are subjected to high and persistent stresses resulting from wind, waves, and tides. Moreover, throughout their service life, these structures encounter harsh environmental conditions, particularly in splash zones. These conditions arise from the inherent variability and unpredictability of the marine environment, introducing a significant degree of uncertainty in assessments related to durability and performance. In recent decades, the use of composite materials in marine structures has gained significant attention, as they serve as suitable replacements for various components and systems, including ship hulls, propeller blades, propulsion system blades, as well as wind and tidal turbine blades, offering substantial benefits. Due to the presence of uncertainties, deterministic analyses cannot adequately reflect the performance of structures. However, if dynamic systems exhibit significant variability in parameters and mathematical descriptions due to parametric uncertainties and model uncertainties, reliance on this approach does not necessarily enhance confidence in simulation-based predictions. Unlike parametric uncertainty, model uncertainty presents substantial challenges because there are no explicit parameters available to describe its behavior in advance. In the present study, a set of mass-spring oscillators is randomly attached to a base system consisting of a simply supported monolithic plate, thereby introducing model uncertainty. While parametric uncertainty of the model can be addressed using the stochastic finite element method, the model uncertainty arises from the random attachment of mass-spring oscillators for each sample results in a different type of dynamic system. By examining the feasibility of employing a wavelet random matrix to represent a collection of dynamic systems that have emerged due to model perturbations, experiments conducted on a vibrational plate with randomly attached mass-spring oscillators demonstrate that the wavelet random matrix model can provide a satisfactory representation of model uncertainty in linear dynamic systems within the mid to high-frequency ranges.

Keywords

References

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Journal of Civil and Environmental Engineering
Volume 55, Issue 120 - Serial Number 120
Autumn 2025
November 2025
Pages 33-43

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