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Erschienen in:
2023 | OriginalPaper | Buchkapitel
Stochastic Vibration Responses of Laminated Composite Beams Based on a Quasi-3D Theory
verfasst von : Xuan-Bach Bui, Trung-Kien Nguyen, T. Truong-Phong Nguyen, Van-Trien Nguyen
Erschienen in: ICSCEA 2021
Verlag: Springer Nature Singapore
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Abstract
Stochastic vibration responses of laminated composite beams based on a quasi-3D shear deformation theory are proposed in this paper. The mechanical properties of constituent materials are assumed to be uncertain, thus the free vibration responses can be modeled as random variables. A very large number of simulations is performed for propagating the overall uncertainty in the material properties to vibration behaviours by Monte Carlo simulation method. The higher-order shear deformation beam theory with nonlinear variations of both axial and transverse displacements is used and a trigonometric-series solution is developed to solve characteristic equations of motions. Novel numerical results are obtained to investigate the effects of uncertain material properties on the natural frequencies of the laminated composite beams.