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Volume 8
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Influence of Random Parametric Errors on Nonlinear Dynamic Behaviors of a Laminated Composite Cantilever Beam

by
Lin Sun
,
Xudong Li
and
Xiaopei Liu
*
School of Environmental and Safety Engineering, Liaoning Petrochemical University, Fushun 113001, China
*
Author to whom correspondence should be addressed.
Vibration 2025, 8(4), 57; https://doi.org/10.3390/vibration8040057
Submission received: 1 July 2025 / Revised: 19 September 2025 / Accepted: 23 September 2025 / Published: 29 September 2025
Versions Notes

Abstract

For the first time, the influence of random parametric errors (RPEs) on the nonlinear dynamic behaviors of a laminated composite cantilever beam (LCCB) is studied. A nonlinear dynamic model for the LCCB is first established based on Hamilton’s principle. In a numerical simulation, four different cases are presented to analyze the dynamic behavior of the studied LCCB. This study reveals that varying RPE levels cause significant changes in the dynamic response of the LCCB. The results indicate that RPE not only induces a transition from a periodic to a chaotic behavior but may also alter the maximum amplitude of chaotic vibrations, providing a critical theoretical basis for incorporating uncertainty factors in engineering design.
Keywords: random parametric errors; nonlinear dynamic behaviors; cantilever beams; laminated composite structures random parametric errors; nonlinear dynamic behaviors; cantilever beams; laminated composite structures

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MDPI and ACS Style

Sun, L.; Li, X.; Liu, X. Influence of Random Parametric Errors on Nonlinear Dynamic Behaviors of a Laminated Composite Cantilever Beam. Vibration 2025, 8, 57. https://doi.org/10.3390/vibration8040057

AMA Style

Sun L, Li X, Liu X. Influence of Random Parametric Errors on Nonlinear Dynamic Behaviors of a Laminated Composite Cantilever Beam. Vibration. 2025; 8(4):57. https://doi.org/10.3390/vibration8040057

Chicago/Turabian Style

Sun, Lin, Xudong Li, and Xiaopei Liu. 2025. "Influence of Random Parametric Errors on Nonlinear Dynamic Behaviors of a Laminated Composite Cantilever Beam" Vibration 8, no. 4: 57. https://doi.org/10.3390/vibration8040057

APA Style

Sun, L., Li, X., & Liu, X. (2025). Influence of Random Parametric Errors on Nonlinear Dynamic Behaviors of a Laminated Composite Cantilever Beam. Vibration, 8(4), 57. https://doi.org/10.3390/vibration8040057

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