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Advances in Nano Research Volume 17, Number 1, July 2024 , pages 9-18 DOI: https://doi.org/10.12989/anr.2024.17.1.009 |
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Development of the educational management model for dynamic instability analysis in nanocomposite sandwich beam |
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Wenxi Tang, Chunhui Zhou, Maryam Shokravi and X. Kelaxich
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| Abstract | ||
| This paper presents the development of an educational management model for analyzing the dynamic instability of nanocomposite sandwich beams. The model aims to provide a comprehensive framework for understanding the behavior of sandwich micro beams with foam cores, featuring top and bottom layers made of smart and porous functionally graded materials (FGM) nanocomposites. The bottom layer is influenced by an external electric field, and the entire beam is supported by a visco-Pasternak foundation, accounting for spring, shear, and damping constants. Using the Kelvin-Voigt theory to model structural damping and incorporating size effects based on strain gradient theory, the model employs the parabolic shear deformation beam theory (PSDBT) to derive motion equations through Hamilton's principle. The differential quadrature method (DQM) is applied to solve these equations, accurately identifying the improvement in student understanding (ISU) of the beams. The impact of various parameters, including FGM properties, external voltage, geometric constants, and structural damping, on the DIR is thoroughly examined. The educational model is validated by comparing its outcomes with existing studies, highlighting the increase in ISU with the application of negative external voltage to the smart layer. This model serves as a valuable educational tool for engineering students and researchers studying the dynamic stability of advanced nanocomposite structures. | ||
| Key Words | ||
| educational management model; dynamic instability; fgm; smart layer; numerical method | ||
| Address | ||
| Wenxi Tang: College of Biology and Environmental Sciences, Jishou University, Jishou 416000, Hunan, China Chunhui Zhou: Zhangjiajie Aviation Industry Vocational and Technical College, Sports and Art Department, Zhangjiajie 427000, Hunan, China Maryam Shokravi: Energy institute of higher education, Mehrab High School, Saveh, Iran X. Kelaxich: Department of Engineering, Warsaw Industrial, Poland | ||