This study presents a comprehensive analytical framework for optimizing nanocomposite-reinforced coal mining components designed for advanced rock mechanics applications. Emphasis is placed on the mechanical performance of structural panels enhanced with graphene oxide powder–based nanocomposite reinforcement (GOPCR). A doubly curved GOPCR panel subjected to distributed airflow pressure representative of harsh underground mine ventilation environments is modeled to capture the coupled effects of curvature, pressure loading, and nanoscale reinforcement on dynamic behavior. Hamilton's principle is employed to derive the governing equations of motion, incorporating an improved shear deformation theory with an appropriate shear-correction factor to accurately represent transverse shear effects associated with moderately thick, nanocomposite-enhanced structures. The resulting partial differential equations are solved analytically using a double trigonometric series expansion consistent with Navier's solution technique, enabling explicit closed-form expressions for modal characteristics. Parametric studies investigate the influence of GOP volume fraction, curvature ratio, and airflow pressure on frequency response. Results indicate that GOP reinforcement significantly enhances stiffness, yielding noticeable increases in natural frequencies compared to conventional polymer-reinforced panels. A focused comparison is conducted between the natural frequencies of the GOPCR doubly curved panel and those of a shallow spherical shell of analogous geometric and material configuration. The findings reveal that nanocomposite modification produces more pronounced frequency elevations in the shallow shell due to its higher inherent geometric rigidity. Overall, this research demonstrates the strong potential of GOPCR materials for improving the durability, stability, and vibration resistance of coal mining structural components, offering valuable insights for the design of next-generation rock mechanics support systems.
Key Words
doubly curved panels; graphene oxide nanocomposite; natural frequency analysis; rock mechanics applications; shear deformation theory
Address
Yunhang Du, Hongwei Li, Jiangjie Wu, Dingbin Ruan, Zidong Lu — School of Resources and Environmental Engineering, Yunnan Vocational Institute of Energy Technology, Qujing, Yunnan, 655000, China
Jianying Li — School of Mechanical and Electrical Engineering, Yunnan Vocational Institute of Energy Technology, Qujing, Yunnan, 655000, China
Kekuo Yuan — School of Civil Engineering, Xijing University, Xi'an, Shaanxi,710123, China
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