Techno Press
Techno Press

Advances in Nano Research
  Volume 19, Number 6, December 2025 , pages 531-543
DOI: https://doi.org/10.12989/anr.2025.19.6.531
 


Nonlinear vibration analysis and predictive modeling of multi-curved panels reinforced with nanocomposites for museum exhibition
Pengyu Cai, Kuan Zhang, Younghwan Pan

 
Abstract
    The present paper deals with the nonlinear vibration analysis in detail and makes a predictive model for the multi-curved panels that are reinforced with graphene oxide powder (GOP) nanocomposites. These panels are to be used in thermal environments subjected museum exhibitions. In the study, the Halpin-Tsai homogenization method is adopted to effectively model the materials of composites. The role of the mixture in the reinforcement mechanism is also being explored. The flexural behavior of the panels is taken care of by the parabolic shear deformation theory (PSDT), and the Von-Karman nonlinearity is applied to cover the conditions of large deformation effects. Relations for the panel are made that clearly take into account the temperature's effect on the material's mechanical response, thus the structural integrity is preserved in the varying thermal conditions of the museum, where typically the environments are hot and humid. The analytical framework is based on Hamilton's principle, and the governing equations are solved via the differential quadrature method (DQM) along with Chebyshev polynomial expansion; thus, the computational accuracy and efficiency are improved. The numerical simulation illustrates how the vibration characteristics are influenced by the GOP nanocomposite reinforcement, along with stiffness and damping properties being increased. The multi-curved panels, which consist of nanocomposite reinforcement of graphene oxide (GOP), can be a solution to the problem of vibration-induced damage in museum exhibitions as well, and they come with superior performance of endurance to the temperature fluctuations. Thus, the results disclose the way to the design of advanced materials for cultural heritage preservation, not only by bringing in mechanical robustness but ensuring environmental stability, too.
 
Key Words
    nonlinear vibration analysis; predictive modeling; multi-curved panels; nanocomposites; thermal environment; graphene oxide powders
 
Address
Pengyu Cai, Kuan Zhang, Younghwan Pan: Department of Smart Experience Design, Graduate School of Technology Design, Kookmin University, Seoul, 02707, Republic of Korea
 

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