Stability Optimization and Vibration Control of Auxetic-Core Composite Plates to Enhance Maritime Logistics Economy

This study introduces an advanced analytical framework for optimizing the stability and controlling the vibrations of composite plates with auxetic honeycomb cores, with the aim of improving maritime logistics efficiency. The framework addresses the combined effects of photonic, electric, thermal, and mechanical loading on the structural behavior of the plates. Utilizing a generalized first-order shear deformation theory coupled with an artificial spring model, the method simulates elastic edge restraints to accurately model boundary conditions. Displacement fields are derived using orthogonal polynomial expansions through the Gram–Schmidt process, ensuring a robust and boundary-condition-independent approach. The governing equations are formulated using the Rayleigh–Ritz method, which enhances numerical accuracy and computational efficiency. Extensive convergence studies and benchmark tests validate the reliability of the proposed model. Parametric analyses demonstrate that the detrimental effects of coupled photonic and electric fields on stability and natural frequencies can be significantly reduced by optimizing the auxetic core geometry and design parameters. These findings provide crucial insights for the development of lightweight, multifunctional composite structures, particularly for maritime applications where stability, vibration control, and adaptability are critical to improving logistics performance. The study offers practical strategies for enhancing the resilience and dynamic performance of composite materials under complex environmental conditions.