Abstract

Engineers and designers working in the aerospace industry are always under pressure to enhance mechanical effectiveness and maximize structural performance. Due to their extreme stiffness and small weight, composite surfaces are often utilized in bending-stress-prone constructions like wings and fuselages. In order to increase the effectiveness of temporary double-curved surfaces under external stresses, we employed high-performance nanocomposites termed graphene nanoplates as reinforcing nanofillers inside polymers. Three-dimensional flexibilities using equilibrium conditions as well as analytical methods are used for developing and solving complex equations. For general modeling of the external mechanical loading, step, triangle, and half-sine loadings to model the current work in a general complex position. The novelties of the current work are considering three-dimensional flexibilities and external mechanical loading for extracting transient responses of doubly curved surfaces under external force. As well as this, with the aid of this analysis, free and forced vibrations of the current structure are shown in the transient response of the doubly curved surface using three-dimensional flexibilities, for the first time. This paper will use a data mining algorithm to optimize the performance of mathematical simulation and use Multi-Objective Grey Wolf with Lévy Flight and Mutation Operator to simulate the system. For this purpose, four thousand five hundred collocation points in the cube and one thousand five hundred boundary points on each boundary surface are produced at random and used as training samples. The results section shows that there is a reduction of up to 45% in displacement when the weight fraction percentage of graphene nanoplate increases from 1% to 4%. Another important outcome is that for all force intensities, the compressive stress induced in the surface is 30% higher in the x direction in comparison with the y direction. Finally, for related industries, it is shown that the curvature ratio decreases from infinity to three, curved surface experiences a reduction of 50% in the shear stress.

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