WITHDRAWN: Optimization design of vibration characterizations for functionally graded porous metal sandwich plate structure

Abstract

In this study, numerical analysis is developed to optimize natural frequencies of sandwich plate functionally graded plate with porosity demonstrated by formulating several MOGA methods (Multi-Objective Genetic Algorithm) design optimization parameters. First, we proposed a new analytical model and analyzed the resultant effects for different parameters. The second results have been validated by comparison to results from detailed finite element (FE) models. Finally, a design of experiments (DOE) based response surface optimization method combined with ANSYS software 2020 R2 is used to maximize fundamental frequencies while minimizing the mass and cost of the FG sandwich plate. Constraints of the maximum natural frequency are imposed. ANSYS DesignXplorer Add-in for Excel in combination with dxrom software used to approximate solutions. A 3D model of the FG system was constructed and meshed with 8-node SOLID186 elements using the default grid. The input parameters are the face sheet thickness, core height, porosity ratio, and power-law index. By considering 100 design points, the first six natural frequencies of a functionally graded sandwich plate are obtained and analyzed. A numerical analysis is performed on the sandwich plate's examples with various boundary conditions, power-law index, FG core thickness, porosity parameter, and slenderness ratios. The calculated results are compared with those solved analytically to show the current approach's accuracy and effectiveness, and the optimized natural frequencies of sandwich plates are also investigated. A predicted error for each parameter can also be recorded. An accepted agreement can be observed between analytical and numerical results with a maximum percentage discrepancy of 5%.