Dynamic Layout Optimization of Stiffeners in Plate Structures Based on Power Flow Response

Abstract

By minimizing power flow response, a method of moving asymptotes was adopted to optimize the power flow model by adding and deleting corresponding elements and changing the material setting position in the configuration. To improve the dynamic performance of the whole structure under the premise of slightly increasing the mass of the whole structure, the Rayleigh damping model under the combined action of the environment and the characteristics of the material is established, and the SIMP (Solid Isotropic Material With Penalization) model of the coupling structure is used to calculate the power flow response of the plate-reinforced coupling structure, so that the vibration response of the structure is more accurate.By solving the sensitivity of power flow response, it is concluded that the essence of stiffened layout optimization is to optimize the position of coupling beam on the substrate. Through numerical example analysis, the optimal configuration and power flow response results under different boundary conditions, different shapes and different loading frequencies are compared, which is of great significance for the optimization design of stiffened plate structure layout.