Optimization Research On Bending Characteristics Of Corrugated Sheet And Concave-convex Sheet

The main research object of this thesis is two orthotropic anisotropic plates,corrugated and concave-convex plates.The objective of the study is to further derive the method for calculating the stiffness properties of the above plates based on the existing research background and to optimize the flexural stiffness characteristics of the above two thin plates.The focus of this paper is on the above-mentioned plates with curved trajectories in the form of projections,specifically: corrugated plates with arbitrary curvature,spherically deficient concave-convex plates,as well as hyperbolic corrugated plates and hyperbolic concave-convex plates.Because these plates have a specific raised structure,they have a bending resistance that is less than that of a flat plate of equal mass.Moreover,such plates are widely needed in engineering practice to save material cost and meet the actual working conditions.Therefore,this paper is of great significance in guiding the lightweighting and bending resistance of single-layer laminates in practical applications.For the above specific types of plates,the theoretical derivation of the bending stiffness is based on the orthotropic anisotropic plate theory,the moment of inertia method of material mechanics and the combination of the stiffness equivalence method,and the classical Navier deflection theory to solve the deflection in specific cases.Then,simulations are performed by finite element software to verify the applicability of this method to the above-mentioned plates by comparing the theoretical solution with the actual simulation solution.A convenient solution method is obtained that can be applied in engineering practice.In addition,based on the finite element simulation,the influence of some parameters of the single cell model on the flexural stiffness performance of the above-mentioned type of plate is analyzed.In addition,the light weight optimization analysis is carried out for corrugated plates with arbitrary inferior curvature and concave-convex plates with arbitrary curvature and spherical deformation.The end,based on the best lightweight curved corrugated plate and spherical deficient concave-convex plate derived from the analysis,they are compared with hyperbolic corrugated plate and hyperbolic concave-convex plate of equal mass and different eccentricity,respectively.Based on the finite element simulation,the comparative analysis of the bending resistance under the same single cell model size and constraints is carried out.The best light-weight models for the bending performance of the corrugated and concave-convex plates are derived under the panel thickness conditions in accordance with the thin plate theory.In turn,the best lightweight flexural performance models for corrugated and concave-convex panels with different panel thicknesses are suggested.