Fiber reinforced composite material structure optimization method based on Shepard interpolation

Abstract

The invention belongs to the field of composite material structure optimization methods, and discloses a fiber reinforced composite material structure optimization method based on Shepard interpolation. The method comprises the following steps of uniformly defining a series of discrete design points in a composite structure design domain, and building a continuous overall function to express a whole design domain fiber angle by using fiber angle values at the design points in a Shepard interpolation format; defining a fiber reinforced composite material structure optimal design problem, wherein a designing target is to minimize flexibility of the structure, and design constraints comprise a balance equation and upper and lower limits of [theta]i; dividing finite element grids to perform finite element analysis, and solving a displacement field; deducing sensitiveness of the flexibility of a target function with respect to a design variable, and computing the sensitiveness by using a finite element result; and updating the design variable by using an optimal algorithm until the target function is converged. According to the method provided by the invention, an optimization result fully utilizes material performance, manufacturing is facilitated, the design variable is reduced and optimization efficiency is relatively high.

Description

technical field [0001] The invention belongs to the field of structural optimization methods for composite materials, and more particularly relates to a method for optimizing the structure of fiber-reinforced composite materials based on Shepard interpolation. . Background technique [0002] Fiber-reinforced composite material is a representative advanced composite material, which is composed of low-density, high-strength fiber material and matrix material. Among them, the reinforcing materials are mainly various fibers, which play a major role in composite materials, providing strength and stiffness, and controlling their basic properties. The matrix material uses various metals, non-metals or resin bases, etc., to play a coordinating role. It supports and fixes fiber materials, transmits loads between fibers, protects fibers, prevents wear or corrosion, and improves certain properties of composite materials. Therefore, fiber-reinforced composite materials have much highe...

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Problems solved by technology

However, for complex problems, the analytical form of the feasible region of layer parameters is still an open problem

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