A Waterfall Multi-level Optimization Method for Design of Curved Fiber Composite Structures Based on Shepard Interpolation

Abstract

The invention belongs to the field of composite structure design optimization methods, and discloses a Shepard-interpolation-based curve fiber composite structure design waterfall type multi-level optimization method. The method comprises the following steps of building parameterization layers; for each layer of the layering structure, evenly laying out a series of discrete design points inside the structure as design variables, and on the basis of fiber angle values of the discrete points, utilizing Shepard interpolation for constructing a continuous global function for expressing the whole design domain fiber angle; utilizing finite element analysis for building the relation between a rigid matrix and the design variables; updating the design variables to achieve the purpose of the minimum structure flexibility; obtaining the fiber angle of the thick layer with the minimum structure flexibility, and then working out the design initial value of the adjacent thin layer; executing the steps repeatedly, and obtaining the optimal fiber angle space continuous change layout of the curve fiber composite structure. According to the optimization method, the design variables are reduced, the optimization efficiency is high, and the calculation cost of the optimization process is lowered.

Description

technical field [0001] The invention belongs to the field of optimization methods for composite structure design, and more specifically relates to a waterfall-type multi-level optimization method for designing curved fiber composite structures based on Shepard interpolation. Background technique [0002] The curved fiber composite structure is an advanced composite material structure with variable stiffness, which has the advantages of high specific strength and high specific stiffness. Compared with the linear fiber composite structure, it has better mechanical properties. This structure can change the material properties by changing the angle of fiber laying, so it has strong designability. With the development of automatic fiber placement technology, it is widely used in aviation, aerospace and other fields. [0003] Usually, the design optimization of curved fiber composite structures is mainly to optimize the fiber laying angle. Among the many components of the optim...

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Problems solved by technology

In the optimization algorithm, the steepest descent method with conjugate mapping has been applied, and the effect is good, but the algorithm still has room for further development. Therefore, the combination of the parameterized format based on Shepard interpolation and the optimization algorithm and the calculation cost of the optimization algorithm needs to be further resolved

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