A Design Optimization Method for Composite Structures with Holes Based on Geodesic Distance

Abstract

The invention belongs to the field of composite structure design and optimization, and particularly discloses a porous composite structure design and optimization method based on geodesic line distances. The method includes the following steps of evenly defining discrete design points in an entity of a porous composite structure, setting the initial values of fiber angles of the design points, conducting mesh dividing on the structure, determining coordinates of all unit central points, calculating geodesic line distances between all the design points and all the unit central points, obtainingthe fiber angles of all the unit central points on the basis of the geodesic line distances, establishing a rigidity matrix, calculating a whole displacement vector, obtaining sensitivity according to the whole displacement vector, and updating the fiber angle theta i until the optimization end conditions are met. By calculating the geodesic line distances between the unit central points and thedesign points, on the basis of the geodesic line distances, the continuous variable-angle fiber layout of the porous composite structure is obtained and improved, and the structure performance is improved.

Description

technical field [0001] The invention belongs to the field of structural design optimization of composite materials, and more specifically relates to a method for structural design optimization of composite materials with holes based on geodesic distance. Background technique [0002] Compared with the conventional constant stiffness composite material structure, the curved fiber composite structure has extremely high designability. In addition to conventional structural shape design, the design of composite structures also includes the design of fiber layout. For example, by designing the laying angle of the fibers, the structure has the characteristics of variable stiffness, thereby obtaining better structural performance. With the development of automatic fiber placement and additive manufacturing technology, curved fiber composite structures are gradually used in aerospace, automotive, high-end equipment and other fields. [0003] For the design of fiber angle layout in...

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Problems solved by technology

However, the Shepard interpolation involved in the above method is based on Euclidean distance, which can only solve the design of composite material structures without holes, but does not consider the design of composite material structures with holes

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