Level set method for optimal design of fiber curve laying variable stiffness structure

Abstract

The invention belongs to the related technical field of structural optimization design, and discloses a level set method for optimal design of a fiber curve laying variable stiffness structure, whichcomprises the following steps of: firstly, setting a series of design points and field center points in a structural design domain, constructing a vector field, and further solving an initial weight coefficient at each field center point; secondly, dividing a structural design domain into limited units, constructing a vector field according to the central points of the units and the central pointof the field, and describing the overall fiber angle layout by utilizing the tangential direction of a parameterized level set function; thirdly, establishing a unit stiffness matrix to solve an overall displacement vector and a target function value, and calculating the sensitivity of a target function about a design variable by taking a weight coefficient as the design variable and minimizing the flexibility as a design target; and secondly, repeatedly iterating after updating the design variable until an optimization termination condition is met. According to the method, the fibers can be parallel to each other, and the situation of fiber overlapping or gaps in the manufacturing process of the optimal structure is avoided.

Description

technical field [0001] The invention belongs to the technical field related to structural optimization design, and more specifically relates to a level set method for optimal design of fiber curve laying variable stiffness structure. Background technique [0002] Compared with traditional materials, composite materials are characterized by small specific gravity, high specific strength and specific modulus, and have superior comprehensive properties, so they are widely used in aerospace, automotive industry, machinery manufacturing, medical equipment and other fields. Among them, fiber-reinforced composite materials have good designability. When designing a structure composed of such composite materials, the stiffness and strength of the structure can be fully improved by optimizing the fiber laying direction, fiber volume content and topological configuration. The optimally designed structure will be manufactured by automatic fiber placement technology. According to the d...

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Problems solved by technology

However, these methods often ignore the manufacturability requirements of automatic fiber placement technology for this type of structural design. The key point is that the fiber placement paths must be parallel, otherwise the fiber bundles in the manufactured structure will overlap or have gaps. Such defects seriously affect the structural performance

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