Topological optimization design method considering self-supporting constraints of additive manufacturing structure

Abstract

The invention discloses a topological optimization design method considering self-supporting constraints of an additive manufacturing structure, and belongs to the technical field of structural optimization design. Based on an SIMP method and a structure self-supporting mathematical model, the self-supporting characteristic of the structure is represented through a penalty function and serves as adisplay constraint condition, self-supporting constraint sensitivity filtering is adopted to promote evolution of the supporting structure, and the topological optimization design method consideringthe self-supporting constraint of the additive manufacturing structure is obtained. According to the method, structural self-supporting of a final topological optimization result is realized through progressive evolution of the supporting structure, and adding of the supporting structure through secondary design is avoided, so that the material cost is saved, and the design period is shortened. Besides, the method is completely suitable for continuum structure topology optimization, is high in flexibility and low in calculation cost, and can be implanted into an existing topology optimizationframework as an extended function.

Description

technical field [0001] The invention belongs to the related field of structural optimization design, and relates to a topology optimization design method considering the self-supporting constraints of additive manufacturing structures. Background technique [0002] Topology optimization is an advanced structural design method, which can find the optimal material layout under certain constraints by using numerical optimization techniques. Compared with traditional size optimization and shape optimization, the design space is greatly expanded, so that innovative and high-performance structural layouts can be designed. Since the concept of topology optimization was proposed in the late 1980s, topology optimization theory and methods have been widely concerned and developed rapidly. Typical topology optimization methods include variable density method, asymptotic method, homogenization method and so on. A variety of techniques have also been developed to eliminate numerical in...

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Problems solved by technology

The use of support structures not only increases the difficulty of design, but also increases the processing time and cost, and the process is difficult to remove in the later stage, which destroys the optimality of the structure

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