Design and optimization method based on self-supporting ellipsoid cavity structure

Abstract

The invention discloses a design and optimization method based on a self-supporting ellipsoidal cavity structure, and belongs to the technical field of computer aided design, engineering design and manufacturing. The method comprises the following steps of: expressing a 3D model with an initialized self-supporting ellipsoid cavity by using a function; analyzing, modeling and optimizing an object structure by utilizing the continuity, the differentiability and the like of the function; using the self-supporting ellipsoid cavity for lightening the interior of the model, thereby avoiding the addition of extra supporting structures, and waste of materials; strictly controlling the intersection between self-supporting ellipsoids, so as to avoid the phenomenon that the self-supporting performance in the model is damaged due to intersection; and finally, carrying out geometric optimization on the modeling problem to obtain the internal shape of an optimized object under a given constraint condition. According to the method, the design and optimization period of the hole structure is greatly shortened, the internal cavity of the model is self-supported, meanwhile, the optimization result is better than that of a traditional method, more materials are saved, and the time consumed in the aspects of design and optimization is shorter.

Description

technical field [0001] The invention belongs to the technical fields of computer-aided design, engineering design and manufacturing, and relates to a design and optimization method based on a self-supporting ellipsoidal cavity structure, which is applicable to the design and optimization of general internal lightweight components. Background technique [0002] Internal hollowing is an effective lightweight method without changing the external shape of the 3D model. This method can greatly reduce the use of consumables and reduce manufacturing costs, and is widely used in fields such as environmental protection and material saving. However, during 3D printing, due to the influence of the viscosity of the printing material and the gravity of the printing model itself, if the overly long suspended structure or the surface of a certain area has a large overhang angle, it will not be possible to print layer by layer due to insufficient material viscosity. Usually, it can be solv...

AI Technical Summary

Problems solved by technology

However, in 3D printing, due to the influence of the viscosity of the printing material and the gravity of the printing model itself, if the overly long suspended structure or the surface of a certain area has a large drape angle, it will not be possible to print layer by layer due to insufficient material viscosity.

Usually, it can be solved by adding a special support structure. If such a suspended structure appears outside the model, the added special support structure can be removed by post-processing after the printing is completed, but the support structure added in the internal area of ​​​​the model is It cannot be removed or is difficult to remove, and more importantly, no matter whether the additional support structure can be removed, it will cause a waste of material, which is contrary to the goal of lightweight models, and using a self-supporting ellipsoid can It is a good solution to the problem of the model

[0003] At the same time, the existing methods have problems such as local self-intersection, non-smooth shape representation, and difficulty in accurately describing the internal complex structure.

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