A design and optimization method of porous structure based on three-period minimal surface

A technology with extremely small curved surface and porous structure, which is applied in the fields of engineering lightweight design, computer-aided design, medical application design and manufacturing

Active Publication Date: 2019-01-04
DALIAN UNIV OF TECH
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Problems solved by technology

There have been many works based on this three-period minimal surface to design the internal structure of the model, but so far no complete and optimized solution has been proposed. Therefore, the periodic minimal surface

Method used

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  • A design and optimization method of porous structure based on three-period minimal surface
  • A design and optimization method of porous structure based on three-period minimal surface
  • A design and optimization method of porous structure based on three-period minimal surface

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Embodiment Construction

[0056] The implementation of the present invention can be divided into several main steps such as multi-scale porous shell structure design, establishment of optimization problem and its discretization, and optimization of design process:

[0057] (1) Multiscale porous shell-like structure

[0058] Here, with φ P (p) Curved surface as an example to illustrate the construction of multiscale porous shell-like structures. First create a multiscale porous surface:

[0059]

[0060] Among them, r is the midpoint of the three-dimensional space, c is a scalar (the value range is [-1, 1]), and t(r) controls the continuous change of the hole period (the value range is [0.5, 2]).

[0061] Furthermore, construct a multi-scale porous shell-like structure with thickness: use the closed area determined by two different isosurfaces with the same periodic distribution as the porous shell-like internal space, that is, define:

[0062]

[0063]

[0064] Then the porous shell-like st...

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Abstract

The invention relates to an efficient porous structure design and optimization method based on a three-period minimal surface, belonging to the computer-aided design field. Firstly, the functional representation of porous structure based on three-period minimal curved surface and the corresponding porous structure design method are presented. Then, under the given external constraints, the energyfunction model is constructed to model the porous structure design, and the corresponding discretization form is given. Finally, topology initialization and geometry optimization are carried out to obtain the optimal porous structure under given constraints. The invention greatly shortens the design and optimization period of the cavity structure, and can give the optimal result in theory. The porous structure designed by the invention has the characteristics of smoothness, full connectivity, controllability, quasi-self-support and the like, and is suitable for the common 3D printing manufacturing method, and the internal structure of the printing process does not need additional support, so that the printing time and the printing material can be saved.

Description

technical field [0001] The invention belongs to the field of computer-aided design, relates to a porous structure design and optimization method based on three-period minimal curved surfaces, and is applicable to the fields of engineering lightweight design, medical application design and manufacture, and the like. Background technique [0002] The design and optimization of porous structures is one of the key points and difficulties in the fields of engineering and manufacturing, especially the lightweight work that aims to reduce mass while ensuring mechanical stability has received a lot of attention. The existing porous structure design and optimization work is limited by the complexity of the model representation and the high cost of mechanical analysis, which is not good in applicability (functionality) and controllability. How to develop a lightweight porous structure with superior performance and controllability, and how to optimize the porous structure of the model ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23G06F2119/06
Inventor 王胜法胡江北李宝军罗钟铉
Owner DALIAN UNIV OF TECH
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