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Efficient porous structure representation and optimization method

A technology of porous structures and optimization methods, applied in computer-aided design, biological and engineering design, and medical fields, which can solve problems that cannot be directly applied.

Active Publication Date: 2020-10-30
DALIAN UNIV OF TECH
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Problems solved by technology

[0003] However, existing optimization techniques for such porous structures are either heuristic or experimental
There is no mature technology to use the period of the three-period minimal surface for hole optimization. Period-based hole optimization is not suitable for traditional topology optimization methods (such as SIMP method, level set method, MMC method, etc.). direct application

Method used

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  • Efficient porous structure representation and optimization method
  • Efficient porous structure representation and optimization method
  • Efficient porous structure representation and optimization method

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Embodiment Construction

[0061] The implementation of the present invention can be specifically divided into the functional representation of the multi-scale porous shell structure, the establishment of an optimization model and its discretization, and the optimization and solution of these main steps:

[0062] (1) Multiscale porous shell-like structure

[0063] Next, take the P-surface as an example to illustrate how to use functions to represent multi-scale porous shell-like structures. First create a multiscale porous surface:

[0064]

[0065] Among them, t(r)>0 is a continuous periodic distribution function, which controls the continuous change of pore size.

[0066] 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:

[0067] φ s (r)=min(φ 1 (r),φ 2 (r))

[0068]

[0069]

[0070]

[0071] φ s The...

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Abstract

The invention discloses an efficient porous structure representation and optimization method, and belongs to the field of computer aided design. The method comprises the following steps: firstly, giving a representation method of a multi-scale porous structure described by a function, and designing an optimization framework based on the function representation; secondly, establishing an optimization problem model by taking structural energy minimization as a target and taking volume and gradient as constraints; and finally, performing topological optimization and then performing geometric optimization, and performing optimization design on the topology and the thickness of the porous structure to obtain an optimization model filled with the porous structure. According to the method, the porous structure is completely expressed, analyzed, optimized and stored functionally, so the calculation complexity is greatly reduced, the design and optimization period is greatly shortened, and an optimization model with high structural hardness and rigidity under volume constraint can be provided. The structure is suitable for a common 3D printing manufacturing technology, the internal structure in the printing process does not need extra support, and printing time and printing materials can be saved.

Description

technical field [0001] The invention relates to the field of computer-aided design, and the main content is a representation and optimization method of a porous structure based on a three-period minimal curved surface, which can be applied to the fields of medicine, biology, engineering design and the like. Background technique [0002] Manufacturing and producing structures with lightweight and strong mechanical properties has become an important topic in many fields, including industry and biology, with great challenges and development opportunities. Among them, porous structures, which are widely used, have been extensively studied, and the proposed hollow structures, frame structures, and honeycomb structures have all made certain contributions to lightweight work. However, these traditional porous structures have more or less corresponding problems, such as honeycomb structure and frame structure will produce stress concentration, and in the optimization design process ...

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Application Information

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IPC IPC(8): G06F30/20G06F119/18G06F111/04
CPCG06F30/20G06F2119/18G06F2111/04G06F30/10G06F2111/06G06F30/23G06F2113/10Y02P90/02G06F2111/10
Inventor 王胜法胡江北李宝军李凤岐罗钟铉
Owner DALIAN UNIV OF TECH
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