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
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[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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