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Gradient dot matrix isogeometric topology optimization method based on proxy model

A proxy model and topology optimization technology, applied in geometric CAD and other directions, can solve problems such as low computational efficiency, difficulty in ensuring the connectivity of various microstructures, and flexibility problems in limited two-dimensional examples, so as to expand the design space and avoid problems. Calculate the cost and improve the effect of dynamic performance

Pending Publication Date: 2022-03-29
HUAZHONG UNIV OF SCI & TECH
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Problems solved by technology

Although this method has a large design space and can optimize the porous structure more comprehensively, its calculation efficiency is low, and the connectivity between various microstructures is difficult to be guaranteed, and it is also limited to the flexibility of two-dimensional calculation examples. question

Method used

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  • Gradient dot matrix isogeometric topology optimization method based on proxy model
  • Gradient dot matrix isogeometric topology optimization method based on proxy model
  • Gradient dot matrix isogeometric topology optimization method based on proxy model

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Embodiment 1

[0093] For the porous structure to be optimized in this example, its design domain, load and boundary conditions are as follows Figure 5 As shown, it is a three-dimensional semi-circular beam structure, the radius of the outer circle is R=125mm, the radius of the inner circle is r=83.33mm, the width is W=50mm, and the Young’s modulus E of the material is set 0 =2750MPa, Poisson's ratio μ=0.38, material density ρ 0 =1.12g / cm 3 . The unit grid of isogeometric analysis is 60×9×11, and the control point grid is 65×11×13. The optimization target in this embodiment is set to the maximum fundamental frequency of the porous structure, and the allowable material volume ratio is 50%.

[0094] like figure 1 As shown, a kind of geometric topology optimization method such as gradient lattice based on surrogate model provided by the present invention comprises the following steps:

[0095] Step 1: Describe the topological configuration of the three-dimensional lattice through the leve...

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Abstract

The invention belongs to the related technical field of structure optimization, and discloses a gradient dot matrix isogeometric topology optimization method based on an agent model, which comprises the following steps of: (1) calculating a macroscopic equivalent attribute of each gradient dot matrix sample of a porous structure to be optimized through an isogeometric analysis-based homogenization method; (2) constructing an agent model, and predicting the macroscopic equivalent attribute of any relative density dot matrix of the porous structure to be optimized through the agent model; (3) dispersing the macroscopic design domain of the to-be-optimized porous structure into a plurality of units through an isogeometric method, and further constructing an isogeometric topological optimization model taking the maximum fundamental frequency as a target so as to optimize the density value of a gradient dot matrix in each unit in the macroscopic design domain; and (4) calculating to obtain a specific gradient lattice configuration in each unit, and filling the obtained gradient lattice configuration into the corresponding unit through an isogeometric mapping strategy to obtain the three-dimensional porous structure with the required geometric shape. According to the method, the calculation precision and the applicability are improved.

Description

technical field [0001] The invention belongs to the technical field related to structural optimization, and more specifically relates to a geometric topology optimization method based on a proxy model such as a gradient lattice. Background technique [0002] Lattice structures have been widely used in various fields due to their excellent mechanical properties beyond traditional structures, such as ultra-lightweight structures, energy-absorbing bumpers, and thermal insulation materials. At the same time, as a substitute for the traditional finite element analysis method, isogeometric analysis can realize the unified expression of CAD model and CAE model and improve the calculation accuracy. Therefore, the introduction of isogeometric analysis can optimize the porous structure filled with lattices while ensuring the unified expression of the mathematical models of CAD, CAE, and TO, so that it has excellent mechanical properties. [0003] For multiscale isogeometric topology ...

Claims

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Application Information

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IPC IPC(8): G06F30/10
CPCG06F30/10
Inventor 肖蜜黄明喆高亮刘喜亮周冕
Owner HUAZHONG UNIV OF SCI & TECH
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