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Complex lattice structural body parametric modeling method

A lattice structure, lattice structure technology, applied in image data processing, instruments, calculations, etc., to achieve the effect of good grid quality

Pending Publication Date: 2022-07-01
UNIV OF SHANGHAI FOR SCI & TECH
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Problems solved by technology

[0005] In view of the deficiencies in the prior art, the purpose of the present invention is to provide a parametric modeling method for complex lattice structures, which can better solve the problem of parametric modeling of complex lattice structures, and make the model directly applicable In isogeometric analysis, it provides good model support for the integration of modeling and simulation of complex lattice structures

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Embodiment 1

[0048] The first step: NURBS volume parametric model expression

[0049] A one-to-one mapping relationship is established by creating a three-variable tensor volume parameterized model T and a regular closed volume (cube) P, such as figure 1 shown.

[0050] Its mapping function, that is, the expression of the three-dimensional space NURBS volume parameterized model is as follows:

[0051]

[0052] here {P i,j,k } is the body control point, {ω i,j,k } is the weight factor, N i,p (u),N j,q (v),N k,r (w) are the NURBS basis functions defined on the aperiodic (and non-uniform) node vector spaces U, V, and W with p, q, and r degrees, respectively.

[0053] Equation (2) is the expression of the NURBS basis functions in the U direction, and the definitions of the basis functions in the V and W directions are similar.

[0054]

[0055] For the solid model of complex lattice structure, it is not only difficult to express the physical domain model through the expression of ...

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Abstract

The invention discloses a parameterization modeling method for a complex lattice structure body. The parameterization modeling method comprises the steps that firstly, a framework model of a lattice structure is given; dividing the node into three node types, namely a branch node, a connection node and a tail end node; and the branch nodes are comprehensively constructed by using an inner hexahedron group generation mechanism based on skeleton perception and an outer hexahedron group mapping mechanism based on transition curved surface sampling fitting interpolation. And connecting nodes are constructed by using a lofting body model of a multi-section group. And a tail end node is constructed by using a stretching body or swept body model of a single section group. And the node model is matched with the skeleton topological information, and a lattice structural body parameterized model is obtained through splicing and periodic array. According to the method, the parametric modeling problem of the complex lattice structure body is well solved, and the model can be directly applied to isogeometric analysis, so that a good model support is provided for realizing modeling and simulation integration of the complex lattice structure.

Description

technical field [0001] The invention relates to the technical field of additive manufacturing and modeling simulation, in particular to a parametric modeling method for complex lattice structures. Background technique [0002] In recent years, with the rapid popularization and development of additive manufacturing technology in manufacturing companies, mass production of complex parts such as lattice structures and fluid channels has become possible. The lattice structure is an ordered ultra-light porous structure constructed by simulating the lattice configuration of microscopic crystals. It has the characteristics of low bulk density, large specific surface area and high specific mechanical properties. It is widely used in aerospace, petrochemical, machinery manufacturing and other fields. However, the imperfection of the existing modeling methods and analysis tools for lattice structures hinders the application process of lattice structures in various fields. Specific m...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T17/30
CPCG06T17/30
Inventor 陈龙杨向前燕楠
Owner UNIV OF SHANGHAI FOR SCI & TECH
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