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B spline-based lattice structure parametric implicit modeling and optimization method

A technology of lattice structure and optimization method, which is applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve the problems of lack of unified parameter representation, large number of design variables, etc., to achieve convenient seamless integration and ensure connectivity Effect

Active Publication Date: 2019-09-06
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0004] In order to overcome the problems of lack of unified parameter representation and large number of design variables in the prior art, the present invention proposes a B-spline-based implicit modeling and optimization method for lattice structure parameterization

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  • B spline-based lattice structure parametric implicit modeling and optimization method
  • B spline-based lattice structure parametric implicit modeling and optimization method
  • B spline-based lattice structure parametric implicit modeling and optimization method

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Embodiment Construction

[0057] The embodiments of the present invention are described in detail below, and the embodiments are exemplary and intended to explain the present invention, but should not be construed as a limitation of the present invention.

[0058] refer to Figure 5 to Figure 8 . The invention is used for implicit modeling and optimal design of parameterized lattice structures. Considering that the size of the structural design area is 90mm × 30mm, the left side of the area is fixed horizontally, and the lower right side is fixed vertically. The upper left of the area is subjected to a downward concentrated force F=1000N. The Young's modulus and Poisson's ratio of the solid material used in the lattice structure are E=20GPa, ν=0.3, respectively.

[0059] Step 1. For Figure 5 For the optimization problem shown, m=3 basic lattice patterns are selected, and each lattice pattern is composed of several hyperelliptic rods, including their respective widths d as design variables, that is...

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Abstract

The invention provides a B spline-based lattice structure parametric implicit modeling and optimization method. The method comprises the steps of firstly defining a plurality of basic dot matrix forms, then defining basic combination dot matrixes, then constructing a B spline interpolation curved surface covering a whole area, taking the basic combination dot matrixes as control points of the B spline curved surface, and enabling any point on a two-dimensional structure to correspond to a composite dot matrix formed by interpolation of the basic combination dot matrixes. In the dot matrix design process, the aim of designing the dot matrix of the whole structure area can be achieved by changing parameters of each control point dot matrix. According to the method, a known dot matrix style is directly adopted as a basic design element for modeling and optimization, and multiple types of dot matrix styles can be obtained by using fewer variables. And the lattice style freely changes alongwith different structure positions, the boundary of the optimization result is smooth, explicit parameter information is contained, and seamless integration with existing computer aided design software can be achieved.

Description

technical field [0001] The invention relates to a modeling and optimization method for lattice structures, in particular to a parameterized implicit modeling and optimization method for lattice structures based on B-splines. Background technique [0002] Exploring new materials and designing new structural styles is always a hot topic in the new century. The birth and continuous development of 3D printing technology have facilitated the design and manufacture of anisotropic materials and lattice structures. At the same time, experts and scholars in the field of shape and topology optimization pay more and more attention to the design of material properties and internal lattice structures while optimizing the overall shape of the structure. Lattice structure design is widely used in cutting-edge science and technology fields and engineering applications because of its high design freedom and fine structure. Therefore, how to design a practical and effective lattice structur...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 张卫红徐钊王创徐仕杰朱继宏谷小军
Owner NORTHWESTERN POLYTECHNICAL UNIV
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