Progressive structure topological optimization method based on isogeometric analysis

A technology of isogeometric analysis and topology optimization, applied in the field of incremental structure topology optimization, it can solve the problems of unclear boundaries and the inability to obtain smooth boundaries in the bidirectional incremental optimization method, avoiding repeated operations, ensuring high efficiency, and clear physical meaning. Effect

Pending Publication Date: 2022-01-04
HUAZHONG UNIV OF SCI & TECH
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[0005] Aiming at the above defects or improvement needs of the prior art, the present invention provides a progressive structure optimization method based on isogeometric analysis. The method applies the extended finite element calculation rule, and the structural structure with smooth and clear boundaries under a fixed background grid The mechanical resp

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  • Progressive structure topological optimization method based on isogeometric analysis
  • Progressive structure topological optimization method based on isogeometric analysis
  • Progressive structure topological optimization method based on isogeometric analysis

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[0059] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not constitute a conflict with each other.

[0060] see figure 1 and figure 2 , the incremental structural topology optimization method based on isogeometric analysis provided by the present invention mainly includes the following steps:

[0061] In step 1, a progressive structural optimization model of the structure to be optimized is constructed based on isogeometric analysis, and the design domain of the structure is divided into iso...

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Abstract

The invention belongs to the related technical field of structure optimization design, and discloses a progressive structure topology optimization method based on isogeometric analysis, which comprises the following steps of: (1) setting a design variable as a density value of any point in a design domain, constructing an optimization model, and dividing the design domain to obtain an isogeometric background grid; (2) respectively solving the element stiffness of each type of element by adopting a calculation rule of an extended finite element so as to obtain an overall displacement vector of the structure; (3) calculating to obtain a unit sensitivity value in combination with the set unit artificial density and the overall displacement vector; (4) fitting an NURBS sensitivity field by taking the unit sensitivity value as the unit center point sensitivity and as a sample point; (5) selecting a density threshold to intercept a current NURBS sensitivity field so as to update a design variable; and (6) judging whether the target function converges or not, and if yes, ending topological optimization; otherwise, turning to the step (2). The method is stable, effective and good in applicability.

Description

technical field [0001] The invention belongs to the related technical field of structure optimization design, and more specifically relates to a progressive structure topology optimization method based on isogeometric analysis. Background technique [0002] The isogeometric analysis (Isogeometric analysis) method is based on the isoparametric element idea of ​​the finite element analysis method, and the basis function of the non-uniform rational B-spline (NURBS) used to express the geometric model in the computer-aided geometric design (CAGD) is used as the shape function. Realized the seamless combination of computer-aided design (CAD) and computer-aided engineering (CAE). Because the NURBS basis function can construct any high-order continuous approximation function, it overcomes the disadvantages of traditional finite element analysis methods that usually only have C0 continuity, so that the isogeometric analysis method has the advantage of being convenient for solving hi...

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Application Information

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IPC IPC(8): G06F30/23G06F30/18
CPCG06F30/23G06F30/18
Inventor 夏兆辉邱文科王启富
Owner HUAZHONG UNIV OF SCI & TECH
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