Geometric parameterization modeling method for optimizing variable-complexity shape

Abstract

The invention discloses a geometric parameterization modeling method for optimizing a variable-complexity shape, which is a geometric parameterization modeling method for optimizing the shape of a complex body, aims to solve the problem that the prior geometric parameterization modeling method has difficult interdisciplinary coupling modeling and high running cost, and comprises the following steps: constructing a control mesh V<con> containing a body to be optimized in three-dimensional space, wherein the control mesh V<con> consists of triangular mesh units, the node of the control mesh is expressed as P[x], wherein x is a two-dimensional parameter of the V<con>; setting v(interior) as a point on the body to be optimized, and projecting all the nodes p[x] of the control mesh to a unit ball S(Vinterior) taking the vinterior as the ball center; and defining a function f[x] on the p[x], wherein the weighting w[x, v(interior)] function of the f[x] is designed as 1 / |p[x]-v(interior)| to integrate w[x, v(interior)]f[x] on a unit ball S(interior) so as to obtain a formula with an affine invariant property, and the formula is valued as f[x]=p[x] to obtain a geometric parameterization model of an optimized variable-complexity shape.

Description

technical field [0001] The invention relates to a geometric parametric model building method for complex body shape optimization, in particular to a geometric parametric modeling method that can improve the efficiency of complex body shape optimization. Background technique [0002] Four geometric parametric modeling methods are commonly used in multidisciplinary optimization: [0003] 1) The parametric technology based on the analysis method is very simple, has few design variables, and can produce a very smooth geometric shape, but the forms that can be used are limited, it is difficult to deal with complex shapes, and it is difficult to model interdisciplinary coupling. [0004] 2) Based on the parameterization of the semi-analytic method, polynomials are used to establish a model of small changes in shape. The polynomial coefficients can be used as a set of design variables, and the design variables are small, but only simple geometric shapes can be processed. [0005] ...

AI Technical Summary

Problems solved by technology

[0007] The purpose of the present invention is to solve the problem of difficult interdisciplinary coupling modeling or high operating cost in existing geometric parametric modeling methods, and to provide a geometric parametric modeling method with variable complexity shape optimization, that is, by constructing a simple The triangle control mesh of the shape v con Contains complex shapes to be optimized, and establishes a control grid v con A geometric parametric model with affine invariant properties between the vertices of the vertex and the points on the shape to be optimized

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