Shape optimization method for I-beam two-dimensional model

Abstract

The invention relates to a shape optimization method for an I-beam two-dimensional model, and the method comprises the steps: firstly, employing an NURBS spline to give a two-dimensional body parameterization model of an I-beam, and enabling parameters to comprise an NURBS coordinate point, a weight and the like; giving a shape optimization target equation and constraint conditions, deriving a sensitivity equation with control points and weights as design variables and achieving shape optimization design of the I-beam two-dimensional model by optimizing the two parameters. According to the method, the geometric model is constructed by adopting the NURBS spline, and the shape of the geometric model can be expressed more accurately. Seamless combination of the CAD system model and the CAE system model is realized by adopting an isogeometric analysis method. The advantages and characteristics of the spline model are integrated, the geometric analysis method is effectively applied to structural boundary shape optimization, the analysis process and the optimization process are integrated, the optimization accuracy and the calculation efficiency are improved, and a smooth model boundaryshape can be expressed more accurately.

Description

technical field [0001] The invention relates to a two-dimensional product model shape optimization design, in particular to a shape optimization algorithm based on a product model feature framework. Background technique [0002] Different from traditional finite element analysis and optimization, isogeometric analysis can directly use the spline information in its geometric model for optimization analysis. In the traditional finite element analysis and optimization, the geometric model is designed in the CAD model and then meshed and analyzed in the CAE analysis model. This process is one-way and irreversible, but the model optimization can be two-way. It is this feature that prevents finite element analysis optimization from being jointly optimized by CAD and CAE integration, and the process is cumbersome and time-consuming. In the design optimization of isogeometric analysis, the design construction, analysis and optimization of the model can be carried out based on the s...

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Problems solved by technology

[0003] In order to solve the problems caused by the above-mentioned finite element optimization, the present invention provides a shape optimization method for the two-dimensional model of the I-beam, which takes the control point and the weight as the design variables at the same time, and uses the NURBS spline modeling method to obtain the two-dimensional shape of the I-beam. Dimensional body parametric model, parameters include NURBS coordinates and weights, etc.; given the shape optimization objective equation and constraints, deduce the sensitivity equation with control points and weights as design variables, and realize the two-dimensional I-beam model by optimizing these two parameters The shape optimization design of

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