Shape optimization algorithm for three-dimensional product model

A product model and optimization algorithm technology, which is applied in computing, 3D modeling, image data processing, etc., can solve the problems of irregular optimization boundaries, time-consuming and laborious grid division, and reduced optimization efficiency, so as to reduce design variables and improve computational efficiency. Enhanced, interactive and convenient effects

Active Publication Date: 2017-02-08
UNIV OF SHANGHAI FOR SCI & TECH
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  • Application Information

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Problems solved by technology

However, in this method, due to the independent changes of each node, the optimization boundary is often irregular, too many design variables lead to a decrease in optimization efficiency, and continuous data conversion between the design model and the analysis model is required during optimization iterations. Mesh division is time-consuming and laborious

Method used

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  • Shape optimization algorithm for three-dimensional product model
  • Shape optimization algorithm for three-dimensional product model
  • Shape optimization algorithm for three-dimensional product model

Examples

Experimental program
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Effect test

experiment example 1

[0077] Experimental example 1: Shape optimization of a cantilever beam with ridges

[0078] Its shape optimization algorithm includes the following steps:

[0079] Step 1, establish the characteristic frame model of the cantilever beam with ridges, such as image 3 (a) and image 3 As shown in (b), the feature size of the feature frame model includes the width W of the ridge, the height H of the ridge, the overall thickness t, and the length L of the ridge, such as image 3 As shown in (c), the load of the model is that the end face of Z=0 is subjected to a uniform tensile force F=-50N along the negative direction of the y-axis, and the boundary condition is that the end face is completely fixed;

[0080] Step 2, get the coordinate matrix of cantilever ridge parameterized control points according to equations (18)-(21):

[0081] x 1 ′ = x 1 + W - ...

experiment example 2

[0100] Experimental Example 2: Shape Optimization Algorithm of Dredging Reamer Arm

[0101] Step 1, establish the characteristic frame model of the dredging reamer arm, such as Figure 5 As shown, the characteristic dimensions of the characteristic frame model include the axial width bW and axial length bL of the bottom surface of the reamer arm, the axial width tW and axial length tL of the upper top surface, the height H of the reamer arm, and the load and boundary conditions are : The upper bottom surface and the lower bottom surface of the reamer arm are fixedly constrained, and a concentrated force is applied at the specified control point.

[0102] Step 2, when the feature size type is length, the mapping function is derived. Let there be any two points in the space (x 0 ,y 0 ,z 0 ) and (x 1 ,y 1 ,z 1 ), along the X-axis, Y-axis, Z-axis direction feature size by W 0 , L 0 ,H 0 become W, L, H, and change (x 0 ,y 0 ,z 0 ) as a fixed point, set the moving point...

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Abstract

The invention provides a shape optimization algorithm for a three-dimensional product model, and the method comprises the following steps: firstly constructing a product model which is a feature frame model comprising point, line and surface features through employing a reverse solving method or a size measurement method; adding the constraint between the feature elements, and constructing a parameterized feature frame; employing a multi-drive mode, maintaining the constraint between the features, and achieving the modification of the feature frame model; employing a volume parameterization theory for the feature frame to obtain a volume parameterization model which can be used for geometrical analysis; enabling the feature size of the feature frame to serve as the product size or a shape optimization parameter, deducing the physical performances of a product and the sensitivity matrix of the design parameters, and optimizing the parameters, so as to achieve the optimized design of a product model.

Description

technical field [0001] The invention belongs to the field of three-dimensional product model shape optimization design, and mainly relates to a shape optimization algorithm based on a product model feature frame. Background technique [0002] In traditional shape optimization, nodes of finite elements are usually taken as design variables. However, in this method, due to the independent changes of each node, the optimization boundary is often irregular, too many design variables lead to a decrease in optimization efficiency, and continuous data conversion between the design model and the analysis model is required during optimization iterations. Meshing is time-consuming and labor-intensive. These shortcomings are caused by the different mathematical languages ​​used in the design model and the analysis model, that is, the spline basis function is used in the geometric modeling, and the Lagrangian basis function or Hermitian polynomial is used in the analysis model. Conte...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T17/00G06T19/00
CPCG06T17/00G06T19/00
Inventor 陈龙张高朋
Owner UNIV OF SHANGHAI FOR SCI & TECH
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