Structure morphogenesis of free-form surfaces based on B-spline

被引：0
|
作者：
Cui C. [1 ,2 ]
Cui G. [2 ,3 ]
Tu G. [2 ]
Chi X. [2 ]
机构：
[1] Key Lab of Structures Dynamic Behavior and Control of China Ministry of Education, Harbin Institute of Technology, Harbin
[2] School of Civil Engineering, Harbin Institute of Technology, Harbin
[3] China Construction Science & Technology Group Co., Ltd, Beijing
来源：
Jianzhu Jiegou Xuebao/Journal of Building Structures | 2017年 / 38卷 / 03期
关键词：
B-spline function; Free-form surface; Nonlinear method; Shape optimization; Structure morphology;
D O I：
10.14006/j.jzjgxb.2017.03.019
中图分类号：
学科分类号：
摘要：
Given the key points on B-spline and introducing the reference plane, the internal and external boundaries were determined using B-spline curved surface formed by the key points and parametric B-spline curve on reference plane, which was divided by Delaunay triangular. Then the initial structure with complicated boundary was obtained. The strain energy sensitivity to the key points was derived using the relationship between the strain energy and the key points. A new method was established to minimize the strain energy, which avoided the low computation efficiency if node was set as the variable and the optimized surface needed secondary processing for smoothing. Results show that the proposed method can solve the structure morphogenesis of the free-form surfaces with complex boundary in practical engineering. A variety of flexible and reasonable free-form surfaces can be created using the method. The resulting structure has higher stiffness and higher ultimate capacity. The generation of bending moment is avoided. The effect of initial imperfections on the mechanical property is decreased. © 2017, Editorial Office of Journal of Building Structures. All right reserved.
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页码：164 / 172
页数：8
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