基于B样条的自由曲面结构形态创构方法研究

发布时间：2018-08-05 16:30

【摘要】：在B样条曲面上设定关键点并引入参考平面,利用所设定的关键点形成B样条曲面与参考平面上参数化B样条曲线确定的内外边界,采用Delaunay网格划分技术进行三角划分,生成能够适应复杂边界的自由曲面初始结构。利用关键点坐标的变化与自由曲面应变能的关系,推导了应变能对关键点的敏感度,建立了结构应变能最小化的自由曲面结构形态创构的方法,解决了以节点为优化变量计算效率低且优化后曲面不光滑需要二次加工的问题。研究结果表明,所提出的方法可以解决在实际工程应用中具有复杂边界的自由曲面形态创构问题,可以创构出自由、灵活的多种合理自由曲面结构,由此获得的曲面结构具有刚度大、承载力高,同时最大限度地抑制了弯矩的产生,且具有初始缺陷对结构受力性能影响减小的特点。
[Abstract]:The key points are set up on the B-spline surface and the reference plane is introduced. The internal and external boundaries determined by the B-spline surface and the parameterized B-spline curve on the reference plane are formed by using the key points set up, and the triangular partition is carried out by using the Delaunay mesh division technique. The initial structure of free form surface which can adapt to complex boundary is generated. The sensitivity of the strain energy to the key points is derived by using the relationship between the change of the key point coordinates and the strain energy of the free form surface, and the method of creating the structure shape of the free form surface which minimizes the structural strain energy is established. The problem that the node is used as the optimization variable is low efficiency and the surface is not smooth after optimization need to be processed twice. The results show that the proposed method can solve the problem of free form creation with complex boundary in practical engineering, and can create a variety of free, flexible and reasonable free surface structures. The curved surface structure obtained from this method has the characteristics of high stiffness, high bearing capacity, maximum restraint of bending moment, and the reduction of the influence of initial defects on the mechanical performance of the structure.
【作者单位】：哈尔滨工业大学结构工程灾变与控制教育部重点实验室;哈尔滨工业大学土木工程学院;中建科技集团有限公司;
【基金】：国家自然科学基金面上项目(50978075)
【分类号】：TU33

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