A fast analytic method for CAD model based on boundary representation in fixed grid

被引：0
|
作者：
Li X. [1 ]
Zhang W. [1 ]
Chen L. [1 ]
机构：
[1] Laboratory of Engineering Simulation & Aerospace Computing (ESAC), Northwestern Polytechnical University, Xi'an
来源：
Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica | 2019年 / 40卷 / 06期
基金：
中国国家自然科学基金;
关键词：
CAD model; Fixed grid; Octree technique; Ray intersection method; Weighted B-spline finite cell method;
D O I：
10.7527/S1000-6893.2018.22693
中图分类号：
学科分类号：
摘要：
The fixed grid technique avoids the complicated meshing process along the boundary of the structure, showing great advantages in the analysis of complex geometric structure. Modeling accuracy and analysis accuracy are two major problems in structural analysis using the fixed grid. To enhance the modeling accuracy in the fixed grid, a fast transformation method from the CAD model to the analytic model is proposed. Firstly, the CAD model is described by the boundary representation, and then the ray intersection method is developed to distinguish the elements in the fixed grid. The boundary elements are subdivided by the quatree/octree technique. Finally, the weighted B-spline finite cell method is used to guarantee the analysis accuracy of the CAD model. In this paper, a new design flow from the structural CAD model to simulation analysis in the fixed grid is established. Numerical examples demonstrate the validity and efficiency of the proposed method. © 2019, Press of Chinese Journal of Aeronautics. All right reserved.
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  • [1] Garcia-Ruiz M.J., Steven G.P., Fixed grid finite elements in elasticity problems, Engineering Computations, 16, 2, pp. 145-164, (1999)
  • [2] Garcia-Ruiz M.J., Fixed grid finite element analysis in structural design and optimization, pp. 4-9, (1999)
  • [3] Cai S.Y., Zhang W.H., Zhu J.H., Et al., Stress constrained shape and topology optimization with fixed mesh: A B-spline finite cell method combined with level set function, Computer Methods in Applied Mechanics and Engineering, 278, pp. 361-387, (2014)
  • [4] Cai S.Y., Zhang W.H., Stress constrained topology optimization with free-form design domains, Computer Methods in Applied Mechanics Engineering, 289, pp. 267-290, (2015)
  • [5] Zhao L.Y., Study on the new method in shape and topology optimization with fixed grid, pp. 17-20, (2017)
  • [6] Luo Y.W., Stress analysis and shape optimization of 3D structure with fixed mesh, pp. 24-28, (2015)
  • [7] Wenisch P., Wenisch O., Fast octree-based voxelization of 3D boundary representation-objects, (2014)
  • [8] Duster A., Parvizian J., Yang Z., Et al., The finite cell method for three-dimensional problems of solid mechanics, Computer Methods in Applied Mechanics and Engineering, 197, pp. 3768-3782, (2008)
  • [9] Rank E., Ruess M., Kollmannsberger S., Et al., Geometric modeling, isogeometric analysis and the finite cell method, Computer Methods in Applied Mechanics and Engineering, 249, pp. 104-115, (2012)
  • [10] Sun J.G., Yang C.G., Computer Graphics (New Edition), (1995)
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