Adaptive subdomain integration method for representing complex localized geometry in ANCF
doi: 10.1007/s10409-021-09032-x
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摘要: 论文将有限胞元法与绝对节点坐标法相结合, 提出高效稳定的含有复杂局部结构特征的ANCF单元分析方法; 并基于三角划分原理设计了自适应子域积分算法, 避免了过度的子域细分, 大大减少了计算成本. 论文用数值实例验证了所提出方法在大变形、大转动的动力学问题分析中的有效性.Abstract: In this work, we propose incorporating the finite cell method (FCM) into the absolute nodal coordinate formulation (ANCF) to improve the efficiency and robustness of ANCF elements in simulating structures with complex local features. In addition, an adaptive subdomain integration method based on a triangulation technique is devised to avoid excessive subdivisions, largely reducing the computational cost. Numerical examples demonstrate the effectiveness of the proposed method in large deformation, large rotation and dynamics simulation.
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3. Basic principle of FCM: a physical domain, b fictitious domain, c extended domain, d structured mesh.
8. Numbering of subdividing cell: a cells to be subdivided, b cells after subdivision.
13. Partition and distribution of integration points of the plate under different subdomain size constraints: a size unconstrained, b size of subdomains less than 0.5, c size less than 0.25.
14. Geometric model of the plate with circular through-hole: a the geometric model of the plate, b the definition of hole.
15. Adaptive subdomain refining of the plate with circular through-hole: a adaptive subdomain partitioning, b integration point distribution.
19. Comparison of common cell subdivision and adaptive cell subdivision: a degree freedom and integration point, b running time of simulation.
21. The plate with groove: a geometric model (top surface), b geometric model (bottom surface), c groove defined in the straight configuration.
22. Adaptively subdomain subdivision of the plate with groove: a adaptive subdomain partitioning, b integration point distribution.
25. Contact force of plate with groove: a t = 0.178 s, b t = 0.195 s, c t=0.852 s, d t = 1.956 s.
26. Comparison of common cell subdivision and adaptive cell subdivision: a degree freedom and integration point, b running time of simulation.
Table 1. Material parameters of the model
Linear elastic material value Density (kg/m3) 2000 Elastic modulus (MPa) 2 Shear modulus (MPa) 1 
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Table 2. Material parameters of soft plate
Linear elastic material value Elastic modulus (MPa) 0.5 Shear modulus (MPa) 0.25
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Table 3. The material parameters of plate for contact analysis
Linear elastic material Value Density (kg/m3) 7000 Elastic modulus (MPa) 1.2 Shear modulus (MPa) 0.6
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Table 4. The parameters of contact model
Parameters Value Ground stiffness (N/m) 9000 Ground damping coefficient (N·s/m) 20.0 Friction coefficient μ 0.75
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