于琪, 张少钦, 熊磊, 李云鹏. 分层加密网格的悬链面膜结构数值找形优化[J]. 南昌航空大学学报(自然科学版), 2021, 35(3): 25-30. DOI: 10.3969/j.issn.2096-8566.2021.03.004
引用本文: 于琪, 张少钦, 熊磊, 李云鹏. 分层加密网格的悬链面膜结构数值找形优化[J]. 南昌航空大学学报(自然科学版), 2021, 35(3): 25-30. DOI: 10.3969/j.issn.2096-8566.2021.03.004
Qi YU, Shao-qin ZHANG, Lei XIONG, Yun-peng LI. Numerical Shape Finding Optimization of Catenary Mask Structure With Layered and Dense Mesh[J]. Journal of nanchang hangkong university(Natural science edition), 2021, 35(3): 25-30. DOI: 10.3969/j.issn.2096-8566.2021.03.004
Citation: Qi YU, Shao-qin ZHANG, Lei XIONG, Yun-peng LI. Numerical Shape Finding Optimization of Catenary Mask Structure With Layered and Dense Mesh[J]. Journal of nanchang hangkong university(Natural science edition), 2021, 35(3): 25-30. DOI: 10.3969/j.issn.2096-8566.2021.03.004

分层加密网格的悬链面膜结构数值找形优化

Numerical Shape Finding Optimization of Catenary Mask Structure With Layered and Dense Mesh

  • 摘要: 找形是膜结构分析中的关键一环。以调整有限元网格为出发点,采用分层加密网格的方法,对悬链面膜结构进行找形结果的优化。首先求出正常网格划分情况下的膜结构数值解与解析解误差,而后重新建立结构模型,并按误差大小将新模型划分为不同区域,对误差较小区域采用较稀疏的网格,对误差较大区域采用较密集的网格,可以在保证单元总量基本不变的情况下实现结构找形的优化。算例结果表明,该方法具有良好的可行性和有效性,验证了相对密集的网格有助于提高结构分析的准确度。

     

    Abstract: Shape finding is a key step in membrane structure analysis. By taking the adjustment of the finite element mesh as the starting point, the method of layered mesh refinement adopted to optimize the form-finding results of the catenary mask structure. Firstly, the errors between numerical and analytical solutions of membrane structures under normal meshing are obtained, then the structural model was rebuilt, and the new model was divided into different areas according to the error size. The sparse grid was used for the area with small error, while the dense grid was used for the area with large error. Finally, the optimization of form-finding can be realized while keeping the total amount of grid basically unchanged. The results of numerical examples show that the method is feasible and effective, and it is verified that the relatively dense mesh is helpful to improve the accuracy of structural analysis.

     

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