有限单元网格变形技术在岩柱截面优化设计中的应用研究

Research on application of finite element mesh deformation technology in optimal design of rock column section

通过建立一种有限单元网格变形的方法,调节网格节点位置,从而改变岩柱的截面形状。实现岩柱截面变形后,网格节点和单元体数量保持不变,保证网格的连通性,避免因重新划分网格导致局部的位移和应力值发生突变,提高数值模拟计算结果的精度。以浙江省龙游石窟牛场古地下洞室1号岩柱为例,对岩柱截面优化设计开展数值模拟分析。结果表明:通过网格变形的方法改变岩柱截面形状,计算得到岩柱顶板区域的位移变化趋势与原岩柱相似,而重新划分网格的岩柱,在顶板区域的位移值出现了较大的跳动;岩柱顶板区域的应力变化与位移变化具有相同的规律。该网格变形方法为岩土工程结构构件优化设计的数值模拟分析提供了一种新的建模思路。

By establishing a method of deforming the finite element mesh,the node positions of the mesh are adjusted to change the cross-sectional shape of the rock column.The number of nodes and elements in the mesh remains unchanged after the deformation of the rock column section,ensuring the connectivity of the mesh,avoiding sudden changes in local displacement and stress values caused by re-meshing,and improving the accuracy of numerical simulation results.Taking the No.1 rock column in the ancient underground cave of Niuchang in Longyou Grottoes,Zhejiang Province as an example,numerical simulation analysis was carried out for the optimized design of the rock column section.The results show that by changing the cross-sectional shape of the rock column through mesh deformation,the displacement change trend in the roof area of the rock column is similar to that of the original rock column,while the rock column re-meshed has a large jump in displacement value in the roof area;the stress change law in the roof area of the rock column is the same as that of the displacement change.The mesh deformation method provides a new modeling approach for numerical simulation analysis of optimized design of geotechnical engineering structural components.