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基于Feon-Abaqus的杆梁混合结构的有限元分析与应用

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由于不同类型单元的结合处其结点自由度不一致,在杆梁混合结构的内力分析过程中整体刚度矩阵的集成存在效率较低、存储空间较大等问题.Feon框架采用的集成方式在运算速度和存储经济性等方面仍存在改进空间,且Feon目前仅能处理线性情形.Abaqus虽能处理各种非线性问题,但缺少针对混合结构的参数化建模解决方法.将Feon与Abaqus进行结合,可以为杆梁混合结构的线性及非线性有限元分析提供更为有效的方法.该文首先改进Feon中整体刚度矩阵的集成方法,新方法显著减小了计算中的过渡矩阵和最终刚度矩阵规模,提高了处理速度和存储经济性.其次基于对Feon框架的改进,提供了在Python平台上直接对杆梁混合结构进行有限元分析的方法,将处理范围由线性拓展到非线性,并编写了相应的Feon-Abaqus转换程序,提供了 Abaqus处理混合结构参数化建模解决方法.最后通过算例验证了改进方法在确保计算精度的同时能提高计算速度,验证了基于Feon-Abaqus在杆梁混合结构线性和非线性分析中的有效性.
Finite element analysis and application of bar and beam composite structures based on Feon-Abaqus
Due to the different degrees of freedom of nodes at the joints of different types of elements for the bar and beam composite structure,there exist such problems as low efficiency and large storage space in as-sembling the global stiffness matrix.The assembling method adopted by Feon still can be improved on the computing speed and the storage.Moreover,Feon can only handle linear cases currently.Abaqus can handle various nonlinear problems,but it lacks of parametric modeling solutions for the composite structural systems.Combining Feon with Abaqus can provide a more effective method for the linear and nonlinear finite element analysis of the bar and beam composite structure.In this paper,we first improve the assembling method of the global stiffness matrix in Feon.The resulting new method can obviously reduce the size of the transition matrix and the final matrix,and can improve the processing speed and the storage economical efficiency.Secondly,based on the improved Feon framework,a method for directly performing finite element analysis of bar and beam composite structures on the Python platform is provided,which ex-tends the processing category from linear to nonlinear.The corresponding Feon-Abaqus conversion codes are then provided for the parametric modeling solution for Abaqus in processing bar and beam composite struc-tures.Finally,some numerical examples have verified that the resulting improved method can not only im-prove the calculation speed,but also ensure the calculation accuracy.The effectiveness of Feon-Abaqus based linear and nonlinear analysis of bar and beam composite structures has also been verified.

composite structurefinite element analysisstiffness matriximplementation on Feon-Abaqusnumerical simulation

李邦彦、肖映雄

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湘潭大学土木工程学院,湖南湘潭 411105

湘潭大学机械工程与力学学院,湖南湘潭 411105

混合结构 有限元分析 刚度矩阵 Feon-Abaqus实现 数值模拟

国家自然科学基金湖南省教育厅项目

1097219119A502

2024

湘潭大学学报(自然科学版)
湘潭大学

湘潭大学学报(自然科学版)

CSTPCD
影响因子:0.403
ISSN:2096-644X
年,卷(期):2024.46(3)