基于SABRE软件的大规模RBE3单元快速求解方法及程序开发

张长兴; 王立凯; 常亮; 聂小华

doi:10.21656/1000-0887.450181

基于SABRE软件的大规模RBE3单元快速求解方法及程序开发

doi: 10.21656/1000-0887.450181

中国飞机强度研究所强度与结构完整性全国重点实验室，西安 710065

基金项目:

国家重点研发计划 2021YFB3302301

陕西省重点研发计划 2022ZDLGY02-08

详细信息

通讯作者:
张长兴(1993—)，男，工程师，硕士(通讯作者. E-mail: zhangzx035@avic.com)

中图分类号: V215.2
计量
- 文章访问数: 76
- HTML全文浏览量: 20
- PDF下载量: 16
- 被引次数: 0
出版历程
- 收稿日期: 2024-06-20
- 修回日期: 2024-12-26
- 刊出日期: 2025-04-01

A Fast Solution Method and Program Development for Large-Scale RBE 3 Elements Based on the SABRE Software

National Key Laboratory of Strength and Structural Integrity, Aircraft Strength Research Institute of China, Xi'an 710065, P.R.China

摘要

摘要: 随着复杂结构仿真建模的精细化程度越来越高，应用到零部件连接和载荷分配的RBE3单元数量急剧增加，由此引起了自主结构分析软件的数值求解困难. 该文首先建立了RBE3单元主、从节点之间的位移约束关系，剖析了线性消去理论引起求解困难的原因. 然后，采用增广Lagrange理论将位移约束关系引入到有限元问题的泛函中，并利用泛函的变分推导出了RBE3单元的刚度矩阵显式表达形式，从而将约束处理问题转化为单元求解问题. 最后，在上述理论基础上，结合自主结构分析软件SABRE进行了相关功能模块的设计与开发，并通过工程算例验证. 结果表明，该文改进后的SABRE软件在求解含大规模RBE3单元的分析模型时求解精度与NASTRAN基本一致，求解效率提升明显.
- 有限元法 /
- 增广Lagrange理论 /
- RBE3单元快速求解方法 /
- SABRE软件
Abstract: With the increasing sophistication of complex structural simulation modeling, the number of RBE3 elements applied to component connections and load distribution increases dramatically, which brings difficulties in the numerical solution with autonomous structural analysis software. First the displacement constraint relationship between the master and slave nodes of the RBE3 element was established, the reasons for the linear elimination theory bringing the difficulty in solving the problem was analyzed, and then the augmented Lagrange theory was used to introduce the displacement constraint relationship into the functional for the finite element problem, and derive the explicit expression of the stiffness matrix for the RBE3 element by means of the variation of the functional. Thereby, the constraint processing problem was converted into an element solution problem. Finally, based on the above theory, the design and development of relevant functional modules were combined with autonomous structural analysis software SABRE. The engineering example verification shows that, the developed program is basically consistent with NASTRAN in solving the analysis model containing large-scale RBE3 elements, with significantly improved solution efficiency.
- finite element method /
- augmented Lagrange theory /
- RBE3 element fast solution method /
- SABRE software

HTML全文

图 1 单个主从节点间的位移关系示意图

Figure 1. Schematic diagram of the displacement relationship between a single master and slave node pair

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图 2 SABRE软件架构图

Figure 2. The SABRE software architecture diagram

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图 3 基于增广Lagrange理论的RBE3单元处理流程

Figure 3. The RBE3 element processing flow chart based on the augmented Lagrange theory

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图 4 数据卡片预处理流程

Figure 4. The data card preprocessing flow chart

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图 5 节点处理流程

Figure 5. The node preprocessing flow chart

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图 6 单元处理流程

Figure 6. The element preprocessing flow chart

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图 7 单元刚度矩阵生成流程

Figure 7. The element stiffness matrix generation flow chart

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图 8 总体刚度矩阵装配流程

Figure 8. The total stiffness matrix assembly flow chart

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图 9 分析模型示意图

Figure 9. The analysis model diagram

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图 10 SABRE软件位移结果云图

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 10. The displacement contour of the SABRE software

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图 11 NASTRAN软件位移结果云图

Figure 11. The displacement contour of the NASTRAN software

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