A Fast Solution Method and Program Development for Large-Scale RBE3 Elements Based on the SABRE Software

ZHANG Changxing; WANG Likai; CHANG Liang; NIE Xiaohua

doi:10.21656/1000-0887.450181

Volume 46 Issue 4

Apr. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(4): 483-494

ZHANG Changxing, WANG Likai, CHANG Liang, NIE Xiaohua. A Fast Solution Method and Program Development for Large-Scale RBE3 Elements Based on the SABRE Software[J]. Applied Mathematics and Mechanics, 2025, 46(4): 483-494. doi: 10.21656/1000-0887.450181

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A Fast Solution Method and Program Development for Large-Scale RBE3 Elements Based on the SABRE Software

doi: 10.21656/1000-0887.450181

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

Received Date: 2024-06-20
Rev Recd Date: 2024-12-26

Available Online: 2025-04-30

Abstract

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

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References(20)

References

[2]IMRAN M, SHABBIR AHMED R M, HANEEF M. FE analysis for landing gear of test air craft[J].Materials Today:Proceedings,2015,2(4/5): 2170-2178.

MSC. Software Corporation. MSC NASTRAN 2012 linear static analysis user’s guide[Z]. 2011: 327-336.

[3]TEIXEIRA NETO A, DE SILVA BUSSAMRA F L, DE CASTRO E SILVA H A. A new metamodel for reinforced panels under compressive loads and its application to the fuselage conception[J].Latin American Journal of Solids and Structures,2014,11(2): 223-244.

[4]吕毅宁, 吕振华. 焊点连接模型对结构刚度的有限元模拟精度的影响分析[J]. 工程力学, 2009,26(10): 171-176.(L Yining, L Zhenhua. Effects of spot weld connecting models on the prediction accuracy of structural stiffness by finite element analysis[J].Engineering Mechanics,2009,26(10): 171-176. (in Chinese))

[5]赵晓斌, 王伟飞, 彭亚康, 等. 舱内液体模拟方法对船体振动分析的影响对比[J]. 舰船科学技术, 2020,42(11): 25-29.(ZHAO Xiaobin, WANG Weifei, PENG Yakang, et al. Investigation of internal liquid simulation methods for vibration analysis of ships[J].Ship Science and Technology,2020,42(11): 25-29. (in Chinese))

[6]张琪, 刘莉. 导弹固有特性的有限元分析[J]. 弹箭与制导学报, 2008,28(2): 6-7.(ZHANG Qi, LIU Li. Finite element analysis of missile inherent properties[J].Journal of Projectiles,Rockets,Missiles and Guidance,2008,28(2): 6-7. (in Chinese))

[7]于翰林, 毛洪海, 杨延功. 某纯电动商用车车身骨架强度仿真分析[J]. 汽车实用技术, 2023,48(21): 77-80.（YU Hanlin, MAO Honghai, YANG Yangong. Simulation analysis for body frame strength of a pure electric commercial vehicle[J].Automobile Applied Technology,2023,48(21): 77-80. (in Chinese)）

[8]张凡, 贾明晓, 刘祖军, 等. 不同桥梁结构多尺度建模方法比选[J]. 建材技术与应用, 2021(1): 7-12.(ZHANG Fan, JIA Mingxiao, LIU Zujun, et al. Comparison and selection of multi-scale modeling methods for different bridge structures[J].Research & Application of Building Materials,2021(1): 7-12. (in Chinese))

[9]FIACCO A V, MCCORMICK G P.Nonlinear Programming: Sequential Unconstrained Minimization Techniques[M]. New York: Wiley, 1968.

[10]宋菲, 吴泽忠. 外罚函数法与广义Lagrange乘子法的比较研究[J]. 成都信息工程大学学报, 2017,32(6): 667-674.(SONG Fei, WU Zezhong. A comparative study of external penalty function method and generalized Lagrangian multiplier method[J].Journal of Chengdu University of Information Technology,2017,32(6): 667-674. (in Chinese))

[11]HESTENES M R. Multiplier and gradient methods[J].Journal of Optimization Theory and Applications,1969,4(5): 303-320.

[12]POWELL M J D. A method for nonlinear constraints in minimization problems[M]//Optimization. New York: Academic Press, 1969: 283-298.

[13]NOOR M A, NOOR K I. Sensitivity analysis of some quasi variational inequalities[J].Journal of Advanced Mathematical Studies,2013,6(1): 43-45.

[14]BEREMLIJSKI P, HASLINGER J, KOCVARA M, et al. Shape optimization in contact problems with Coulomb friction[J].SIAM Journal on Optimization,2002,13(2): 561-587.

[15]王彬文, 段世慧, 聂小华, 等. 航空结构分析CAE软件发展现状与未来挑战[J]. 航空学报, 2022,43(6): 527272.(WANG Binwen, DUAN Shihui, NIE Xiaohua, et al. Development situation and future challenges of CAE software used in aeronautical structural analysis[J].Acta Aeronautica et Astronautica Sinica,2022,43(6): 527272. (in Chinese))

[16]王立凯, 艾森, 郭瑜超, 等. 基于增量-迭代算法的SABRE系统非线性分析流程设计[J]. 航空计算技术, 2022,52(5): 9-13.（WANG Likai，AI Sen，GUO Yuchao，et al. Design of nonlinear analysis process for SABRE system based on incremental-iterative algorithm[J].Aeronautical Computing Technique,2022,52(5): 9-13. (in Chinese)）

[17]陈飙松, 陆旭泽, 张盛. 基于SiPESC平台的弹塑性分析的软件框架[J]. 计算力学学报, 2016,33(4): 599-604.(CHEN Biaosong, LU Xuze, ZHANG Sheng. Software framework for elasto-plastic analysis based on SiPESC platform[J].Chinese Journal of Computational Mechanics,2016,33(4): 599-604. (in Chinese))

[18]PENG L, FENG Z, JOLI P, et al. LiToTac: an interactive-interface software for finite element analysis of multiple contact dynamics[J].Computer Modeling in Engineering & Sciences,2019,118(1): 111-137.

[19]彭梦瑶, 顾水涛, 周洋靖, 等. 基于LiToSim平台的疲劳寿命评估LtsFatigue软件开发及应用[J]. 应用数学和力学, 2022,43(9): 976-986. (PENG Mengyao, GU Shuitao, ZHOU Yangjing, et al. Development and application of fatigue life evaluation software LtsFatigue based on LiToSim[J].Applied Mathematics and Mechanics,2022,43(9): 976-986. (in Chinese))

[20]孙侠生, 段世慧, 陈焕星. 坚持自主创新实现航空CAE软件的产业化发展[J]. 计算机辅助工程, 2010,19(1): 1-6.(SUN Xiasheng, DUAN Shihui, CHEN Huanxing. Keeping independent innovation, implementing industrialization development of aviation CAE software[J].Computer Aided Engineering,2010,19(1): 1-6. (in Chinese))

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