Transactions of Materials and Heat Treatment

Title：Lightweight optimization design on upper crossbeam structure of 2000 kN double-action three-beam and four-column forming hydraulic testing machine for high-strength medium plate

Authors： Guan Bobin 1 2 Cui Xuexi3 Zhang Yisheng1 Wu Xiangdong2 Wan Min2

Unit： 1.Science and Technology on Space Physics Laboratory China Academy of Launch Vehicle Technology 2.School of Mechanical Engineering and Automation Beihang University 3.Beijing Institute of Aerospace Testing Technology

KeyWords： forming testing machine uncertain optimization interval uncertainty probabilistic uncertainty reliability optimization design structure optimization

ClassificationCode：TH122

year,vol(issue):pagenumber：2024,49(7):138-148

Abstract：

To solve the inconvenience problem of transportation and installation caused by heavy structure of forming testing machine, a structural lightweight design method considering probability and non-probability uncertainties was proposed, and the uncertainties were characterized by using probability and non-probability models. Then, three models for optimizing the design of upper crossbeam with certainty, probability reliability and interval uncertainty were constructed. Furthermore, the finite element model of upper crossbeam assembly was established, and its strength and stiffness response surface models were constructed. Finally, based on the sensitivity factor analysis of reliability, the uncertain factors were selected, and three structural optimization design models were completed and compared in detail. The results show that the reliability of the structure obtained by deterministic optimization is low, and the structure obtained by probabilistic reliability optimization is easily affected by assumed probability distribution parameters. Excellent structures can be obtained by interval uncertainty optimization and its reliability is stricthy guaranteed, which is suitable for the lightweight design of engineering structures. Ultimately, the proposed method results in a weight reduction of 10.29% for the crossbeam on the forming testing machine.

Funds：

国家自然科学基金资助项目 (51875027)

关铂镔（1996-），男，博士，工程师 E-mail：2725385673@qq.com 通信作者：吴向东（1970-），男，博士，副教授 E-mail：wuxiangdongbuaa@163.com

Reference：

[1]李天箭, 丁晓红, 李郝林. 机床结构轻量化设计研究进展 [J]. 机械工程学报, 2020, 56(21): 186-198.

Li T J, Ding X H, Li H L. Research progress on lightweight design of machine tool structure[J]. Journal of Mechanical engineering, 2020, 56(21):186-198.

[2]Guan B B, Wan M, Wu X D, et al. Lightweight design process considering assembly connection and non-probabilistic uncertainty with its application to machine structural design[J]. Engineering Optimization, 2023, 55: 1060-1081.

[3]张明. 结构可靠度分析:方法与程序[M]. 北京: 科学出版社, 2009.

Zhang M. Structural Reliability Analysis: Methods and Procedures[M]. Beijing: Science Press, 2009.

[4]Tu J, Choi K K, Park Y H. A new study on reliability-based design optimization[J]. Journal of Mechanical Design, 1999, 121(4): 557-564.

[5]Du X P, Chen W. Sequential optimization and reliability assessment method for efficient probabilistic design[J]. Journal of Mechanical Design, 2004, 126(2): 225-233.

[6]Liang J H, Mourelatos Z P, Tu J. A single-loop method for reliability-based design optimisation [J]. International Journal of Product Development, 2008, 5(1)：76-92.

[7]Li J P, Bai L, Gao W, et al. Reliability-based design optimization for the lattice boom of crawler crane [J]. Structures, 2021, 29:1111-1118.

[8]Ben-Haim Y, Elishakoff I. Convex Models of Uncertainty in Applied Mechanics[M]. Amsterdam: Elsevier Science Publisher, 1990.

[9]邱志平. 非概率集合理论凸方法及其应用[M]. 北京: 国防工业出版社, 2005.

Qiu Z P. Convex Method Based on Non-probabilistic Set-theory and its Application[M]. Beijing: National Defence Industrial Press, 2005.

[10]郭书祥, 吕震宙, 冯元生. 基于区间分析的结构非概率可靠性模型[J]. 计算力学学报, 2001, 18(1): 56-60.

Guo S X, Lyu Z Z, Feng Y S. Non-probabilistic model of structural reliability based on interval analysis[J]. Chinese Journal of Computational Mechanics, 2001, 18(1): 56-60.

[11]王睿星, 王晓军, 王磊, 等. 几种结构非概率可靠性模型的比较研究[J]. 应用数学和力学, 2013, 34(8): 871-880.

Wang R X, Wang X J, Wang L, et al. Comparative study on several structural non-probabilistic reliability models[J]. Applied Mathematical and Mechanics, 2013, 34(8): 871-880.

[12]Jiang C, Han X, Li D. A new interval comparison relation and application in interval number programming for uncertain problems[J]. Computers Materials & Continua, 2012, 27(3): 275-303.

[13]姜潮，韩旭，谢慧超. 区间不确定性优化设计理论与方法 [M]. 2版.北京: 科学出版社, 2020.

Jiang C, Han X, Xie H C. Interval Uncertain Optimization Design: Theory and Methods [M]. 2nd Edition. Beijing: Science Press, 2020.

[14]姜潮. 基于区间的不确定性优化理论与算法[D]. 长沙：湖南大学，2008.

Jiang C. Theories and Algorithms of Uncertain Optimiztaion Based on Interval[D]. Changsha: Hunan University, 2008.

[15]Cheng J, Liu Z, Wu Z, et al. Direct optimization of uncertain structures based on degree of interval constraint violation[J]. Computers & Structures, 2016,164: 83-94.

[16]Guan B B, Wan M, Wu X D, et al. Non-probabilistic optimization model of engineering structures with dependent interval variables[J]. Applied Mathematical Modelling, 2022,102: 285-304.

[17]Luo Z X, Wang X J, Shi Q H, et al. UBC-constrained non-probabilistic reliability-based optimization of structures with uncertain-but-bounded parameters [J]. Structural and Multidisciplinary Optimization, 2021, 63(1): 311-326.

[18]Wang M R, Fan J P, Hu J. A non-probabilistic reliability-based design optimization method for structures based on interval models [J]. Fatigue & Fracture of Engineering Materials and Structures, 2018, 41(2): 425-439.

[19]俞新陆. 液压机的设计与应用[M]. 北京: 机械工业出版社, 2006.

Yu X L. Design and Application of Hydraulic Press[M]. Beijing: China Machine Press, 2006.

[20]卜匀, 龚清华, 王晓东. 四柱液压机横梁结构设计与有限元特性分析[J]. 装备制造技术, 2017 (5): 7-11.

Bu Y, Gong Q H, Wang X D. Structural design and finite element analysis of the upper beam of the four-column hydraulic press[J]. Equipment Manufacturing Technology, 2017(5): 7-11.

[21]杨朝全, 邓祥周, 宋本超. YQ32-400 t液压机上横梁的结构改进设计[J]. 煤矿机械, 2015, 36(4): 213-215.

Yang C Q, Deng X Z, Song B C. Structure improvement design for upper beam of YQ32-400 t forging machine[J]. Coal Mine Machinery, 2015, 36(4): 213-215.

[22]杨杰, 张崎, 黄一. 结构可靠性灵敏度因子的一种新指标[J]. 工程力学, 2013, 30(6): 16-29.

Yang J, Zhang Q, Huang Y. A new sensitivity factor for structural reliability[J]. Engineering Mechanics, 2013, 30(6): 16-29.

Service：

【This site has not yet opened Download Service】【Add Favorite】