应用正交试验法的RHT模型参数敏感性研究
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摘要
基于RHT模型的理论分析,选出A、N、B、M、B_Q、f_s/f_c、T_(ten)、D_1和E_(f,min) 9个参数作为正交试验分析参数,研究RHT模型中参数的敏感性.运用Autodyn程序对弹丸侵彻混凝土过程进行数值分析,确定了不同参数、不同水平值下弹丸的侵彻深度.采用极差分析法对参数的敏感程度进行量化分析,得出9个参数的敏感性排序为B>E_(f,min)>T_(ten)>f_s/f_c>N>M>D_1>B_Q>A.结合3组典型数值试验损伤云图和侵彻深度的对比分析,认为参数B、E_(f,min)和T_(ten)对数值模拟试验结果的影响极大,应采取可靠的技术手段准确确定其取值.
Based on theoretical analysis, analytical parameters A, N, B, M, B_Q, f_s/f_c, T_(ten),D_1 and E_(f,min) were analyzed by orthogonal test to assess the sensitivity of parameters in the RHT concrete model. The Autodyn program was used to simulate the penetration depth of the projectile with different parameters and different values. The sensitivity of the parameters was quantitatively analyzed, and the nine parameters were ranked as:B>E_(f,min)>T_(ten)>f_s/f_c>N>M>D_1>B_Q>A. The comparative analysis of damage nephogram and penetration depth derived from three typical numerical tests indicate that the parameters B, E_(f,min) and T_(ten) have a significant influence on the numerical simulation results, which should be accurately determined by reliable technical means.
Based on theoretical analysis, analytical parameters A, N, B, M, B_Q, f_s/f_c, T_(ten),D_1 and E_(f,min) were analyzed by orthogonal test to assess the sensitivity of parameters in the RHT concrete model. The Autodyn program was used to simulate the penetration depth of the projectile with different parameters and different values. The sensitivity of the parameters was quantitatively analyzed, and the nine parameters were ranked as:B>E_(f,min)>T_(ten)>f_s/f_c>N>M>D_1>B_Q>A. The comparative analysis of damage nephogram and penetration depth derived from three typical numerical tests indicate that the parameters B, E_(f,min) and T_(ten) have a significant influence on the numerical simulation results, which should be accurately determined by reliable technical means.
引文
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[2] Tu Z G,Lu Y.Evaluation of typical concrete material models used in hydrocodes for high dynamic response simulations[J].International Journal of Impact Engineering,2009,36 (1):132-146.
[3] Hansson H,Skoglund P.Simulation of concrete penetration in 2D and 3D with the RHT material model[R].Sweden:Swedish Defence Research Agency,2002.
[4] 匡志平,袁训康.RHT混凝土本构模型强度参数分析与模拟[J].力学季刊,2012,33(1):158-163.Kuang Zhiping,Yuan Xunkang.The analysis and simulation for the strength parameters of RHT concrete model[J].Chinese Quarterly of Mechanics,2012,33(1):158-163.(in Chinese)
[5] 张若棋,丁育青,汤文辉,等.混凝土HJC、RHT本构模型的失效强度参数[J].高压物理学报,2011,25(1):15-22.Zhang Ruoqi,Ding Yuqing,Tang Wenhui,et al.The failure strength parameters of HJC and RHT concrete constitutive model[J].Chinese Journal of High Pressure Physics,2011,25(1):15-22.(in Chinese)
[6] 施德胜,施冠银,陈江瑛.RHT模型的改进与数值拟合[J].宁波大学学报:理工版,2014,27(3):93-96.Shi Desheng,Shi Guanyin,Chen Jiangying.Improvement and numerical fitting of RHT model[J].Journal of Ningbo University:NSEE,2014,27(3) :93-96.(in Chinese)
[7] 徐超,叶观宝.应用正交试验设计进行数值模型参数的敏感性分析[J].水文地质工程地质,2014,31(1):95-97.Xu Chao,Ye Guanbao.Parameter sensitivity analysis of numerical model by cross test design technique[J].Hydrogeology & Engineering Geology,2014,31(1):95-97.(in Chinese)
[8] Riedel W,Thoma K,Hiermaier S.Penetration of Reinforced Concrete by BETA-B-500-Numerical analysis using a new macroscopic concrete modelfor hydrocodes[C]//Proceedings of 9th Internati-onal Symposium on Interaction of the Effect of Munitions with Structures.Berlin:[s.n.],1999:315-322.
[9] 吴贵生,于治福,于淑政,等.试验设计与数据处理[M].北京:冶金工业出版社,1997.Wu Guisheng,Yu Zhifu,Yu Shuzheng,et al.Experiment design and data processing[M].Beijing:Metallurgical Industry Press,1997.(in Chinese)
[10] 董如何,肖必华,方永水.正交试验设计的原理分析方法及应用[J].安徽建筑工业学院学报,2004,12(6):103-106.Dong Ruhe,Xiao Bihua,Fang Yongshui.The theoretical analysis of orthogonal test designs[J].Journal of Anhui Institute of Architecture and Industry,2004,12(6):103-106.(in Chinese)
[11] Qian L X,Yang Y B,Liu T.A semi-analytical model for truncated-ogive-nose projectiles penetration into semi-infinite concrete targets[J].International Journal of Impact Engineering,2000,24(9):947-955.
[12] 黄永辉.立井硬岩深孔锥形掏槽爆破技术研究[D].北京:中国矿业大学(北京),2013.Huang Yonghui.The technology study on long-hole pyramid cut blasting in hard rock vertical shaft[D].Beijing:China University of Mining and Technology(Beijing),2013.(in Chinese)
[13] 李洪超,陈勇,刘殿书,等.岩石RHT模型主要参数敏感性及确定方法研究[J].北京理工大学学报,2018,38(8):779-785.Li Hongchao,Chen Yong,Liu Dianshu,et al.Sensitivity analysis determination and optimization of rock RHT parameters[J].Transactions of Beijing Institute of Technology,2018,38(8):779-785.(in Chinese)
[14] 李洪超,刘殿书,赵磊,等.大理岩RHT模型参数确定研究[J].北京理工大学学报,2017,37(8):801-806.Li Hongchao,Liu Dianshu,Zhao Lei,et al.Study on parameters determination of marble RHT model[J].Transactions of Beijing Institute of Technology,2017,37(8):801-806.(in Chinese)
[15] 张凤国,李恩征.混凝土撞击损伤模型参数的确定方法[J].弹道学报,2001,13 (4):12-16.Zhang Fengguo,Li Enzheng.A method to determine the parameters of the model for concrete impact and damage[J].Journal of Ballistics,2001,13 (4):12-16.(in Chinese)