基于损失函数的缩比模型冲击响应预报结果修正方法

doi:10.7527/S1000-6893.2021.25781

固体力学与飞行器总体设计

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基于损失函数的缩比模型冲击响应预报结果修正方法

王悦鑫^1,2, 何欢^1,2, 吴添³, 惠旭龙⁴

1. 南京航空航天大学机械结构力学及控制国家重点实验室, 南京 210016;
2. 南京航空航天大学振动工程研究所, 南京 210016;
3. 上海宇航系统工程研究所, 上海 210019;
4. 中国飞机强度研究所结构冲击动力学航空科技重点实验室, 西安 710065

收稿日期:2021-05-11 修回日期:2021-12-17 出版日期:2022-08-15 发布日期:2021-10-27
通讯作者: 何欢,E-mail:hehuan@nuaa.edu.cn E-mail:hehuan@nuaa.edu.cn
基金资助:
国家自然科学基金(12072153)

Modified method for impact response prediction of scaled model based on loss function

WANG Yuexin^1,2, HE Huan^1,2, WU Tian³, XI Xulong⁴

1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
3. Shanghai Aerospace System Engineering Research Institute, Shanghai 210019, China;
4. Aviation Key Laboratory of Science and Technology on Structures Impact Dynamics, Aircraft Strength Research Institute of China, Xi'an 710065, China

Received:2021-05-11 Revised:2021-12-17 Online:2022-08-15 Published:2021-10-27
Supported by:
National Natural Science Foundation of China (12072153)

摘要/Abstract

摘要： 利用缩比模型相似性预报原型结果是研究大型结构冲击响应常用的手段之一。受应变率效应的影响,缩比模型与原型的流动屈服应力相似关系失衡,导致缩比模型试验结果预报原型冲击响应出现偏差。针对这一问题,本文开展缩比模型冲击响应预报结果修正方法研究,提出一种衡量流动屈服应力整体误差的损失函数来量化缩比模型与原型流动屈服应力之间的差异,当损失函数在应变率区间内取最小值时可以得到满足最小整体误差条件的速度相似因子,以此修正缩比模型试验的初始条件和其他物理量的相似因子,达到减小预报误差的效果。为了验证该方法的有效性,开展了数值模拟和冲击试验。结果表明,利用损失函数法可以有效地提高缩比模型的预报精度,能够更准确地预报原型的冲击响应。

关键词: 缩比模型, 应变率效应, 冲击响应, 损失函数, 相似关系

Abstract: Prediction of prototype results by the scaled model is one of the commonly used methods to research the impact response of large structures. Due to the strain rate effect, the similarity relationship between the prototype and the scale model is out of balance, which leads to the deviation of prediction of the prototype impact response by the scaled model test results. For this problem, a modified method for impact response prediction of the scaled model is investigated in this paper. A loss function for measuring the overall error of the flow yield stress is proposed to quantify the deviation between the scaled model and the prototype. When the loss function is minimized in the strain rate range, the velocity scaling factor satisfying the condition of the minimum global error can be obtained, by which the initial condition of the scaled model test and the scaling factors of other relevant quantities can be modified and the prediction error can be reduced finally. To verify the effectiveness of the modified method, numerical simulation and impact tests are carried out. The results show that the loss function method can effectively improve the prediction accuracy of the scaled model, and can predict the impact response of the prototype more accurately.

Key words: scaled model, strain rate effect, impact response, loss function, similarity relationship

中图分类号:

V215

王悦鑫, 何欢, 吴添, 惠旭龙. 基于损失函数的缩比模型冲击响应预报结果修正方法[J]. 航空学报, 2022, 43(8): 225781.

WANG Yuexin, HE Huan, WU Tian, XI Xulong. Modified method for impact response prediction of scaled model based on loss function[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(8): 225781.

参考文献

[1] 刘小川, 郭军, 孙侠生, 等. 民机机身段和舱内设施坠撞试验及结构适坠性评估[J]. 航空学报, 2013, 34(9): 2130-2140. LIU X C, GUO J, SUN X S, et al. Drop test and structure crashworthiness evaluation of civil airplane fuselage section with cabin interiors[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(9): 2130-2140 (in Chinese).
[2] 冯振宇, 张晓敏, 牟浩蕾, 等. 不同冲击条件对机身结构适坠性的影响[J]. 机械科学与技术, 2013, 32(3): 353-357. FENG Z Y, ZHANG X M, MOU H L, et al. Influences of different impact conditions on aircraft fuselage crashworthiness[J]. Mechanical Science and Technology for Aerospace Engineering, 2013, 32(3): 353-357 (in Chinese).
[3] 刘宗兴, 刘军, 李维娜. 爆炸冲击载荷下典型机身结构动响应及破坏[J]. 航空学报, 2021, 42(2): 224252. LIU Z X, LIU J, LI W N. Dynamic response and failure of typical fuselage structure under blast impact load[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(2): 224252 (in Chinese).
[4] 胡宇群. 集中载荷冲击下梁的动态塑性响应分析[J]. 南京航空航天大学学报, 2009, 41(1): 25-29. HU Y Q. Dynamic plastic response of beams subjected to impact of concentrated mass[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2009, 41(1): 25-29 (in Chinese).
[5] ZHAO Y P. Suggestion of a new dimensionless number for dynamic plastic response of beams and plates[J]. Archive of Applied Mechanics, 1998, 68(7-8): 524-538.
[6] LI Q M, JONES N. On dimensionless numbers for dynamic plastic response of structural members[J]. Archive of Applied Mechanics, 2000, 70(4): 245-254.
[7] HU Y Q. Application of response number for dynamic plastic response of plates subjected to impulsive loading[J]. International Journal of Pressure Vessels and Piping, 2000, 77(12): 711-714.
[8] SHI X H, GAO Y G. Generalization of response number for dynamic plastic response of shells subjected to impulsive loading[J]. International Journal of Pressure Vessels and Piping, 2001, 78(6): 453-459.
[9] FERGUSON G L. Replica model scaling for high strain-rate events[J]. International Journal of Impact Engineering, 1995, 16(4): 571-583.
[10] SCHLEYER G K, HSU S S, WHITE M D. Scaling of pulse loaded mild steel plates with different edge restraint[J]. International Journal of Mechanical Sciences, 2004, 46(9): 1267-1287.
[11] OSHIRO R E, ALVES M. Scaling impacted structures[J]. Archive of Applied Mechanics, 2004, 74(1-2): 130-145.
[12] OSHIRO R E, ALVES M. Scaling of cylindrical shells under axial impact[J]. International Journal of Impact Engineering, 2007, 34(1): 89-103.
[13] OSHIRO R E, ALVES M. Scaling of structures subject to impact loads when using a power law constitutive equation[J]. International Journal of Solids and Structures, 2009, 46(18-19): 3412-3421.
[14] OSHIRO R E, ALVES M. Predicting the behaviour of structures under impact loads using geometrically distorted scaled models[J]. Journal of the Mechanics and Physics of Solids, 2012, 60(7): 1330-1349.
[15] ALVES M, OSHIRO R E. Scaling impacted structures when the prototype and the model are made of different materials[J]. International Journal of Solids and Structures, 2006, 43(9): 2744-2760.
[16] MAZZARIOL L M, OSHIRO R E, ALVES M. A method to represent impacted structures using scaled models made of different materials[J]. International Journal of Impact Engineering, 2016, 90: 81-94.
[17] 张振华, 秦健, 王乘, 等. 固支加筋方板在均布冲击载荷作用下动态响应的相似畸变研究[J]. 哈尔滨工程大学学报, 2008, 29(3): 226-231. ZHANG Z H, QIN J, WANG C, et al. Method for scaling impact load data obtained from a small scale model to that of the full size clamped and stiffened plate[J]. Journal of Harbin Engineering University, 2008, 29(3): 226-231 (in Chinese).
[18] 徐坤, 刘源, 冯吉奎, 等. 应变率效应对结构响应相似律的影响研究[J]. 兵工学报, 2016, 37(S2): 101-106. XU K, LIU Y, FENG J K, et al. Analysis of influence of strain rate effects on similarity law of structural response[J]. Acta Armamentarii, 2016, 37(Sup 2): 101-106 (in Chinese).
[19] 姜正荣, 钟渝楷, 石开荣. 单层网壳冲击动态响应相似律与数值模拟验证[J]. 振动与冲击, 2016, 35(21): 143-149. JIANG Z R, ZHONG Y K, SHI K R. Comparability rule and numerical simulation verification for impact dynamic responses of single layer reticulated shells[J]. Journal of Vibration and Shock, 2016, 35(21): 143-149 (in Chinese).
[20] 包杰, 刘昆, George WANG. 考虑应变率影响的圆管结构冲击试验缩尺修正方法研究[J]. 海洋工程, 2016, 34(5): 73-82. BAO J, LIU K, WANG G. Research on the modified scale method for impact tests of tubular structures considering the effect of strain rate[J]. The Ocean Engineering, 2016, 34(5): 73-82 (in Chinese).
[21] 胡晨晞. 单层网壳结构非线性冲击响应研究[D]. 广州: 华南理工大学, 2019: 91-94. HU C X. Nonlinear response investigation of the single-layer reticulated domes under the impact load[D]. Guangzhou: South China University of Technology, 2019: 91-94 (in Chinese).
[22] 秦健, 张振华. 原型和模型不同材料时加筋板冲击动态响应的相似预报方法[J]. 爆炸与冲击, 2010, 30(5): 511-516. QIN J, ZHANG Z H. A scaling method for predicting dynamic responses of stiffened plates made of materials different from experimental models[J]. Explosion and Shock Waves, 2010, 30(5): 511-516 (in Chinese).
[23] 苏子星, 何继业. 基于Cowper-Symonds方程的相似理论修正方法[J]. 爆炸与冲击, 2018, 38(3): 654-658. SU Z X, HE J Y. Modified method for scaling law based on Cowper-Symonds equation[J]. Explosion and Shock Waves, 2018, 38(3): 654-658 (in Chinese).
[24] SADEGHI H, DAVEY K, DARVIZEH R, et al. A scaled framework for strain rate sensitive structures subjected to high rate impact loading[J]. International Journal of Impact Engineering, 2019, 125: 229-245.
[25] SADEGHI H, DAVEY K, DARVIZEH R, et al. Scaled models for failure under impact loading[J]. International Journal of Impact Engineering, 2019, 129: 36-56.
[26] 王帅, 徐绯, 代震, 等. 结构冲击畸变问题的直接相似方法研究[J]. 力学学报, 2020, 52(3): 774-786. WANG S, XU F, DAI Z, et al. A direct scaling method for the distortion problems of structural impact[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(3): 774-786 (in Chinese).
[27] WANG S, XU F, DAI Z. Suggestion of the DLV dimensionless number system to represent the scaled behavior of structures under impact loads[J]. Archive of Applied Mechanics, 2020, 90(4): 707-719.
[28] SNYMAN I M. Impulsive loading events and similarity scaling[J]. Engineering Structures, 2010, 32(3): 886-896.
[29] OSHIRO R E, CALLE M A G, MAZZARIOL L M, et al. Experimental study of collision in scaled naval structures[J]. International Journal of Impact Engineering, 2017, 110: 149-161.
[30] JOHNSON G R, COOK W H. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures[J]. Engineering Fracture Mechanics, 1983, 21: 541-548.

E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于损失函数的缩比模型冲击响应预报结果修正方法

Modified method for impact response prediction of scaled model based on loss function

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