侵彻作用下负泊松比蜂窝夹芯结构动态响应

刘彦; 王百川; 闫俊伯; 闫子辰; 时振清; 黄风雷

doi:10.12382/bgxb.2022.0208

您当前的位置：

首页 >

文章列表页 >

侵彻作用下负泊松比蜂窝夹芯结构动态响应

更新时间：2025-08-18

- 侵彻作用下负泊松比蜂窝夹芯结构动态响应
- Dynamic Response of Honeycomb Sandwich Plate with Negative Poisson’s Ratio under Penetration
- 兵工学报 2023年44卷第7期页码：1938-1953
- 作者机构：
  
  1. 北京理工大学爆炸科学与技术国家重点实验室, 北京 100081
  2. 北京理工大学重庆创新中心, 重庆 401120
- 作者简介：
  
  *邮箱: bityanjunbo@bit.edu.cn
- 基金信息：
- DOI：10.12382/bgxb.2022.0208
  中图分类号：
- 收稿：2022-03-29，
  
  网络出版：2023-08-07，
  
  纸质出版：2023-07-30
- 稿件说明：
移动端阅览
刘彦, 王百川, 闫俊伯, 等. 侵彻作用下负泊松比蜂窝夹芯结构动态响应[J]. 兵工学报, 2023,44(7):1938-1953.

Yan LIU, Baichuan WANG, Junbo YAN, et al. Dynamic Response of Honeycomb Sandwich Plate with Negative Poisson’s Ratio under Penetration[J]. Acta Armamentarii, 2023, 44(7): 1938-1953.
刘彦, 王百川, 闫俊伯, 等. 侵彻作用下负泊松比蜂窝夹芯结构动态响应[J]. 兵工学报, 2023,44(7):1938-1953. DOI： 10.12382/bgxb.2022.0208.

Yan LIU, Baichuan WANG, Junbo YAN, et al. Dynamic Response of Honeycomb Sandwich Plate with Negative Poisson’s Ratio under Penetration[J]. Acta Armamentarii, 2023, 44(7): 1938-1953. DOI： 10.12382/bgxb.2022.0208.

摘要

随着战争的不断加剧

弹丸对高价值设施有严重威胁

提高各类设施的抗侵彻性能尤为关键。通过弹道枪实验和数值模拟方法研究3D打印蜂窝夹芯结构的抗侵彻性能。通过弹道冲击实验对比分析7块试件的动态响应。夹芯结构由Q345钢顶板、碳纤维增强复合材料(CFRP)背板和铝合金蜂窝芯层组成。实验对比了3种蜂窝芯层构型:泡沫铝、正六边形及具有负泊松比效应的内凹六边形。对比结果表明

与蜂窝芯层为泡沫铝和正泊松比的蜂窝夹芯结构相比

负泊松比蜂窝夹芯结构残余速度较低

抗侵彻性能较强。通过数值模拟研究获得了负泊松比蜂窝夹芯结构的动态响应过程。通过参数分析进一步得到胞元内折角度、背板厚度以及背板类型对负泊松比蜂窝夹芯结构抗侵彻性能的影响规律。数值研究结果表明

3种因素对蜂窝夹芯结构抗侵彻性能均存在一定影响。运用非支配遗传算法对初始蜂窝夹芯结构进行多目标优化

在保证相同弹道极限速度的前提下使得其质量减轻21.1%。

Abstract

With the intensification of war

projectiles pose a serious threat to high-value facilities

and improving the anti penetration performance of various facilities is particularly crucial. Study the anti penetration performance of 3D printed honeycomb sandwich structure through ballistic gun experiments and numerical simulation methods. Compare and analyze the dynamic response of 7 specimens through ballistic impact experiments. The sandwich structure consists of a Q345 steel top plate

a carbon fiber reinforced composite (CFRP) back plate

and an aluminum alloy honeycomb core layer. Three honeycomb core configurations are compared experimentally: foam aluminum

positive hexagon and concave hexagon with Negative Poisson’s ratio effect. The results show that compared with the honeycomb sandwich structure with foam aluminum core and positive Poisson’s ratio

the honeycomb sandwich structure with Negative Poisson’s ratio has lower residual velocity and stronger penetration resistance. The dynamic response process of honeycomb sandwich structure with Negative Poisson’s ratio is obtained through numerical simulation. Through parameter analysis

the influence of cell inflection angle

back plate thickness and back plate type on the anti penetration performance of honeycomb sandwich structures with Negative Poisson’s ratio is further obtained. The numerical research results indicate that all three factors have a certain impact on the anti penetration performance of honeycomb sandwich structures. The non dominated genetic algorithm is used to optimize the honeycomb sandwich structure with initial Negative Poisson’s ratio

and its mass is reduced by 21.1% under the premise of ensuring the same ballistic limit speed.

关键词

Keywords

references

HOU H L , ZHANG C L , LI M , et al . Damage characteristics of sandwich bulkhead under the impact of shock and high-velocity fragments [J ] . Explosion and Shock Waves , 2015 , 35 ( 1 ): 116 - 123 .

EVANS K E , NKANSAH M A , HUTCHINSON I J , et al . Molecular network design [J ] . Nature , 1991 , 353 ( 6340 ): 124 . DOI: 10.1038/353124a0 http://doi.org/10.1038/353124a0

LI X , ZHANG P W , WANG Z H , et al . Dynamic behavior of aluminum honeycomb sandwich panels under air blast: Experiment and numerical analysis [J ] . Composite Structures , 2014 , 108 : 1001 - 1008 . DOI: 10.1016/j.compstruct.2013.10.034 http://doi.org/10.1016/j.compstruct.2013.10.034 https://linkinghub.elsevier.com/retrieve/pii/S0263822313005473 https://linkinghub.elsevier.com/retrieve/pii/S0263822313005473

任鑫 , 张相玉 , 谢亿民 . 负泊松比材料和结构的研究进展 [J ] . 力学学报 , 2019 , 51 ( 3 ): 656 - 687 . DOI: 10.6052/0459-1879-18-381 http://doi.org/10.6052/0459-1879-18-381 负泊松比材料和结构具有特殊的力学性能,在单轴压力(拉力)作用下发生横向收缩(膨胀).其在抗剪承载力、抗断裂性、能量吸收和压陷阻力等方面比传统材料更有优势,因而负泊松比材料在医疗设备、传感器、防护设备、航空航海及国防工程等领域有广泛的应用前景,但目前负泊松比材料的应用与普及仍面临一些挑战.本文广泛讨论了国内外关于负泊松比材料的研究成果并介绍了负泊松比材料的最新进展,将负泊松比材料大体概括为以下4类：天然负泊松比材料、胞状负泊松比材料、金属负泊松比材料、多重和复合负泊松比材料.主要介绍了各种负泊松比材料的内部结构、负泊松比机理、力学性能以及在各行各业的新发明、新应用.针对目前负泊松比材料研究理论和实验成果多,而实际应用仍然较少的情况,指出了负泊松比材料的缺点及其推广所面临的挑战.目前负泊松比材料面临的主要问题是制造成本高、孔隙率大而承载力不足以及仅适用于小应变情况等.本文针对此情况详细介绍了金属负泊松比材料及其设计和制作的方法,改善负泊松比材料的不足并推广其应用.

REN X , ZHANG X Y , XIE Y M . Researchprogress in auxetic material and structures [J ] . Chinese Journal of Theoretical and Applied Mechanics , 2019 , 51 ( 3 ): 656 - 687 . (in Chinese)

QI C , REMENNIKOV A , PEI L Z , et al . Impact and close-in blast response of auxetic honeycomb-cored sandwich panels:experimental tests and numerical simulations [J ] . Composite Structures , 2017 , 180 : 161 - 178 . DOI: 10.1016/j.compstruct.2017.08.020 http://doi.org/10.1016/j.compstruct.2017.08.020 https://linkinghub.elsevier.com/retrieve/pii/S0263822317304014 https://linkinghub.elsevier.com/retrieve/pii/S0263822317304014

JIN X C , WANG Z H , NING J G , et al . Dynamic response of sandwich structures with graded auxetic honeycomb cores under blast loading [J ] . Composites Part B-Engineering , 2016 , 106 : 206 - 217 . DOI: 10.1016/j.compositesb.2016.09.037 http://doi.org/10.1016/j.compositesb.2016.09.037 https://linkinghub.elsevier.com/retrieve/pii/S1359836816319643 https://linkinghub.elsevier.com/retrieve/pii/S1359836816319643

IMBALZANO G , PHUONG T , NGO T D , et al . Three-dimensional modelling of auxetic sandwich panels for localised impact resistance [J ] . Journal of Sandwich Structures & Materials , 2017 , 19 ( 3 ): 291 - 316 .

IMBALZANO G , LINFORTH S , TUAN DUC N , et al . Blast resistance of auxetic and honeycomb sandwich panels:Comparisons and parametric designs [J ] . Composite Structures , 2018 , 183 : 242 - 261 . DOI: 10.1016/j.compstruct.2017.03.018 http://doi.org/10.1016/j.compstruct.2017.03.018 https://linkinghub.elsevier.com/retrieve/pii/S0263822316324047 https://linkinghub.elsevier.com/retrieve/pii/S0263822316324047

HOU S Y , LI T T , JIA Z , et al . Mechanical properties of sandwich composites with 3d-printed auxetic and non-auxetic lattice cores under low velocity impact [J ] . Materials & Design , 2018 , 160 : 1305 - 1321 .

SARVESTANI H Y , AKBARZADEH A H , NIKNAM H , et al . 3D printed architected polymeric sandwich panels:energy absorption and structural performance [J ] . Composite Structures , 2018 , 200 : 886 - 909 . DOI: 10.1016/j.compstruct.2018.04.002 http://doi.org/10.1016/j.compstruct.2018.04.002 https://linkinghub.elsevier.com/retrieve/pii/S0263822317342423 https://linkinghub.elsevier.com/retrieve/pii/S0263822317342423

YANG C , VORA H D , CHANG Y . Behavior of auxetic structures under compression and impact forces [J ] . Smart Materials and Structures , 2018 , 27 ( 2 ): 025012 . DOI: 10.1088/1361-665X/aaa3cf http://doi.org/10.1088/1361-665X/aaa3cf https://iopscience.iop.org/article/10.1088/1361-665X/aaa3cf https://iopscience.iop.org/article/10.1088/1361-665X/aaa3cf

LI Y , CHEN Z H , XIAO D B , et al . The dynamic response of shallow sandwich arch with auxetic metallic honeycomb core under localized impulsive loading [J ] . International Journal of Impact Engineering , 2020 , 137 : 103442 . DOI: 10.1016/j.ijimpeng.2019.103442 http://doi.org/10.1016/j.ijimpeng.2019.103442 https://linkinghub.elsevier.com/retrieve/pii/S0734743X19302647 https://linkinghub.elsevier.com/retrieve/pii/S0734743X19302647

USTA F , TURKMEN H S , SCARPA F . Low-velocity impact resistance of composite sandwich panels with various types of auxetic and non-auxetic core structures [J ] . Thin-Walled Structures , 2021 , 163 : 107738 . DOI: 10.1016/j.tws.2021.107738 http://doi.org/10.1016/j.tws.2021.107738 https://linkinghub.elsevier.com/retrieve/pii/S0263823121002019 https://linkinghub.elsevier.com/retrieve/pii/S0263823121002019

QI C , YANG S , WANG D , et al . Ballistic resistance of honeycomb sandwich panels under in-plane high-velocity impact [J ] . Scientific World Journal , 2013 : 892781 .

YANG S , QI C , WANG D , et al . A comparative study of ballistic resistance of sandwich panels with aluminum foam and auxetic honeycomb cores [J ] . Advances in Mechanical Engineering , 2013 : 589216 .

WANG Y , YU Y , WANG C , et al . On the out-of-plane ballistic performances of hexagonal,reentrant,square,triangular and circular honeycomb panels [J ] . International Journal of Mechanical Sciences , 2020 , 173 : 105402 . DOI: 10.1016/j.ijmecsci.2019.105402 http://doi.org/10.1016/j.ijmecsci.2019.105402 https://linkinghub.elsevier.com/retrieve/pii/S0020740319319800 https://linkinghub.elsevier.com/retrieve/pii/S0020740319319800

王晓强 , 胡方靓 , 徐双喜 . 蜂窝夹芯板的抗高速冲击性能研究 [J ] . 武汉理工大学学报(交通科学与工程版) , 2021 , 45 ( 4 ): 709 - 714 .

WANG X Q , HU F L , XU S X . Study on high speed impact resistance of honeycomb sandwich panel [J ] . Journal of Wuhan University of Technology (Transportation Science & Engineering ), 2021 , 45 ( 4 ): 709 - 714 . (in Chinese)

曹杰 , 葛建立 , 王浩 , 等 . 蜂窝铝冲击波形数值计算及分析 [J ] . 弹道学报 , 2017 , 29 ( 4 ): 58 - 63 . 为分析蜂窝铝结构参数以及弹丸参数对冲击波形的影响,利用LS-DYNA有限元软件建立了弹丸侵彻蜂窝铝模型,模拟了侵彻波形的发生过程。比较了蜂窝铝相对密度、胞孔角度,侵彻初速和弹头形状对冲击加速度波形的影响。结果表明,增大蜂窝铝相对密度、减小胞孔角度可以引起加速度峰值的提高和冲击脉宽的减小; 提升初始侵彻速度可以同时引起加速度峰值与脉宽的提升; 弹丸形状影响冲击波形,使用卵形弹可以获得较平缓的加速度波形。研究结果对以蜂窝铝为缓冲材料的冲击试验参数选择具有重要参考价值。

CAO J , GE J L , WANG H , et al . Numerical simulation on shock waveform of aluminum honeycombs [J ] . Journal of Ballistics , 2017 , 29 ( 4 ): 58 - 63 . (in Chinese) In order to analyze the effect of projectile with different structures and aluminum honeycomb target with different material parameters on acceleration response,a nonlinear dynamic finite-element model of projectile penetrating target was established,which was simulated by LS-DYNA software.The influences of different parameters on impulse response were compared including relative density and cell wall angle of aluminum honeycomb,and the initial velocity and the shape of projectile.The results show that the peak acceleration increases,and the pulse width reduces by increasing relative density and reducing cell wall angle.The peak value and the pulse width of the acceleration increase with the increase of initial speed of bullet.The shape of bullet affects the shock waveform,and a smooth acceleration waveform can be obtained by using an oval projectile.The obtained results offer an important reference to selection of parameters in the design of impact experiment with honeycomb aluminum as cushioning material.

贾然 , 赵桂平 . 泡沫铝本构行为研究进展 [J ] . 力学学报 , 2020 , 52 ( 3 ): 603 - 622 . DOI: 10.6052/0459-1879-20-020 http://doi.org/10.6052/0459-1879-20-020 作为泡沫金属的典型代表, 泡沫铝是一种集结构性和功能性于一体的新型材料, 随着生产工艺的提高及国民经济的发展, 泡沫铝在航空航天、交通运输、建筑工程、机械制造等领域的应用日趋深入和广泛. 工程中复杂的载荷工况, 对泡沫铝本构模型的准确性及实用性提出了更高的要求. 国内外学者对泡沫铝进行了大量的试验研究及有限元数值分析工作, 随着各种研究和数值分析本构模型的提出、验证及修正等, 人们对泡沫铝的力学性能及其应用的认识逐渐提高. 本文首先简要概述了泡沫铝力学性能的试验研究及有限元数值分析的进展, 然后重点综述泡沫铝本构行为的国内外研究进展及现状. 最后, 针对目前存在的问题, 讨论并展望了泡沫铝本构行为的研究发展趋势. 完善本构模型表征所需的特征参量, 将各向异性或横观各项同性材料假定引入模型构建体系, 明确静水压缩响应及单轴压缩响应在材料强化中的权重, 建立例如随动强化般更加真实且准确反映泡沫铝强化过程的强化准则, 将应变率效应研究成果引入本构模型中等是现有泡沫铝本构模型体系中的重要研究方向.

JIA R , ZHAO G P . Progress in constitutive behavior of aluminum foam [J ] . Chinese Journal of Theoretical and Applied Mechanics , 2020 , 52 ( 3 ): 603 - 622 . (in Chinese)

YANG J K , GU D D , LIN K J , et al . Optimization of bio-inspired bi-directionally corrugated panel impact-resistance structures:numerical simulation and selective laser melting process [J ] . Journal of the Mechanical Behavior of Biomedical Materials , 2019 , 91 : 59 - 67 . DOI: 10.1016/j.jmbbm.2018.11.026 http://doi.org/10.1016/j.jmbbm.2018.11.026 https://linkinghub.elsevier.com/retrieve/pii/S1751616118310518 https://linkinghub.elsevier.com/retrieve/pii/S1751616118310518

ZHANG Y , LU M , WANG C H , et al . Out-of-plane crashworthiness of bio-inspired self-similar regular hierarchical honeycombs [J ] . Composite Structures , 2016 , 144 : 1 - 13 . DOI: 10.1016/j.compstruct.2016.02.014 http://doi.org/10.1016/j.compstruct.2016.02.014 https://linkinghub.elsevier.com/retrieve/pii/S0263822316300344 https://linkinghub.elsevier.com/retrieve/pii/S0263822316300344

MALVAR L J . Review of static and dynamic properties of steel reinforcing bars [J ] . Aci Materials Journal , 1998 , 95 ( 5 ): 609 - 616 .

CHEN J L , SHU W Y , LI J W . Constitutive model of Q345 steel at different intermediate strain rates [J ] . International Journal of Steel Structures , 2017 , 17 ( 1 ): 127 - 137 . DOI: 10.1007/s13296-016-0122-8 http://doi.org/10.1007/s13296-016-0122-8 http://link.springer.com/10.1007/s13296-016-0122-8 http://link.springer.com/10.1007/s13296-016-0122-8

AFDHAL , JUSUF A , GUNAWAN L , et al . Numerical simulation of SHPB to measure the mechanical properties of aluminium foam material at high strain rate by using MAT 163 modified crushable foam [C ] //Proceedings of the 7th International Conference on Mechanical and Manufacturing Engineering,Sustainable Energy Towards Global Synergy.Jogjakarta , Indonesia : AIP Publishing , 2017 , 1831 ( 1 ): 020057 .

CHENIAEV A , BUTCHER C , MONTESANO J . Predicting the axial crush response of CFRP tubes using three damage-based constitutive models [J ] . Thin-Walled Structures , 2018 , 129 : 349 - 364 . DOI: 10.1016/j.tws.2018.05.003 http://doi.org/10.1016/j.tws.2018.05.003 https://linkinghub.elsevier.com/retrieve/pii/S0263823118301964 https://linkinghub.elsevier.com/retrieve/pii/S0263823118301964

GIANNAROS E , KOTZAKOLIOS A , KOSTOPOULO V , et al . Hypervelocity impact response of CFRP laminates using smoothed particle hydrodynamics method: Implementation and validation [J ] . International Journal of Impact Engineering , 2019 , 123 : 56 - 69 . DOI: 10.1016/j.ijimpeng.2018.09.016 http://doi.org/10.1016/j.ijimpeng.2018.09.016 https://linkinghub.elsevier.com/retrieve/pii/S0734743X18305050 https://linkinghub.elsevier.com/retrieve/pii/S0734743X18305050

KIM Y C , YOON S H , JOO G , et al . Crash analysis of aluminum/CFRP hybrid adhesive joint parts using adhesive modeling technique based on the fracture mechanics [J ] . Polymers , 2021 , 13 ( 19 ): 3364 . DOI: 10.3390/polym13193364 http://doi.org/10.3390/polym13193364 https://www.mdpi.com/2073-4360/13/19/3364 https://www.mdpi.com/2073-4360/13/19/3364 This study describes the numerical simulation results of aluminum/carbon-fiber-reinforced plastic (CFRP) hybrid joint parts using the explicit finite-element solver LS-DYNA, with a focus on capturing the failure behavior of composite laminates as well as the adhesive capacity of the aluminum–composite interface. In this study, two types of adhesive modeling techniques were investigated: a tiebreak contact condition and a cohesive zone model. Adhesive modeling techniques have been adopted as a widely commercialized model of structural adhesives to simulate adhesive failure based on fracture mechanics. CFRP was studied with numerical simulations utilizing LS-DYNA MAT54 to analyze the crash capability of aluminum/CFRP. To evaluate the simulation model, the results were compared with the force–displacement curve from numerical analysis and experimental results. A parametric study was conducted to evaluate the effect of different fracture toughness values used by designers to predict crash capability and adhesive failure of aluminum/CFRP parts.

DONG S , GRAENING L , CARNEY K , et al . Analysis of crush-damaged carbon-fiber-reinforced-polymer(CFRP) composites with optimization-assisted post-peak-stress modeling [J ] . Journal of Composite Materials , 2021 , 55 ( 6 ): 759 - 774 . DOI: 10.1177/0021998320957702 http://doi.org/10.1177/0021998320957702 http://journals.sagepub.com/doi/10.1177/0021998320957702 http://journals.sagepub.com/doi/10.1177/0021998320957702 In the presented effort, layered CFRP composites samples with differing thicknesses and cross-sections are manufactured and crushed under quasi-static loading conditions. Simulation of the crushes are conducted using traditional continuum mechanics damage models. Parameters are proposed to represent the post peak-stress material behavior including the residual strengths of the fiber and matrix, as well the ultimate strain for deletion of composite elements. This paper presents a systematic approach to identify optimal values for these post peak-stress parameters based on a methodology incorporating CAE models and numerical optimization. An adaptive meta-model based global optimization strategy, with the objective of matching the force-time characteristics of multiple crush experiments simultaneously, has been established to quantify the values of the CFRP’s post peak-stress degradation and erosion material model parameters through calibration. Using two separate test configurations for optimization, a set of values for those parameters are determined. This parameter set is shown to successfully predict the response of additional test cases, including matching of force-displacement curves and crushing modes. The resulting composite crush simulations show a good quantitative as well as qualitative agreement between simulations and experiments to a degree that is difficult to be achieved solely with previous engineering practice.

CHEN G M , LI S W , FERNNDO D , et al . Full-range FRP failure behaviour in RC beams shear-strengthened with FRP wraps [J ] . International Journal of Solids and Structures , 2017 , 125 : 21 .

BAKAY R , SAYED-AHMED E Y , SHRIVE N G . Interfacial debonding failure for reinforced concrete beams strengthened with carbon-fibre-reinforced polymer strips [J ] . Canadian Journal of Civil Engineering , 2009 , 36 ( 1 ): 103 - 121 . DOI: 10.1139/L08-096 http://doi.org/10.1139/L08-096 http://www.nrcresearchpress.com/doi/10.1139/L08-096 http://www.nrcresearchpress.com/doi/10.1139/L08-096 Rehabilitation of structures using fibre-reinforced polymers (FRPs) has become a preferred strengthening technique. Crack-induced debonding failure has been repeatedly recorded when using fibre-reinforced polymer (FRP) laminates to strengthen reinforced concrete (RC) beams and (or) slabs in flexure. A testing programme has been performed to determine the effect of the concrete compressive strength and the amount of shear reinforcement on the interfacial debonding. The ultimate strain at failure in the bonded laminates (usage efficiency) and the strain compatibility between the laminates and the concrete sections have been investigated. The current design methods for reinforced concrete members strengthened with FRP do not explicitly consider the interfacial debonding failure; using the results of the experimental programme, the applicability and limitations of these design methods are identified. New design procedures are proposed and compared with the experimental programme results and the currently adopted procedures.

MUTALI A A , HAO H . Numerical analysis of FRP-composite-strengthened RC panels with anchorages against blast loads [J ] . Journal of Performance of Constructed Facilities , 2011 , 25 ( 5 ): 360 - 372 . DOI: 10.1061/(ASCE)CF.1943-5509.0000199 http://doi.org/10.1061/(ASCE)CF.1943-5509.0000199 https://ascelibrary.org/doi/10.1061/%28ASCE%29CF.1943-5509.0000199 https://ascelibrary.org/doi/10.1061/%28ASCE%29CF.1943-5509.0000199

葛继科 , 邱玉辉 , 吴春明 , 等 . 遗传算法研究综述 [J ] 计算机应用研究 , 2008 ( 10 ): 2911 - 2916 .

GE J K , QIU Y H , WU C M , et al . Summary of genetic algorithms research [J ] . Application Research of Computers , 2008 ( 10 ): 2911 - 2916 . (in Chinese)

边霞 , 米良 . 遗传算法理论及其应用研究进展 [J ] . 计算机应用研究 , 2010 , 27 ( 7 ): 2425 - 2434 .

BIAN X , MI L . Development on genetic algorithm theory and its applications [J ] . Application Research of Computers , 2010 , 27 ( 7 ): 2425 - 2434 . (in Chinese)

马永杰 , 云文霞 . 遗传算法研究进展 [J ] . 计算机应用研究 , 2012 , 29 ( 4 ): 1201 - 1210 .

MA Y J , YUN W X . Research progress of genetic algorithm [J ] . Application Research of Computers , 2012 , 29 ( 4 ): 1201 - 1210 . (in Chinese)

浏览量

407

下载量

CNKI被引量

文章被引用时，请邮件提醒。

提交

工具集

关联资源

基于BP神经网络的超空泡射弹优化设计方法

一种自适应遗传优化的通信定位算法

基于三支决策和遗传算法的动态武器目标分配

泡沫铝弹冲击下柱面负泊松比蜂窝夹芯结构防护钢板动态响应特性

服役状态下履带车辆综合传动装置换挡过程油压曲线自动寻优