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兵工学报 ›› 2022, Vol. 43 ›› Issue (5): 1083-1092.doi: 10.12382/bgxb.2021.0121

• 论文 • 上一篇    下一篇

基于人工神经网络的非球形破片阻力系数预测模型

辛大钧, 薛琨   

  1. (北京理工大学 爆炸科学与技术国家重点实验室, 北京 100081)
  • 上线日期:2022-04-12
  • 通讯作者: 薛琨(1982—),女,副教授,博士生导师 E-mail:xuekun@bit.edu.cn
  • 作者简介:辛大钧(1997—), 男, 博士研究生。 E-mail: 645721752@qq.com
  • 基金资助:
    国家自然科学基金项目(11972088、11732003)

Artificial Neural Network-based Prediction Model for the Air Drag Coefficient of Non-spherical Fragments

XIN Dajun, XUE Kun   

  1. (State Key Laboratory of Explosion Science and Technology,Beijing Institute of Technology,Beijing 100081,China)
  • Online:2022-04-12

摘要: 非球形破片的弹道轨迹与其在超声速至亚声速范围内的阻力系数密切相关。非球形破片弹道飞行时会发生随机翻转,阻力系数也会随着破片姿态的变化而改变。为了从有限的破片姿态对应的阻力系数得到随机翻转状态下的平均破片阻力系数,提出一种基于正二十面体的平均方法,对32个特定的破片姿态对应的阻力系数进行平均,得到随机翻转状态下的平均破片阻力系数。该方法得到的立方体以及圆柱体破片的平均阻力系数与弹道枪试验的结果误差在10%之内。进一步研究了破片形貌即球形度对超声速至亚声速范围内破片阻力系数的影响。采用正二十面体平均方法计算得到大量非球形破片的阻力系数,球形度范围为0.35~1.00。通过人工神经网络建立了基于马赫数以及破片形状的阻力系数预测模型。预测模型测试结果表明,该模型具有较高的准确性;球形度是影响破片阻力系数最重要的形状因子,其影响程度在亚声速时最明显;超声速时破片阻力系数与球形度的依赖性显著降低。

关键词: 非球形破片, 阻力系数, 人工神经网络, 预测模型

Abstract: The trajectory of non-spherical fragments is closely related to the drag coefficient from supersonic to subsonic velocities. The non-spherical fragments tumble or rotate during ballistic flight,and the drag coefficient changes with the attitude of fragment. In order to obtain the average fragment drag coefficient under tumbling state from the drag coefficients corresponding to the finite fragment attitudes,a regular icosahedron-based averaging method is proposed. The average fragment drag coefficient under tumbling state is obtained by averaging the drag coefficients corresponding to 32 specific fragment attitudes. The error between the average drag coefficients of the cubic and cylindrical fragments obtained by the proposed method and those obtained by the ballistic gun test is within 10%. On this basis, the effect of fragment morphology,that is,sphericity,on the fragment drag coefficient in the full Mach number range is studied. The drag coefficients of a large number of non-spherical fragments are calculated by using the averaging method,with a sphericity of 0.35-1.00. A drag coefficient prediction model based on Mach number and fragment shape is established by artificial neural network. The test results show that the prediction model has high accuracy.It is found that the sphericity is the most important shape factor affecting the fragment drag coefficient,and its influence is most obvious at subsonic velocity.The dependence of fragment drag coefficient on the sphericity is significantly reduced at supersonic velocity.

Key words: non-sphericalfragment, airdragcoefficient, artificialneuralnetwork, predictionmodel

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