基于径向基点插值法的大口径火炮身管固有频率特性研究

doi:10.3969/j.issn.1000-1093.2017.12.004

兵工学报 ›› 2017, Vol. 38 ›› Issue (12): 2321-2327.doi: 10.3969/j.issn.1000-1093.2017.12.004

基于径向基点插值法的大口径火炮身管固有频率特性研究

张弘钧¹，钱林方¹，陈光宋¹，许彬²

(1.南京理工大学机械工程学院, 江苏南京 210094; 2.中国北方工业公司军贸技术研究院, 北京 100053)

收稿日期:2017-05-05 修回日期:2017-05-05 上线日期:2018-02-01
通讯作者: 钱林方(1961—), 男, 教授，博士生导师 E-mail:lfqian@vip.163.com
作者简介:张弘钧(1977—), 男，副研究员, 博士研究生。 E-mail: zhanghj@njust.edu.cn
基金资助:
国家自然科学基金项目（11472137）

Research on the Natural Frequencies of a Large-caliber Howitzer Barrel Based on Radial Point Interpolation Method

ZHANG Hong-jun¹， QIAN Lin-fang¹， CHEN Guang-song¹， XU Bin²

(1.School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094，Jiangsu，China；2.Technical Research Institute of Military Trade, China North Industries Corporation, Beijing 100053，China)

Received:2017-05-05 Revised:2017-05-05 Online:2018-02-01

摘要/Abstract

摘要： 考虑炮口制退器和炮尾的影响，建立身管弹性动力学方程，结合有限元法与无网格方法的各自优点，基于径向基点插值法。以积分点所在的单元支持域作为积分点的插值域，提出单元支持域径向基点插值法。建立离散形式的身管弹性动力学方程，计算获得身管固有频率。通过数值算例和实验验证了所提方法求解身管模态的有效性。计算结果表明：在相同网格数的情况下，所提方法能够得到更准确的结果，而且与实验结果相吻合。

关键词: 兵器科学与技术, 身管, 固有频率, 单元支持域径向基点插值法

Abstract: Considering the influence of muzzle brake and breech ring, an elastic dynamics equation of the barrel is established. Combining the advantages of the finite element method and the meshless method, an element supported domain radial point interpolation method is proposed based on the radial basis point interpolation method, in which the element supported domain is treated as the interpolation domain of the integration point to establish the discrete elastic dynamics equation. The natural frequencies of barrel are estimated by solving the dynamic equation. Finally, the effectiveness of the proposed method is demonstrated by numerical examples and experiments, and the results show that the proposed method can provide more accurate results with the same element number，which can coincide with the experimental results. Key

Key words: ordnancescienceandtechnology, barrel, naturalfrequency, elementsupporteddomainradialpointinterpolationmethod

中图分类号:

TJ302

张弘钧，钱林方，陈光宋，许彬. 基于径向基点插值法的大口径火炮身管固有频率特性研究[J]. 兵工学报, 2017, 38(12): 2321-2327.

ZHANG Hong-jun， QIAN Lin-fang， CHEN Guang-song， XU Bin. Research on the Natural Frequencies of a Large-caliber Howitzer Barrel Based on Radial Point Interpolation Method[J]. Acta Armamentarii, 2017, 38(12): 2321-2327.

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2017 年12月兵工学报ACTA
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基于径向基点插值法的大口径火炮身管固有频率特性研究

Research on the Natural Frequencies of a Large-caliber Howitzer Barrel Based on Radial Point Interpolation Method

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