Nonlinear Dynamic Model and Response Characteristics of Penetration Projectile-fuze System

doi:10.12382/bgxb.2024.0097

Abstract

Abstract:

In order to accurately reveal and describe the overload environment and dynamic response of the core components inside the fuze of projectile-fuze system in the process of penetrating into typical targets,the interaction between projectile and target during penetrating are obtained based on the cavity expansion theory,and the propagation effects of stress waves inside the warhead are analyzed.The load transfer characteristics of threaded connection between warhead and fuze and the nonlinear response mode of a cushioning material are introduced.A nonlinear dynamic response model of projectile-fuze system under high-speed penetration is constructed,and the model parameters are determined by using the theoretical and experimental methods.The dynamic response characteristics of projectile-fuze system and the influence mechanisms and regularity of projectile and target parameters on overload signals are researched through finite element numerical simulation.The results indicate that the time-frequency domain characteristics of the proposed nonlinear dynamic response model consistent with the numerically simulated results well,which can more accurately describe the overload transfer characteristics of projectile-fuze system and the real dynamic responses of internal components under high speed penetration.The response mode is mainly the coupling superposition of rigid overload and high frequency structural vibration,the threaded connection amplifies the overload signal,and the polyurethane material exhibits a certain energy absorption and filtering effect in the penetration and impact environment.The overload signals of the projectile-fuze system penetrating a multi-layered target are more complex and intense those when penetrating a single semi-infinite target.The frequency characteristics of interaction between projectile and target are determined by projectile and target parameters.When the frequency of interaction between warhead and target in penetrating multiple layers of spaced targets is closer to the integer multiples of inherent frequency of projectile-fuze system,the acceleration overload exhibit the phenomenon of significantly increased peak,intensified oscillation,and severe signal adhesion.The research results provide the technical references for rapidly and effectively predicting the real response and overload characteristics of critical modules inside the fuze under the conditions of different projectile and target characteristics and evaluating its safety and reliability,and the integrated design and optimization of projectile and fuze.

Key words: projectile-fuze system, wave motion, vibration, nonlinear dynamic model, time-frequency domain characteristics

CLC Number:

O385
TJ43

ZHENG Zhuoyang, DONG Heng, WU Haijun, JIA Tongqing, YANG Guanxia, HUANG Fenglei. Nonlinear Dynamic Model and Response Characteristics of Penetration Projectile-fuze System[J]. Acta Armamentarii, 2025, 46(4): 240097-.

Figures/Tables 25

Fig.1 Schematic diagram of penetration projectile-fuze system

Fig.2 Overload transfer relationship of projectile-fuze system

Fig.3 Equivalent dynamic model of fuze structure

Fig.4 Dynamic response model of projectile-fuze system

Table 1 Physical characteristics of polyurethane material[18]

邵氏硬度/HA	密度/(g·cm^-3)	弹性模量/MPa
85	0.944	18.89

Fig.5 SHPB dynamic compression test of polyurethane material

Fig.6 Stress-strain relationship of polyurethane in different strain rates

Table 2 Dynamics model parameters of polyurethane

α/(N·m^-1)	β/(N·m^-1)	γ	d_e	g_∞	τ/s
8416570.60	1873.84	118.50	4.36	0.52	3.39×10^-4

Fig.7 Schematic diagram of geometry structure of projectile-fuze system

Fig.8 Resistance of penetrating a multi-layer spaced target

Fig.9 Finite element model of projectile-fuze system

Fig.10 Finite element model of concrete target

Table 3 Main parameters of polyurethane model

密度/ (g·cm^-3)	线性体积模量 /GPa	阻尼系数	剪切模量/ GPa	极限应力/ GPa
0.9443	4	0.1	0.04	1×10^-4

Table 4 Main parameters of material models

部件名称	密度/ (g·cm^-3)	弹性/剪切模量/GPa	泊松比
战斗部壳体	7.80	215.00	0.284
引信壳体	7.83	210.00	0.320
螺纹连接	7.80	3.26	0.284
PCB板	2.13	209.00	0.300
电子模块	1.30	110.00	0.340
传感器	2.70	56.20	0.330
模拟装药	1.70	5.00	0.320
混凝土靶板	2.18	12.70

Fig.11 Acceleration-time curves of of projectile-fuze system components

Fig.12 Schematic diagram of feature point selection

Fig.13 Power spectral density of acceleration signal of projectile-fuze system

Fig.14 Resistance of penetrating semi-infinite concrete target

Fig.15 Acceleration-time curves of projectile-fuze system components

Fig.16 Acceleration-time curves at different components

Table 5 Comparison of acceleration peaks of numerical simulation and dynamical model g

数值仿真	本文模型	本文模型偏差/%	刚性理论	刚性理论偏差/%
-8000	-7600	5.0	-4300	45.0

Fig.17 Comparison of the frequency spectral curves of numerically simulated and dynamical model results

Table 6 The relationship between projectile-target interaction frequency and natural frequency under different target spacings

靶板间隔/m	弹靶作用频率/Hz	1阶固有频率/ 弹靶作用频率	加速度峰值/g
3	174	5.46	-7663
2	284	3.41	-7585
1	500	1.90	-9617

Fig.18 The acceleration signal of electronic module and the corresponding spectral curve under the conditions of different spaced targets

Fig.19 Acceleration-time curves of electronic module under the conditions of different spaced target

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