Simulation Study of Axial Vibration of Graded Projectile Structure

doi:10.12382/bgxb.2024.0500

Abstract

Abstract:

During the penetration process, a projectile vibrates to reduce its destructive power. The gradient materials are used for the design of projectiles, and the research on vibration reduction is made. Based on the theory of axial vibration in graded beams, the axial vibration frequency characteristics of graded projectiles are analyzed. The axial vibration natural frequencies of graded projectiles are obtained by using the numerical simulation methods, and the simulated results are compared with the theoretical results for analysis. The reasons for the deviation between the simulated and theoretical results are summarized. The dominant vibration modes of graded projectiles and homogeneous projectiles at different locations are studied, and their buckling modes are analyzed. The research results show that the graded projectiles primarily exhibit a first-order vibration mode with a limited number of modes. Both their first- and second-order resonance frequencies are lower than those of homogeneous projectiles, and the graded and homogeneous projectiles undergo the first- and second-order bucklings. The research findings can provide insights into addressing the issue of vibration-induced instability during projectile penetration.

Key words: graded projectile, axial vibration, numerical simulation, vibration mode

CLC Number:

TJ430

WANG Qingshuo, GUO Lei, GAO Hongyin, HE Yuan, WANG Chuanting, CHEN Pengxiang, HE Yong. Simulation Study of Axial Vibration of Graded Projectile Structure[J]. Acta Armamentarii, 2024, 45(S1): 191-199.

Figures/Tables 19

Fig.1 Configuration of gradient structure of graded projectile

Table 1 Structural parameters of projectile

CRH	长径比	长度/mm	直径/mm
3	8	96	12

Table 2 Parameter setting of graded and homogeneous projectiles

弹体类型	E₁/GPa	E₂/GPa	E₃/GPa	E₄/GPa
梯度弹	240	230	220	210
均质弹	210	210	210	210

Table 3 Parameters of H-J-C constitutive model for concrete materials[19]

ρ/ (kg·m^-3)	G/GPa	A	B	C	N	f_c/ MPa
2 400	14.86	0.79	1.6	0.007	0.61	60
T/MPa	D₁	D₂	p_crush/GPa	μ_crush	p_lock/GPa	μ_lock
4	0.04	1	0.016	0.001	0.8	0.1

Fig.2 1/4 model of projectile and target

Fig.3 Acceleration versus time in the direction of projectile penetration

Fig.4 Velocity-time curve of projectile

Fig.5 The first eight order modes of projectile

Fig.6 Analyzed Rresults of the first 20 order modes in the analysis of the two types of projectile modes

Fig.7 Deformations of two types of projectiles

Fig.8 Location map of feature nodes

Table 4 Comparison of the theoretical values and analyzed results of harmonic response of graded projectile

阶数	理论值/kHz	谐响应分析/kHz	偏差/%
1	14.1	15.1	7.1
2	42.2	45.1	6.9

Table 5 Comparison between the theoretical model of gradient elasticity and the results of harmonic response analysis

阶数	理论值/kHz	谐响应分析/kHz	偏差/%
1	13.4	14.4	7.4
2	41.4	44.3	7.0

Fig.9 Overload-frequency curve of axial acceleration at each position of homogeneous projectile

Fig.10 Overload-frequency curve of axial acceleration at each position of graded projectile

Fig.11 The first six-order buckling modes of homogeneous projectile

Fig.12 The first six-order buckling modes of graded projectile

Table 6 The first 15-order buckling critical loads of homogeneous projectile

模态阶数	屈曲临界载荷/kN	模态阶数	屈曲临界载荷/kN	模态阶数	屈曲临界载荷/kN
1	77.64	6	1 710.10	11	5 599.10
2	77.64	7	2 996.90	12	5 599.10
3	668.55	8	2 996.90	13	6 727.20
4	668.55	9	4 338.10	14	6 727.20
5	1 710.10	10	4 338.10	15	7 748.00

Table 7 The first 15-order buckling critical loads of graded projectile

模态阶数	屈曲临界载荷/kN	模态阶数	屈曲临界载荷/kN	模态阶数	屈曲临界载荷/kN
1	68.28	6	1 557.30	11	5 133.80
2	68.28	7	2 723.60	12	5 133.80
3	607.35	8	2 723.60	13	6 185.50
4	607.35	9	3 963.70	14	6 185.50
5	1 557.30	10	3 963.70	15	7 115.30

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