The Positioning Accuracy of Ammunition Coordination Considering the Uncertainty of Dynamic Loads

doi:10.12382/bgxb.2024.0658

Abstract

Abstract:

To analyze the impact of uncertain input parameters on the precision of coordination in the dynamic random process of ammunition coordination, the propagation of dynamic uncertainty in the process of ammunition coordination is studied based on the direct probability integral method (DPIM). A rigid-flexible coupling dynamic model of ammunition coordination mechanism is established, and the probability density integral equation of the coordination process is derived. The Karhunen-Loeve (K-L) expansion method is employed to reduce the dimensionality of dynamic random driving load, thus quantificatying the uncertainty in the positioning angle of ammunition coordination arm under dynamic uncertainty conditions based on DPIM. Comparisons with experimental results indicate that the simulation output of the ammunition coordination positioning aligns basically with the experimental test results, which validates the accuracy of the proposed model. Additionally, the probability density function obtained using the DPIM method shows a smaller error, which confirms the effectiveness of the new method. The coordination positioning results under the effects of dynamic random loads and uncertain parameters demonstrate that the K-L method effectively reduces the dimensionality of dynamic random loads in the coordination process, with positioning errors increasing as the coordination angle increases. The computational results provide strong support for the reliability design of automatic ammunition loading system.

Key words: ammunition coordination mechanism, direct probability integration, Karhunen-Loeve expansion, dynamic uncertainty propagation

CLC Number:

TJ302

ZHANG Yuntian, CHEN Longmiao, CHEN Guangsong, WANG Mingming. The Positioning Accuracy of Ammunition Coordination Considering the Uncertainty of Dynamic Loads[J]. Acta Armamentarii, 2024, 45(11): 4052-4061.

Figures/Tables 13

Fig.1 Simplified model of ammunition coordination mechanism

Fig.2 Schematic diagram of ramming coordination test

Fig.3 Path planning in coordination process

Fig.4 Experimental coordination angular displacement-time curve

Fig.5 Simulation curves of coordination process

Table 1 Uncertainty parameters in the ammunition coordination process

序号	参数名	名义值	特征值	分布类型
1	驱动齿轮与齿弧的接触刚度/(N·m^-1)	7.38×10⁵	5×10⁴	正态
2	驱动齿轮与齿弧的间隙/mm	0	0.01	均匀
3	齿弧与耳轴的径向间隙/mm	0	0.01	均匀
4	协调臂总质量(含弹丸)/kg	100	0.1	正态
5	协调臂转动惯量(含弹丸)/(kg·mm²)	5.67×10⁶	5×10⁵	正态

Fig.6 Comparison of probability distributions of positioning angles of MC and DPIM in place angles

Table 2 Statistical characteristics of coordination angles of ammunition

均值			均方差
MC	DPIM	误差	MC	DPIM	误差
60.0042	60.0041	1.67×10^-4%	9.0413×10^-4	8.8674×10^-4	1.92%

Fig.7 Schematic diagram of a randomly driven load coordinated at 65 °

Fig.8 First 15 eigenvalues result of K-L expansion

Fig.9 Probability density function results for coordination at 35° under random driving load

Fig.10 Probability density function results for coordination at 65° under random driving load

Table 3 Statistical characteristics of coordinated dynamic angular displacement of ammunition

协调到位35°					协调到位65°
时间/s		均值		均方差	时间/s		均值		均方差
0.30	19.932		0.0018		0.300	22.081		0.0014
0.50	32.2407		2.04×10^-4		0.500	45.094		8.05×10^-4
0.65	35.0091		0.001		0.765	65.0196		0.0047

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