Dynamic Model Uncertain Parameter Identification for A Curved Chain Rotary Shell Magazine

doi:10.12382/bgxb.2022.1196

Abstract

Abstract:

To accurately simulate the nonlinear dynamics of a curved chain rotary shell magazine during the delivery of ammunition, a dynamic model containing uncertain parameters is established according to the system topology and control principle. An uncertain parameter identification model for the dynamic model is developed based on the system test data using the optimization design idea. A functional time series similarity is proposed as the identification criterion. The high-dimensional model representation based on the radial basis function and the radial basis function are used to construct the surrogate models from the uncertain parameters of the mechanical and control systems to the identification criterion, respectively. The sparrow search algorithm is embedded into an island model for multi-population structuring to form an island sparrow search algorithm for optimization. The uncertain parameters of the mechanical and control systems are identified successively by taking the test data of working condition 1 as the benchmark. The results show that the outputs of the identified dynamic model for the two operating conditions are similar to the test data, which verifies the accuracy of modelling and the validity of identification, and provides a reliable sample data source for action reliability analysis and fault diagnosis research.

Key words: curved chain rotary shell magazine, parameter identification, functional time series similarity, island sparrow search algorithm, high dimensional surrogate model

CLC Number:

TJ303⁺.3

WEN Hao, HOU Baolin, LIN Yubin, JIN Xin. Dynamic Model Uncertain Parameter Identification for A Curved Chain Rotary Shell Magazine[J]. Acta Armamentarii, 2024, 45(5): 1460-1471.

Figures/Tables 17

Fig.1 Structure of curved chain rotary shell magazine

Fig.2 Dynamic model ofcurved chain rotary shell magazine

Fig.3 Topology of island model

Fig.4 Uncertain parameter identification model

Fig.5 Sensors for test and ammunition loading

Fig.6 Test results ofworking condition 1

Fig.7 Test results of working condition 2

Fig.8 Functionalization results of the test data of working condition 1

Table 1 Range ofuncertain parameters of mechanical system

序号	不确定参数	下界	上界
1	K₁/(N·mm^-1)	487000	489000
2	μ₁	-0.02	0.02
3	K₂/(N·mm^-1)	279000	280000
4	μ₂	-0.02	0.02
5	K₃/(N·mm^-1)	506000	507000
6	μ₃	-0.03	0.03
7	μ₄	-0.03	0.03
8	T_c/(N·mm)	860	1000
9	T_v/(N·mm·s·rad^-1)	2.1	2.3
10	η	0.97	0.99

Fig.9 Surrogate models of uncoupled items

Fig.10 Surrogate models of two-variable coupling items

Fig.11 Convergence curve

Table 2 Identification results of uncertain parameters of mechanical system

不确定参数	辨识值
不确定参数	SSA (W=100)	SSA (W=500)	ISSA (N_I=5, W=100)
K₁/(N·mm^-1)	488313	487459	488923
μ₁	0.0005	-0.0135	0.0018
K₂/(N·mm^-1)	279606	279816	279806
μ₂	-0.0133	0.0164	-0.0094
K₃/(N·mm^-1)	506565	506038	506202
μ₃	0.0023	0.0024	0.0285
μ₄	-0.0061	0.0126	0.0065
T_c/(N·mm)	872.9868	912.2555	872.2174
T_v/(N·mm·s·rad^-1)	2.1946	2.1840	2.1390
η	0.9712	0.9754	0.9788

Fig.12 Comparison of identification curves and test curve of cartridge angular velocity

Table 3 Range of uncertain parameters of control system

序号	不确定参数	下界	上界
1	ξ₁	400	600
2	ξ₂	2.3	3.5
3	ξ₃	0.02	0.04

Fig.13 Comparison of identificarion curves and test curves of working condition 1

Fig.14 Comparison of simulation curves and test curvesof working condition 2

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