Analysis of Non-stationary Characteristics of Corrugated Sandwich Panels under Moving Random Load

doi:10.12382/bgxb.2024.0442

Abstract

Abstract:

A general dynamic analytical model is proposed to study the non-stationary vibration of corrugated sandwich panels under moving random load.The governing differential equation of a single cell unit is derived by using a simplified first-order shear deformation theory and Hamilton principle.Based on the reverberation-ray matrix method and the pseudo excitation method,the recursive technique is introduced to effectively simulate the global response of the whole structure under moving random loads.In addition,a unified loading mechanism for moving random loads is proposed by dividing the continuous load moving process into three stages,and the accuracy of the calculation model is verified by finite element simulation software.Then the calculated results are compared with the simulation data of the finite element software.The findings indicate that the Bragg band gap of the structure can be effectively widened by adjusting the thickness and inclination angle of the corrugated sandwich panel.The low-velocity moving random loads will cause more vibration behaviors within the action time;The study can provide theoretical support for the design and optimization of corrugated sandwich panels under complex load conditions,and offers the valuable insights for the development of related equipment in aerospace and marine engineering.

Key words: corrugated sandwich, modal damping, reverberation-ray matrix method, moving random load, non-stationary response

CLC Number:

TJ03
TJ85

LI Bo, SHAO Dong, CAO Yuan, LIANG Weige. Analysis of Non-stationary Characteristics of Corrugated Sandwich Panels under Moving Random Load[J]. Acta Armamentarii, 2025, 46(7): 240442-.

Figures/Tables 11

Fig.1 Triangular corrugated sandwich structure

Fig.2 The dynamic solving process of corrugated sandwich panels

Fig.3 The coupling modeling and solving process of MRRM

Fig.4 The first-order vibration mode of corrugated sandwich panels under different boundary conditions

Table 1 The first seven natural frequencies of corrugated sandwich panels under different boundary conditions Hz

边界条件	敷层角度	固有频率
边界条件	敷层角度	1	2	3	4	5	6	7
CCFF	[0°/90°]	30.57 (30.60)	32.51 (32.18)	40.90 (40.93)	72.42 (72.27)	75.82 (75.72)	77.38 (77.40)	82.70 (82.92)
	误差/%	0.10	1.01	0.07	0.20	0.13	0.02	0.26
	[0°/90°/0°]	32.05 (32.16)	35.75 (35.82)	41.92 (41.61)	45.39 (45.44)	69.36 (69.43)	75.44 (75.52)	85.83 (87.19)
	误差/%	0.28	0.19	0.07	0.11	0.11	0.10	1.52
CCCC	[0°/90°]	31.66 (32.18)	40.91 (40.92)	77.35 (77.40)	85.05 (84.34)	88.75 (88.83)	97.96 (97.91)	118.57(120.67)
	误差/%	1.64	0.02	0.06	0.83	0.09	0.05	1.74
	[0°/90°/0°]	33.52 (34.13)	39.09 (38.34)	45.38 (45.44)	71.41 (70.91)	75.46 (75.52)	97.28 (97.39)	102.03(101.87)
	误差/%	1.81	1.91	0.13	0.70	0.07	0.11	0.15

Fig.5 Validation of dynamic response under moving loads

Table 2 Calculation time and errors of different mesh numbers

计算方法	网格数量	计算时间/s	相对误差
有限元方法	120000	728	-
	30000	228	0.059
	19200	155	0.234
	13872	122	0.673
	8112	53	0.921
本文方法	-	7.3	0.351

Fig.6 Effects of different thicknesses on the characteristics of band gap

Fig.7 Effect of corrugated core inclination angle on the band gap characteristics of structure

Fig.8 Influence of frequency range on time-varying RMS under moving random loads(v0=100m/s)

Fig.9 Evolution of PSD response of corrugated sandwich panels under moving random load

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