近爆荷载下聚氯乙烯泡沫夹芯板的动力学模型研究

doi:10.12382/bgxb.2022.0729

摘要/Abstract

摘要：

为研究近爆荷载下聚氯乙烯(PVC)泡沫夹芯板动态响应,对PVC泡沫夹芯板变形的3个阶段进行分析,推导考虑面板局部化特征的变形挠曲面函数,建立了考虑面板和夹芯的弯矩和膜力效应对变形影响的单自由度刚塑性动力学模型。利用非线性数值计算软件,计算不同面板和夹芯厚度的PVC泡沫夹芯板在近爆荷载下的动态响应,分析面板变形和速度变化,验证了动力学模型中各阶段面板和夹芯的受力和运动情况。研究结果表明:建立的挠曲面函数能反映近爆荷载下面板的局部化特征,且在变形过程中面板的局部化程度不断减弱;基于动力学模型计算的面板中点挠度和速度时程曲线与数值计算结果较为吻合且面板中点挠度与实验结果误差较小,该动力学模型可以有效预测PVC泡沫夹芯板在近爆荷载下的动态响应。

关键词: 聚氯乙烯泡沫夹芯板, 近爆荷载, 动态响应, 动力学模型, 数值计算

Abstract:

Threedeformation stages of PVC foam sandwich panel are analyzed to study the dynamic response of polyvinyl chloride (PVC) foam sandwich panels under close-in blast loading. The deflection surface function is derived, which can reflect the localization characteristics of the panels under close-in blast loading. A single-degree-of-freedom rigid-plastic dynamics model is established, considering the effects of bending moment and membrane force on deformation of panels and core. The dynamic responses of PVC foam sandwich panels with different panel and core thicknesses under close-in blast loading are calculated using the nonlinear numerical calculation software, and the panel deformation and velocity variation are analyzed to verify the force and motion of the panels and core in each stage of the dynamic model. The result shows that the established deflection surface function can reflect the localization characteristics of panel under close-in blast loading, and the localization of panel decreases constinuously during the deformation process. The panel midpoint deflection and velocity-time curves based on the dynamics model fit well with the numerically calculated results, and the difference between the panel midpoint deflection and the experimental result is small. The dynamics model can be used to effectively predict the dynamic response of PVC foam sandwich panels under close-in blast loading.

Key words: PVC foam sandwich panel, close-in blast loading, dynamic response, dynamic model, numerical calculation

中图分类号:

O383

赵猛, 戴开达, 向召, 姜涛, 赵晓松, 徐豫新. 近爆荷载下聚氯乙烯泡沫夹芯板的动力学模型研究[J]. 兵工学报, 2023, 44(12): 3884-3896.

ZHAO Meng, DAI Kaida, XIANG Zhao, JIANG Tao, ZHAO Xiaosong, XU Yuxin. A Dynamics Model of PVC Foam Sandwich Panels under Close-in Blast Loading[J]. Acta Armamentarii, 2023, 44(12): 3884-3896.

图/表 19

图1 固支PVC泡沫夹芯板计算模型

Fig.1 Fully-clamped PVC foam sandwich panel calculation model

图2 夹芯板变形的3个阶段

Fig.2 Three stages of the deformation of sandwich panel

图3 面板变形数据与拟合曲线

Fig.3 Deformation data and fitted curves of panels

图4 坐标系

Fig.4 Coordinate systems

图5 PVC泡沫夹芯板动力学模型示意图

Fig.5 Schematic diagram of the dynamics model of PVC foam sandwich panel

图6 从2D模型向3D模型映射的过程

Fig.6 Procedure of mapping from 2D model to 3D model

表1 304不锈钢的Johnson-Cook参数[22]

Table 1 Johnson-Cook parameters of 304 stainless steel[22]

Johnson-Cook参数	数值	Johnson-Cook参数	数值
ρ/(kg·m^-3)	7900	c	0.07
K/GPa	166.7	m	1
G/GPa	77.0	T_r/K	293
A/MPa	310	T_m/K	1673
B/MPa	1000	ε/s^-1	1
n/	0.65

表2 PVC泡沫(H250)的材料参数[13]

Table 2 Material properties of PVC foam (H250)[13]

参数	数值	参数	数值
密度/(kg·m^-3)	250	拉伸模量/MPa	320
压缩强度/MPa	7.2	剪切强度/MPa	4.5
压缩模量/MPa	400	剪切模量/MPa	97
拉伸强度/MPa	9.2

图7 PVC泡沫(H250)在不同应变率单轴压缩下的应力-应变曲线[13]

Fig.7 Stress-strain curves of PVC foam(H250) under uniaxial compression at different strain rates[13]

表3 有限元模拟工况[14]

Table 3 Finite element modelling conditons[14]

工况	前面板厚度/mm	后面板厚度/mm	夹芯	夹芯厚度/ mm	面板尺寸/ mm	面密度/ (kg·m^-2)
USP-1	1.38	1.38	H250	14	300 × 288	25.17
USP-2	0.9	1.38	H250	14	300 × 288	21.40
USP-3	1.8	1.38	H250	14	300 × 288	28.46
USP-4	1.38	0.9	H250	14	300 × 288	21.40
USP-5	1.38	1.8	H250	14	300 × 288	28.46
USP-6	1.38	1.38	H250	9	300 × 288	23.92
USP-7	1.38	1.38	H250	20	300 × 288	26.67

图8 夹芯板USP-3工况实验与数值变形/ 失效模式之间的比较〗

Fig.8 Comparison between the experimental and numerical deformation/failure patterns of sandwich panel USP-3

图9 面板的实验和数值中点挠度的比较

Fig.9 Comparisons between the experimental and numerical midpoint deflections of panel

图10 爆炸产物-结构相互作用和面板变形的典型过程

Fig.10 Typical processes of explosion product-structure interaction and panel deformation

图11 USP-1工况前面板在200μs时的变形数据与拟合曲线

Fig.11 Deformation data and fitted curve of USP-1’s front panel at 200μs

表4 变形数据的拟合结果

Table 4 Fitted results of deformation data

时间/μs	24	42	80	140	200	280
θ	716.0	189.6	57.9	30	17.7	12.1

图12 USP-1工况夹层板中点的速度历史曲线

Fig.12 Velocity-time curve atf the midpoint of USP-1 panel

图13 夹层板中点的速度时程曲线

Fig.13 Velocity-time curve at the midpoint of panel

图14 USP-1理论计算结果和数值计算结果对比

Fig.14 Comparison of calculated results and finite element simulated results of USP-1

表5 理论计算结果和实验结果对比

Table 5 Comparison of theoretically calculated and experimental results

况	前面板中点挠度/mm			后面板中点挠度/mm
况	实验结果	计算结果	相对误差/%	实验结果	计算结果	相对误差/%
USP-1	21.74	21.64	0.46	24.56	22.30	9.20
USP-2	26.06	29.14	11.82	26.89	25.60	4.80
USP-3	17.74	18.01	1.52	18.38	20.04	9.03
USP-4	23.52	24.26	3.15	24.62	27.70	12.51
USP-5	21.20	20.09	5.24	20.64	18.88	8.53
USP-6	20.70	22.50	8.70	24.18	24.74	2.32
USP-7	24.00	20.68	13.83	19.08	19.18	0.52

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