Shock response failure analysis method for shipborne equipment under implosion load

Table 1. Materia parameters of ship cabin
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Table 1. Materia parameters of ship cabin
参数数值参数数值
$\rho /({\text{kg} }\cdot{ {\text{m} }^{-\text{3} } })$ 7 800 ${E_{\rm{t}}}/{\text{MPa} }$ 250
$ E/{\text{GPa}} $ 210 $ C $ 40.4
$ \nu $ 0.3 $ P $ 5.0
$ {\sigma _0}/{\text{MPa}} $ 235

Table 2. Air parameters
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Table 2. Air parameters
参数数值
$\rho /({\text{kg} }\cdot{ {\text{m} }^{-\text{3} } })$ 1.292 9
$ {C_4} $ 0.4
$ {C_5} $ 0.4
$ {E_0}/{\text{Pa}} $ 2.5×105
$ {V_{0{\rm{air}}}} $ 1.0

Table 3. Parameters of explosive material

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Table 3. Parameters of explosive material

参数	数值	参数	数值
$\rho $/(kg·m−3)	1 658	$ {R_1} $	4.15
${D_{\rm{CJ}} }$/(m·s−1)	6 930	$ {R_2} $	0.9
${P_{\rm{CJ}} }/{\text{GPa} }$	21	$ {\omega _0} $	0.35
$ A/{\text{GPa}} $	373.77	$ {E_0}/{\text{GPa}} $	6.0
$ B/{\text{GPa}} $	3.73471

Table 4. Calculation cases
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Table 4. Calculation cases
工况编号爆点坐标/m TNT当量/kg 备注
1 (0，−0.5，0) 100 船舯货舱
2 (0，−5.5，4.5) 船舯双层底舷侧
3 (21，−4，0) 船艉主机舱

Table 5. Maximum value of shock response spectrum frequency band at different measuring points

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Table 5. Maximum value of shock response spectrum frequency band at different measuring points

测点	低频段（1～10 Hz）			中频段(10 ～300 Hz)
测点	位移/cm	速度/(m·s^-1)	加速度/g	位移/cm	速度/(m·s^-1)	加速度/g
A1-1	2.98E+00	1.28E+00	8.22E+00	2.19E+00	4.40E+00	3.53E+02
A2-1	5.87E+00	1.23E+00	7.86E+00	1.95E+00	4.61E+00	4.93E+02
A2-2	4.05E+00	9.50E−01	6.09E+00	1.93E+00	7.69E+00	4.80E+02
A3-1	2.73E+00	4.30E−01	2.76E+00	1.55E+00	5.64E+00	5.00E+02
A3-2	3.69E+00	9.91E−01	6.35E+00	2.47E+00	6.84E+00	8.20E+02
A3-3	4.21E+00	1.03E+00	6.61E+00	1.94E+00	6.21E+00	7.22E+02
A3-4	6.60E+00	1.15E+00	7.39E+00	2.78E+00	8.14E+00	7.82E+02
A3-5	4.57E+01	1.17E+01	7.81E+01	2.27E+01	5.30E+01	3.13E+03
A3-6	6.35E+00	1.21E+00	7.75E+00	2.71E+00	1.12E+01	1.29E+03
A3-7	5.18E+00	8.45E−01	5.42E+00	3.09E+00	8.82E+00	1.27E+03
AB1-1	3.96E+00	7.87E−01	5.04E+00	1.72E+00	5.73E+00	8.51E+02
AB1-2	3.29E+00	5.83E−01	3.74E+00	1.71E+00	5.11E+00	7.38E+02
AB1-3	3.13E+00	5.26E−01	3.37E+00	1.52E+00	5.39E+00	5.54E+02
AB1-4	5.45E+00	6.82E−01	4.37E+00	2.59E+00	8.57E+00	1.03E+03
AB1-5	3.98E+00	5.68E−01	3.64E+00	2.31E+00	6.70E+00	7.33E+02
AB1-6	5.22E+00	8.42E−01	5.40E+00	2.34E+00	7.18E+00	7.91E+02
AB2-1	3.27E+00	5.36E−01	3.44E+00	1.32E+00	5.32E+00	7.62E+02
AB2-2	5.54E+00	5.83E−01	3.74E+00	1.97E+00	7.15E+00	7.44E+02
AB2-3	2.95E+00	3.57E−01	2.29E+00	1.59E+00	5.68E+00	7.47E+02

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Zeheng DONG, Fangyun LU, Xiangyu LI. Shock response failure analysis method for shipborne equipment under implosion load[J]. Chinese Journal of Ship Research, 2023, 18(5): 173

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