Inversion method for tire impact load characteristics based on Green's function

参数	数值
总长/m	7.2
总宽/m	3.6
板厚/m	0.016
纵板厚/m	0.6
横梁间距/m	1.2
纵骨（长×宽×厚）/m	7.2×0.2×0.01
横梁（长×宽×厚）/m	3.6×0.2×0.01
强横梁（长×宽×厚）/m	3.6×0.5×0.01

Table 2. Material parameters of tire components

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Table 2. Material parameters of tire components

材料名称	Yeoh 模型材料参数			杨氏模量/MPa	ν	ρ/($ \mathrm{t}\cdot{\mathrm{m}\mathrm{m}}^{-3} $)
材料名称	$ {C}_{10} $	$ {C}_{20} $	$ {C}_{30} $	杨氏模量/MPa	ν	ρ/($ \mathrm{t}\cdot{\mathrm{m}\mathrm{m}}^{-3} $)
胎面胶	0.658165	−0.09507	0.026315	−	−	$ 1.13\times {10}^{-9} $
胎侧胶	0.378013	−0.06452	0.012688	−	−	$ 1.09\times {10}^{-9} $
带束层胶	1.07926	−0.07821	0.033738	−	−	$ 1.18\times {10}^{-9} $
胎体胶	1.09219	−0.12703	0.049518	−	−	$ 1.18\times {10}^{-9} $
帘布层	−	−	−	9870	0.3	$ 1.50\times10^{-9} $
带束层	−	−	−	172200	0.3	$ 5.90\times10^{-9} $
轮辋	−	−	−	210000	0.3	$ 7.85\times {10}^{-9} $

Table 3. Relative errors at different response points
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Table 3. Relative errors at different response points
响应相对误差/%
点1 点2 点3 点4 点5 点6
应变 1.49 1.51 1.58 1.56 1.64 1.45
位移 1.57 1.53 1.57 1.54 1.61 1.52
速度 1.82 1.66 2.63 1.72 1.87 1.73
加速度 10.25 10.72 11.64 9.62 12.21 10.92

Table 4. Working conditions
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Table 4. Working conditions
工况1_凸型分布工况2_马鞍型分布工况3_凹型分布
胎压/ MPa 载荷/ N 胎压/ MPa 载荷/ N 胎压/ MPa 载荷/ N
0.3 14 640 0.25 21 616 0.2 30 815

Table 5. Relative errors of convex wheel impact load inversion
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Table 5. Relative errors of convex wheel impact load inversion
载荷作用点
F1 F2 F3 F4 F5 F6 F7 F8 F9
相对误差/% 3.44 1.15 1.57 1.16 1.39 2.10 2.67 2.35 3.81

Table 6. Relative errors of saddle wheel impact load inversion
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Table 6. Relative errors of saddle wheel impact load inversion
载荷作用点
F1 F2 F3 F4 F5 F6 F7 F8 F9
相对误差/% 2.23 3.61 3.08 1.58 2.25 3.77 1.81 3.09 3.57

Table 7. Relative errors of concave wheel impact load inversion
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Table 7. Relative errors of concave wheel impact load inversion
载荷作用点
F1 F2 F3 F4 F5 F6 F7 F8 F9
相对误差/% 2.97 1.17 1.04 1.13 1.82 1.78 2.39 2.65 3.14

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Guijie SHI, Qiang LI, Deyu WANG. Inversion method for tire impact load characteristics based on Green's function[J]. Chinese Journal of Ship Research, 2025, 20(3): 165

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