Study of similarity characteristic for the buckling process of box girders subjected to bending load

失效模式	失效特征
模式1	板和加强筋整体屈曲后整体失效
模式2	由加强筋之间的板角屈服引起的板致破坏
模式3	板−加筋肋组合在跨中屈服引起的板致破坏
模式4	加筋肋腹板局部屈曲引起的加筋肋失效
模式5	加筋肋侧扭屈曲引起的加筋肋失效

Table 2. Boundary of box girder model
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Table 2. Boundary of box girder model
Ux Uy Uz URx URy URz
注：URy设置为0.1（或−0.1）表示施加0.1 rad的初始转角（右手定则，顺时针为正）。
RP1 × × × × −0.1 ×
RP2 × × × 0.1 ×

Table 3. Dimensions of scaled models and prototype of box girders in same materials
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Table 3. Dimensions of scaled models and prototype of box girders in same materials
箱型梁 a b t h_w t_w h_c t_c
BG-1-P 600 400 4.0 60.0 3 120.0 8
BG-1-M 297 200 2.0 27.3 2 54.6 4
BG-2-P 500 400 8.0 40.0 5 80.0 10
BG-2-M 249 200 4.0 18.7 3 37.4 6
BG-3-P 600 400 5.0 96.0 15 192.0 30
BG-3-M 297 200 2.5 47.2 8 94.4 16

Table 4. Ultimate bending load of box girders

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Table 4. Ultimate bending load of box girders

箱型梁模型	M_u-FEM/(N·mm)	M_u-FORM/(N·mm)	$\dfrac{ { {\boldsymbol{M} } }_{\rm u-FEM} }{Ah{\sigma }_{\rm y} }$	误差/%
BG-1-P	1.25×109		2.564
BG-1-M	1.65×108	1.64×108	2.581	0.63
BG-2-P	3.33×109		3.471
BG-2-M	4.18×108	4.19×108	3.463	0.24
BG-3-P	2.70×109		2.788
BG-3-M	3.44×108	3.45×108	2.784	0.14

Table 5. Dimensions of scaled models and prototype of box girders with different materials

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Table 5. Dimensions of scaled models and prototype of box girders with different materials

	a	b	t	h_w	t_w	h_c	t_c
BG-1-P	600	400.0	4.0	60.0	3	120.0	8
BG-1-Q345	243	165.2	2.0	25.7	2	51.4	4
BG-1-Q460	208	143.0	2.0	24.5	2	49.0	4
BG-1-Q550	189	130.7	2.0	23.8	2	47.6	4
BG-1-Q690	169	117.0	2.0	23.0	2	46.0	4
BG-2-P	500	400.0	8.0	40.0	5	80.0	10
BG-2-Q345	213	165.1	4.0	17.5	3	35.0	6
BG-2-Q460	184	143.0	4.0	16.6	3	33.2	6
BG-2-Q550	169	130.7	4.0	16.1	3	32.2	6
BG-2-Q690	143	117.0	4.0	15.5	3	31.0	6
BG-3-P	600	400.0	5.0	96.0	15	192.0	30
BG-3-Q345	243	165.1	2.5	44.8	8	89.6	16
BG-3-Q460	208	143.0	2.5	43.1	8	86.2	16
BG-3-Q550	189	130.7	2.5	42.1	8	84.2	16
BG-3-Q690	158	117.0	2.5	40.9	8	81.8	16

Table 6. Ultimate bending load of box girders

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Table 6. Ultimate bending load of box girders

箱型梁模型	M_u-FEM/(N·mm)	M_u-FORM/(N·mm)	$\dfrac{ {\boldsymbol{M} }_{\rm u-FEM} }{Ah{\sigma }_{\rm y} }$	误差/%
BG-1-P	1.25×109		2.564
BG-1-Q345	1.68×108	1.67×108	2.568	0.12
BG-1-Q460	1.68×108	1.70×108	2.537	1.09
BG-1-Q550	1.70×108	1.71×108	2.558	0.27
BG-1-Q690	1.73×108	1.74×108	2.550	0.57
BG-2-P	3.33×109		3.471
BG-2-Q345	4.21×108	4.23×108	3.455	0.48
BG-2-Q460	4.24×108	4.26×108	3.453	0.53
BG-2-Q550	4.27×108	4.28×108	3.467	0.11
BG-2-Q690	4.31×108	4.33×108	3.456	0.42
BG-3-P	2.70×109		2.788
BG-3-Q345	3.64×108	3.67×108	2.761	0.95
BG-3-Q460	3.88×108	3.86×108	2.800	0.43
BG-3-Q550	3.91×108	3.99×108	2.729	2.14
BG-3-Q690	4.13×108	4.18×108	2.754	1.21

Table 7. Ultimate bending load of box girders

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Table 7. Ultimate bending load of box girders

	初始变形因子k_w	原型	缩比模型		误差/%
	初始变形因子k_w	M_u-p-FEM/(N·mm)	M_u-m-FEM/(N·mm)	M_u-m-FORM/(N·mm)	误差/%
BG-1	0.1	1.26×10⁹	1.62×10⁸	1.60×10⁸	1.06
	0.2	1.23×10⁹	1.59×10⁸	1.57×10⁸	1.00
	0.3	1.21×10⁹	1.56×10⁸	1.55×10⁸	1.11
	0.4	1.19×10⁹	1.53×10⁸	1.52×10⁸	0.42
	0.5	1.17×10⁹	1.51×10⁸	1.50×10⁸	0.57
BG-2	0.1	3.33×10⁹	4.16×10⁸	4.19×10⁸	0.71
	0.2	3.21×10⁹	4.02×10⁸	4.05×10⁸	0.61
	0.3	3.15×10⁹	3.96×10⁸	3.97×10⁸	0.32
	0.4	3.11×10⁹	3.92×10⁸	3.91×10⁸	0.06
	0.5	3.08×10⁹	3.88×10⁸	3.88×10⁸	0.11
BG-3	0.1	2.82×10⁹	3.56×10⁸	3.60×10⁸	0.94
	0.2	2.80×10⁹	3.56×10⁸	3.57×10⁸	0.41
	0.3	2.78×10⁹	3.54×10⁸	3.55×10⁸	0.23
	0.4	2.76×10⁹	3.52×10⁸	3.52×10⁸	0.03
	0.5	2.74×10⁹	3.50×10⁸	3.49×10⁸	0.16

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Weicheng FU, Zhongquan LIU, Xiangshao KONG, Hu ZHOU, Weiguo WU. Study of similarity characteristic for the buckling process of box girders subjected to bending load[J]. Chinese Journal of Ship Research, 2023, 18(3): 173

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Paper Information

Category: Ship Structure and Fittings

Received: Oct. 8, 2021

Accepted: --

Published Online: Mar. 20, 2025

The Author Email:

DOI:10.19693/j.issn.1673-3185.02551

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. The buckling modes of stiffener plate under axial compression load[19]

Table 1. The buckling modes of stiffener plate under axial compression load[19]

Table 2. Boundary of box girder model

Table 2. Boundary of box girder model

Table 3. Dimensions of scaled models and prototype of box girders in same materials

Table 3. Dimensions of scaled models and prototype of box girders in same materials

Table 4. Ultimate bending load of box girders

Table 4. Ultimate bending load of box girders

Table 5. Dimensions of scaled models and prototype of box girders with different materials

Table 5. Dimensions of scaled models and prototype of box girders with different materials

Table 6. Ultimate bending load of box girders

Table 6. Ultimate bending load of box girders

Table 7. Ultimate bending load of box girders

Table 7. Ultimate bending load of box girders

Table 1. The buckling modes of stiffener plate under axial compression load^[19]

Table 1. The buckling modes of stiffener plate under axial compression load^[19]