Rapid determination method of minimum stable topological plate thickness in topology optimization of complex hull structures

t_d/mm	C_vf	设计域拓扑优化单元密度云图	拓扑优化结果（x=0.3）
注：设计域拓扑优化单元密度云图中，蓝色区域的单元为低密度单元（0~0.1），红色区域的单元为高密度单元（0.9~1），单元密度值越高越接近于红色。
15	0.32
20	0.21
23（taver）	0.17
25	0.14
30	0.10
35	0.07
40	0.04

Table 2. Topology optimization results with different thickness of design domain under the same volume fraction constraint (C_vf = 0.17)
View table
View in Article
Table 2. Topology optimization results with different thickness of design domain under the same volume fraction constraint (C_vf = 0.17)
t_d/mm 设计域拓扑优化单元相对密度云图拓扑优化结果（x=0.3）
15
20
23（taver）
25
30
35
40

Table 3. Topology optimization results of different plate thicknesses of design domain in the load case of A1_HSM1_S
View table
View in Article
Table 3. Topology optimization results of different plate thicknesses of design domain in the load case of A1_HSM1_S
t_d/mm 设计域拓扑优化单元相对密度云图最终迭代步设计域等效应力分布云图设计域应力最大值/MPa
10 379
15 291
20 226
25 241
40 164

Table 4. Topology optimization results of different plate thicknesses of design domain in the load case of A2_BSR1P_S
View table
View in Article
Table 4. Topology optimization results of different plate thicknesses of design domain in the load case of A2_BSR1P_S
t_d/mm 设计域拓扑优化单元相对密度云图最终迭代步设计域等效应力分布云图设计域应力最大值/MPa
10 371
15 272
22 262
23 253
24 235
40 172

Table 5. Statistics of different plate thicknesses of design domain under four load cases

View table

View in Article

Table 5. Statistics of different plate thicknesses of design domain under four load cases

工况	设计域板厚X/mm	单元数量
工况	设计域板厚X/mm	num_port_X	num_mid_X	w_port_X	w_mid_X
注：min表示该设计域板厚为经本文构型识别法确定的该工况下强框架设计域最小稳定拓扑板厚。
A1_HSM1_S	10	15	780	0.16	1.46
	14	30	742	0.33	1.39
	15（min）	36	728	0.39	1.36
	16	38	746	0.41	1.40
	20	47	686	0.51	1.28
	23	54	656	0.59	1.23
	40	92	534	1.00	1.00
A1_FSM2_H	10	28	674	0.10	−
	15	40	587	0.14	−
	23	227	170	0.79	−
	24（min）	267	4	0.93	−
	25	274	2	0.95	−
	40	287	0	1.00	−
A2_BSR1P_S	16	0	776	0.00	3.46
	22	169	332	0.78	1.48
	23（min）	186	250	0.86	1.12
	24	202	234	0.94	1.04
	40	216	224	1.00	1.00
A2_HSM1_S	10	172	336	0.65	3.23
	11（min）	242	134	0.92	1.29
	12	245	124	0.93	1.19
	15	250	120	0.95	1.15
	23	270	106	1.03	1.02
	40	263	104	1.00	1.00

Tools

Get Citation

Copy Citation Text

Junxia ZHU, Jiameng WU, Yachong LIU, Mingxing GAO. Rapid determination method of minimum stable topological plate thickness in topology optimization of complex hull structures[J]. Chinese Journal of Ship Research, 2021, 16(6): 159

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites

Paper Information

Category: Ship Structure and Fittings

Received: Aug. 2, 2020

Accepted: --

Published Online: Mar. 28, 2025

The Author Email:

DOI:10.19693/j.issn.1673-3185.02055

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Topology optimization results of transverse web frame constrained by different plate thickness of design domain and corresponding volume fraction

Table 1. Topology optimization results of transverse web frame constrained by different plate thickness of design domain and corresponding volume fraction

Table 2. Topology optimization results with different thickness of design domain under the same volume fraction constraint (Cvf = 0.17)

Table 2. Topology optimization results with different thickness of design domain under the same volume fraction constraint (Cvf = 0.17)

Table 3. Topology optimization results of different plate thicknesses of design domain in the load case of A1_HSM1_S

Table 3. Topology optimization results of different plate thicknesses of design domain in the load case of A1_HSM1_S

Table 4. Topology optimization results of different plate thicknesses of design domain in the load case of A2_BSR1P_S

Table 4. Topology optimization results of different plate thicknesses of design domain in the load case of A2_BSR1P_S

Table 5. Statistics of different plate thicknesses of design domain under four load cases

Table 5. Statistics of different plate thicknesses of design domain under four load cases

Table 2. Topology optimization results with different thickness of design domain under the same volume fraction constraint (C_vf = 0.17)

Table 2. Topology optimization results with different thickness of design domain under the same volume fraction constraint (C_vf = 0.17)