Multi-objective structural optimization of heavy truck frame based on SIMP algorithm and GRSM algorithm

doi:10.3969/j.issn.1674-8484.2025.04.012

Abstract

Abstract:

A multi-objective structural optimization on high-strength lightweight design was conducted to address the issues of the deformation and cracking in heavy truck frames. A finite element model of the frame was established by using a pre-processing software Hypermesh with taking a specific 11-meter heavy truck frame as the research subjects. The original heavy truck frame underwent multi-condition multi-objective topology optimization using the Solid Isotropic Material with Penalization (SIMP) method to identify the optimal load-bearing structure. The global response surface method (GRSM) was employed for multi-objective dimensional optimization of the heavy truck frame to reduce its mass. The static and the modal analyses were performed on the frame under the conditions of the full-load bending, the full-load torsion, the full-load cornering, and the full-load braking. The results show that the optimized frame achieves an average stiffness increase of at least 21.1%, a minimum increase of 8.9% in low-order average dynamic frequency, and a mass reduction of 3.2%. Therefore, this has enabled the high-strength lightweighting of heavy truck frames.

Key words: heavy truck, frame construction, solid isotropic material with penalization (SIMP), global response surface method (GRSM), multi-objective size optimization

CLC Number:

U463.32

ZHANG Xiao, LIU Yong, JIANG Xuesheng, LIAO Yilong, HE Feng. Multi-objective structural optimization of heavy truck frame based on SIMP algorithm and GRSM algorithm[J]. Journal of Automotive Safety and Energy, 2025, 16(4): 620-628.

Figures/Tables 15

References 21

[1]	戎飞, 刘胜. 货车车架多目标拓扑优化[J]. 机械制造, 2018, 56(3): 20-23.
	RONG Fei, LIU Sheng. Multi-objective topological optimization of truck frames[J]. Mech Manuf, 2018, 56(3): 20-23. (in Chinese)
[2]	武守辉, 查小江, 苗宇, 等. 货车车架轻量化设计及有限元分析[J]. 河南科技, 2020(22): 100-101.
	WU Shouhui, CHA Xiaojiang, MIAO Yu, et al. Lightweight design and finite element analysis of truck frames[J]. Henan Sci Tech, 2020(22): 100-101. (in Chinese)
[3]	康元春. 货车车架轻量化设计[J]. 农业装备与车辆工程, 2019, 57(10): 41-43.
	KANG Yuanchun. Lightweight design of truck frames[J]. Agri Equi Vehi Engi, 2019, 57(10): 41-43. (in Chinese)
[4]	李振江. 轻型电动货车车架结构设计[J]. 北京汽车, 2017(6): 20-22+26.
	LI Zhenjiang. Design of lightweight electric truck frame structure[J]. Beijing Autom, 2017(6): 20-22+26. (in Chinese)
[5]	周文, 王小睿, 许文超, 等. 重型货车车架的有限元分析[J]. 农业装备与车辆工程, 2017, 55(1):65-68.
	ZHOU Wen, WANG Xiaorui, XU Wenchao, et al. Finite element analysis of heavy truck frames[J]. Agri Equip Vehi Engi, 2017, 55(1): 65-68. (in Chinese)
[6]	张小雨, 刘迪. 基于HyperMesh的某轻卡车架开裂分析[J]. 汽车实用技术, 2018(24): 129-130 + 139.
	ZHANG Xiaoyu, LIU Di. Analysis of cracking in a light truck frame based on HyperMesh[J]. J Autom Prac Tech, 2018(24): 129-130 + 139. (in Chinese)
[7]	洪雨, 彭闪闪, 王玲芝, 等. 载重货车车架的静力学分析[J]. 汽车实用技术, 2019(16): 118-120.
	HONG Yu, PENG Shanshan, WANG Lingzhi, et al. Static analysis of heavy-duty truck frames[J]. J Autom Prac Tech, 2019(16): 118-120. (in Chinese)
[8]	王维伟, 郑再象, 夏宗宝, 等. 某轻型电动货车车架有限元分析及优化[J]. 南方农机, 2021, 52(1): 23-25.
	WANG Weiwei, ZHENG Zaixiang, XIA Zongbao, et al. Finite element analysis and optimization of a lightweight electric cargo vehicle frame[J]. Southern Agri Mach, 2021, 52(1): 23-25. (in Chinese)
[9]	朱维娜, 田志强, 赵洋康. 应用于重型货车的轻量化单层梁车架设计[J]. 汽车实用技术, 2021, 46(18): 122-124. doi: 10.16638/j.cnki.1671-7988.2021.018.034
	ZHU Weina, TIAN Zhiqiang, ZHAO Yangkang. Design of a lightweight single-layer beam frame for heavy-duty trucks[J]. J Autom Prac Tech, 2021, 46(18): 122-124. (in Chinese)
[10]	李艳星, 王铁, 吉志勇, 等. 中型氢燃料电池货车车架多目标拓扑优化设计[J]. 机械强度, 2022, 44(5): 1128-1133. doi: 10.16579/j.issn.1001.9669.2022.05.016
	LI Yanxing, WANG Tie, JI Zhiyong, et al. Multi-objective topological optimization design of a medium-sized hydrogen fuel cell truck frame[J]. J Mech Strength, 2022, 44(5): 1128-1133. (in Chinese)
[11]	陈韬, 张凯, 喻攀, 等. 货车车架仿真分析与台架试验[J]. 机械制造, 2021, 59(10): 64-66+79.
	CHEN Tao, ZHANG Kai, YU Pan, et al. Simulation analysis and test of truck frame[J]. Mech Manuf, 2021, 59(10): 64-66 + 79. (in Chinese)
[12]	张平, 莫伟锴. 基于有限元的纯电动货车车架结构优化设计[J]. 广东技术师范大学学报, 2023, 44(3): 44-52.
	ZHANG Ping, MO Weikai. Optimization Design of frame structure for pure electric freight vehicle based on finite element method[J]. J Guangdong Tech Normal Univ, 2023, 44(3): 44-52. (in Chinese)
[13]	张璟鑫, 梁伟, 夏阳. 结构多目标拓扑优化目标函数构建方法的研究[J]. 中国机械工程, 2016, 27(7): 899-903.
	ZHANG Jingxin, LIANG Wei, XIA Yang. Research on the construction method of objective functions for structural multi-objective topology optimization[J]. China Mech Engi, 2016, 27(7): 899-903. (in Chinese)
[14]	张兰春, 赵清海, 张洪信, 等. 汽车动力总成悬置支架的多目标拓扑优化[J]. 汽车工程, 2017, 39(5): 551-555.
	ZHANG Lanchun, ZHAO Qinghai, ZHANG Hongxin, et al. Multi-objective topology optimization of automotive powertrain mounting brackets[J]. Autom Engineering, 2017, 39(5): 551-555. (in Chinese)
[15]	康元春, 王瑞芳, 张康. 某商用车蓄电池支架多目标拓扑优化[J]. 机械设计, 2020, 37(3): 92-95. doi: 10.13841/j.cnki.jxsj.2020.03.015
	KANG Yuanchun, WANG Ruifang, ZHANG Kang. Multi-objective topological optimization of a commercial vehicle battery rack[J]. J Mech Desi, 2020, 37(3): 92-95. (in Chinese)
[16]	方朝, 赵尚义, 严格, 等. 电动汽车车架的多目标拓扑优化-尺寸优化-精细化设计[J]. 机械设计与制造, 2023(8): 16-22.
	FANG Chao, ZHAO Shangyi, YAN Ge, et al. Multi-objective topology optimization, size optimization, and detailed design of electric vehicle frames[J]. Mech Desi Manu, 2023(8): 16-22. (in Chinese)
[17]	李佚非, 卢耀辉, 宋承裕, 等. 多层级拓扑策略下车体模态及轻量化优化设计[J]. 机械科学与技术, 2025, 44(4): 737-745.
	LI Yifei, LU Yaohui, SONG Chengyu, et al. Modal and lightweight optimization design of vehicle bodies under multi-level topological strategies[J]. Mech Sci Tech, 2025, 44(4): 737-745. (in Chinese)
[18]	ZHOU Yang, XU Jiachuan, QI Weidong, et al. Optimised design of frame topology based on the exponential scaling hierarchy analysis method[J]. Trans Famena, 2024, 48(3): 77-93.
[19]	李曼莉, 王永涛. 某轻型商用车车架多性能约束下的轻量化研究[J]. 机械设计与制造, 2024(7): 326-330.
	LI Manli, WANG Yongtao. Research on lightweighting of a lightweight commercial vehicle frame under multiple performance constraints[J]. Mech Des Manuf, 2024(7): 326-330. (in Chinese)
[20]	谷先广, 陈红林, 俞陆新, 等. 精密铸铝件一体化设计及在车身轻量化中的应用[J]. 汽车工程, 2024, 46(1): 179-186.
	GU Xianguang, CHEN Honglin, YU Luxin, et al. Integrated design of precision cast aluminum parts and its application in vehicle body lightweighting[J]. Autom Engineering, 2024, 46(1): 179-186. (in Chinese)
[21]	高晋, 刘伟. 前副车架对整车操纵稳定性的影响分析及优化[J]. 重庆大学学报, 2025, 48(6): 123-135.
	GAO Jin, LIU Wei. Analysis and optimization of the impact of the front subframe on vehicle handling stability[J]. J Chongqing Univ, 2025, 48(6): 123-135.

驾驶室质量	0.50 t
车厢和货物质量	14.73 t	材料弹性模量	210 GPa
整备质量	9.95 t	材料泊松比	0.30
动力总成质量	0.30 t	材料密度	7.85 g·cm^-3
车架质量	2.02 t	材料屈服强度	420 MPa
总质量	25.00 t

驾驶室质量	0.50 t
车厢和货物质量	14.73 t	材料弹性模量	210 GPa
整备质量	9.95 t	材料泊松比	0.30
动力总成质量	0.30 t	材料密度	7.85 g·cm^-3
车架质量	2.02 t	材料屈服强度	420 MPa
总质量	25.00 t

k	C_k / (kN·mm^-1)		j	f_j / Hz
k	min	max	j	min	max
1	36.04	52.57	1	6.06	10.03
2	107.43	137.82	2	6.45	10.70
3	44.98	64.76	3	6.07	19.99
4	30.24	47.89	4	18.37	24.39

k	C_k / (kN·mm^-1)		j	f_j / Hz
k	min	max	j	min	max
1	36.04	52.57	1	6.06	10.03
2	107.43	137.82	2	6.45	10.70
3	44.98	64.76	3	6.07	19.99
4	30.24	47.89	4	18.37	24.39

工况	约束
满载弯曲	FL123、FR23、BL12、BR2
满载扭转	FR123、BL23、BR12
满载转弯	FL123、FR23、BL12、BR2
满载制动	FL123、FR23、BL123、BR23