Effective area estimation method based on performance degradation mechanism of rolling-lobe air springs

doi:10.3969/j.issn.1674-8484.2025.05.002

Abstract

Abstract:

An effective area prediction model was built based on composite material theory and fatigue degradation mechanisms to predict the dynamic response behaviors of rolling-lobe air springs over their full lifecycle. The evolving fatigue characteristics of cords and rubber materials were introduced to establish a multi-physical coupling relationship, in which the effective area was modeled as a function of the fatigue cycles and the deformation excitation amplitude under force. Dynamic validation tests were carried out under different fatigue cycles and deformation excitation amplitudes. The results show that the model prediction error is within 1% at different degradation stages. The effective-area increases with both the fatigue cycles and the deformation excitation amplitude; but decreases with the elastic modulus of the cords and the rubber materials. The effective-area growth trend at 50 °C accelerates and exhibits nonlinear characteristics.

Key words: automotive engineering, vehicle suspension systems, rolling-lobe air-spring, performance degradation, effective area, rubber diaphragm

CLC Number:

U463.1

WU Mingyu, WANG Yafei, CHEN Junjie, ZHONG Hong, LI Yaochao, WEI Yintao, LIU Xiang, ZHANG Yifei. Effective area estimation method based on performance degradation mechanism of rolling-lobe air springs[J]. Journal of Automotive Safety and Energy, 2025, 16(5): 679-687.

Figures/Tables 13

References 22

[1]	殷吕, 夏静云, 徐永高, 等. 空气弹簧结构优化及仿真验证思路[J]. 农业装备与车辆工程, 2024, 62(7): 87-89.
	YIN Lv, XIA Jingyun, XU Yonggao, et al. Structural optimization and simulation verification approach of air spring[J]. Agri Equip Vehi Eng, 2024, 62(7): 87-89. (in Chinese)
[2]	黎朋. 长寿命空气弹簧结构优化设计及材料制备[D]. 北京: 北京化工大学, 2024.
	LI Peng. Structural optimization design and material preparation of long-life air spring[D]. Beijing: Beijing University of Chemical Technology, 2024. (in Chinese)
[3]	Mendia-Garcia I, Gil-Negrete N, Nieto F J, et al. Analysis of the axial and transversal stiffness of an air spring suspension of a railway vehicle: mathematical modelling and experiments[J]. Int’l J Rail Transp, 2024, 12(1): 56-75.
[4]	尹航, 邬明宇, 李雪冰, 等. 一种车用膜式空气弹簧有效面积的预测方法[J]. 复合材料学报, 2021, 38(12): 4371-4378.
	YIN Hang, WU Mingyu, LI Xuebing, et al. A predictive method for effective area of automotive membrane-type air spring[J]. Acta Mat Compo Sinica, 2021, 38(12): 4371-4378. (in Chinese)
[5]	LI Xuebing, HE Yuan, LIU Wei, et al. Research on the vertical stiffness of a rolling lobe air spring[J]. Proc Inst Mech Eng, Part F: J Rail Rapid Transit, 2016, 230(4): 1172-1183. doi: 10.1177/0954409715585370 URL
[6]	LI Xuebing, LI Tian. Research on vertical stiffness of belted air springs[J]. Vehi Syst Dyn, 2013, 51(11): 1655-1673.
[7]	彭立群, 林达文, 黄涛, 等. 轨道车辆空气弹簧刚度试验统型设计与研究[J]. 特种橡胶制品, 2024, 45(5): 58-64.
	PENG Liqun, LIN Dawen, HUANG Tao, et al. Unified design and research on stiffness test of air springs for rail vehicles[J]. Special Purpose Rubber Products, 2024, 45(05): 58-64. (in Chinese)
[8]	CHEN Junjie, HUANG Ziqi, LIU Hongjiang, et al. A unified stiffness model of rolling lobe air spring with nonlinear structural parameters and air pressure dependence of rubber bellows[J]. Proc Inst Mech Eng, Part D: J Automo Engineering, 2025, 239(2-3): 407-431.
[9]	De M F, Pereira A, Morais A. The simulation of an automotive air spring suspension using a pseudo-dynamic procedure[J]. Appl Sci, 2018, 8(7): Paper No 1049.
[10]	高红星, 池茂儒, 朱旻昊, 等. 空气弹簧模型研究[J]. 机械工程学报, 2015, 51(4): 108-115. doi: 10.3901/JME.2015.04.108
	GAO Hongxing, CHI Maoru, ZHU Minhao, et al. Research on air spring modeling[J]. J Mech Eng, 2015, 51(4): 108-115. (in Chinese) doi: 10.3901/JME.2015.04.108
[11]	池茂儒, 高红星, 张卫华, 等. 空气弹簧频变特性研究[J]. 西南交通大学学报, 2016, 51(2): 236-243.
	CHI Maoru, GAO Hongxing, ZHANG Weihua, et al. Research on frequency-dependent characteristics of air springs[J]. J Southwest Jiaotong Univ, 2016, 51(2): 236-243. (in Chinese)
[12]	Torggler J, Faethe T, Müller H, et al. Fatigue assessment of cord rubber composite air spring bellows based on specimen testing and numerical analysis[J]. J Appl Polymer Sci, 2024, 141(37): Paper No e55949.
[13]	CHENG Yuqiang, SHUAI Changgeng, GAO Hua. Research on the mechanical model of cord-reinforced air spring with winding formation[J]. Sci Eng Composite Mat, 2021, 28(1): 628-637.
[14]	XU Liufeng. Theoretical modeling of the vertical stiffness of a rolling lobe air spring[J]. Sci Progress, 2020, 103(3): 1-12.
[15]	CHEN Gengbiao, LIU Zhiwen, ZHANG Tuo, et al. Modeling and control of air spring vibration absorbers with switchable natural frequencies using multiple auxiliary chambers[J]. J Sound Vibr, 2025, 609: Paper No 119115.
[16]	李婉婷. 解耦式空气弹簧充放气动态特性研究[D]. 重庆: 重庆理工大学, 2024.
	LI Wanting. Study on dynamic characteristics of decoupled air spring under inflation and deflation[D]. Chongqing: Chongqing University of Technology, 2024. (in Chinese)
[17]	唐传茵, 张义民, 李允公, 等. 单气室变截面空气弹簧刚度特性及影响因素分析[J]. 机械工程学报, 2014, 50(24): 137-144. doi: 10.3901/JME.2014.24.137
	TANG Chuanyin, ZHANG Yimin, LI Yungong, et al. Stiffness characteristics and influencing factors analysis of single-chamber variable-section air spring[J]. J Mech Eng, 2014, 50(24): 137-144. (in Chinese) doi: 10.3901/JME.2014.24.137
[18]	陈俊杰, 张盛蓬, 张磊, 等. 极限工况下膜式空气弹簧安全保护设计及力学特性研究[J]. 机械强度, 2023, 45(5): 1072-1080.
	CHEN Junjie, ZHANG Shengpeng, ZHANG Lei, et al. Safety protection design and mechanical properties of membrane-type air springs under extreme conditions[J]. Mech Strength, 2023, 45(5): 1072-1080. (in Chinese)
[19]	马科. 基于操纵稳定性的电动汽车空气悬架结构设计与优化[D]. 成都: 西华大学, 2023.
	MA Ke. Structural design and optimization of electric vehicle air suspension based on handling stability[D]. Chengdu: Xihua University, 2023. (in Chinese)
[20]	顾太平, 何琳, 赵应龙. 囊式空气弹簧平衡性分析[J]. 机械工程学报, 2011, 47(3): 69-72.
	GU Taiping, HE Lin, ZHAO Yinglong. Balance analysis of bladder-type air springs[J]. J Mech Eng, 2011, 47(3): 69-72. (in Chinese)
[21]	张腾. 自适应载荷的准零刚度汽车悬架控制方法设计与分析[D]. 广州: 广州大学, 2024.
	ZHANG Teng. Design and analysis of quasi-zero stiffness suspension control method for adaptive load vehicles[D]. Guangzhou: Guangzhou University, 2024. (in Chinese)
[22]	李雪冰. 空气弹簧刚度的精确仿真与解析计算研究[D]. 北京: 清华大学, 2020.
	LI Xuebing. Accurate simulation and analytical calculation of air spring stiffness[D]. Beijing: Tsinghua University, 2020. (in Chinese)

帘线弹性模量	2.7 GPa
橡胶弹性模量	5.0 MPa
帘线体积份数	33.3%
橡胶体积份数	66.7%
气囊剪切模量	2.0 MPa
帘线层囊皮厚度	1.5 mm
气囊21方向Poisson比	0.33
初始相对压强	0.93 MPa
帘线倾角	56°
有效面积形状参数	0.9
空气弹簧外半径	63.0 mm
空气弹簧特征半径	62.1 mm
初始高度	250 mm
破坏循环次数	850万次

帘线弹性模量	2.7 GPa
橡胶弹性模量	5.0 MPa
帘线体积份数	33.3%
橡胶体积份数	66.7%
气囊剪切模量	2.0 MPa
帘线层囊皮厚度	1.5 mm
气囊21方向Poisson比	0.33
初始相对压强	0.93 MPa
帘线倾角	56°
有效面积形状参数	0.9
空气弹簧外半径	63.0 mm
空气弹簧特征半径	62.1 mm
初始高度	250 mm
破坏循环次数	850万次