Mapping model of cord laying angle-load bearing for air spring rubber airbag
CHEN Junjie, TAN Yueling, KANG Sheng, QIU Guangqi
Author information+
School of Mechanical and Electrical Engineering (School of Automotive Engineering),
Jiangxi University of Science and Technology, Ganzhou 341000, China
The laying angle of cord is a key technological parameter in the forming process of rubber bellows of air spring, and also an important factor affecting the effective area and load characteristics of air spring. In this paper, the laminate theory and the force analysis of bellows are used, and the cord laying angle is introduced to construct the mapping model of cord laying angle-effective area, cord laying angle-load capacity. Based on MTS852.05, the expansion diameter of air spring and load capacity test device is built. The maximum relative errors of calculation and test results of effective area and load capacity under the pressure range of 4×105Pa~7×105Pa and 46°~56° cord laying angle are 4.43% and 9.18%, respectively, which verify the correctness and effectiveness of the mapping model of laying angle-effective area and cord laying angle-load capacity. The influence mechanism of laying angle of cord on load capacity is expounded. The results provide theoretical guidance for the formulation of the forming process of rubber bellows and the optimization of the load characteristics of rolling lobe air spring, and also lay a theoretical foundation for finding out the mapping relationship between the laying angle and the mechanical characteristics of the cord layer in the thin-walled parts of the multi-layer composite rotary structure.
CHEN Junjie, TAN Yueling, KANG Sheng, QIU Guangqi.
Mapping model of cord laying angle-load bearing for air spring rubber airbag[J]. Journal of Vibration and Shock, 2023, 42(21): 291-297
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Xu L F. Theoretical modeling of the vertical stiffness of a rolling lobe air spring[J]. Science Progress, 2020, 103(3).
[2] Wu M, Chen Z, Liu D, et al. A theoretical model of amplitude-dependent dynamical stiffness for cord-rubber air springs[J]. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 2022.
[3] Li X B, He Y, Liu W Q. Research on the vertical stiffness of a rolling lobe air spring, Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2016, (230): 1172-1183.
[4] Zhu H, Yang J, Zhang Y, et al. A novel air spring dynamic model with pneumatic thermodynamics, effective friction and viscoelastic damping[J]. Journal of Sound and Vibration, 2017, 408: 87-104.
[5] 郭继斌. 空气弹簧有效承载面积变化率的计算[J]. 国外铁道车辆,1981(04):29-31.
Guo J B. Calculation of change rate of effective load area of air spring [J]. Foreign Railway Vehicle, 1981(04): 29-31.
[6] 董学锋. 膜片空气弹簧的设计计算[J]. 汽车技术,1990(03):4-9.
Dong X F. Design and calculation of diaphragm air spring [J]. Automobile Technology, 1990(03): 4-9.
[7] 唐传茵,张义民,李允公. 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.
Tang C Y, Zhang Y M, Li Y G. Stiffness characteristics and influencing factors of air spring with single chamber and variable section [J]. Chinese Journal of Mechanical Engineering, 2014, 50(24): 137-144.
[8] 胡德安,甘亮亮,丁飞. 基于活塞形状改变的空气弹簧特性仿真研究[J]. 计算机仿真,2012,29(1):331-334.
Hu D A, Gan L L, Ding F. Simulation of air spring characteristics based on piston shape change [J]. Computer Simulation, 2012, 29 (1): 331-334.
[9] 李静,丁明慧,李立刚. 基于活塞形状的空气弹簧动特性分析与参数优化[J]. 吉林大学学报(工学版),2018,48(2):355-363.
Li J, Ding M H, Li L G. Dynamic characteristics analysis and parameter optimization of air spring based on piston shape [J]. Journal of Jilin University (Engineering and Technology Edition), 2018, 48(2): 355-363.
[10] 赵亚敏,崔俊宁,邹丽敏,边星元,程钟义. 约束膜式空气弹簧的刚度建模与分析[J]. 振动与冲击,2022,41(01):60-67.
Zhao Y M, Cui J N, Zou L M, Bian X Y, Cheng Z Y. Stiffness modeling and analysis of constrained membrane air spring [J]. Journal of Vibration and Shock, 222, 41(01): 60-67.
[11] S Oman, Nagode M. On the influence of the cord angle on air spring fatigue life[J]. Engineering Failure Analysis, 2013, 61-73.
[12] 赵应龙,金著,何琳. 气囊隔振器囊壁骨架层平衡性研究[J]. 船舶力学,2017,21(07):873-879.
Zhao Y L, Jin Z, He L. Study on the balance of envelope wall skeleton layer of airbag vibration isolator [J]. Ship Mechanics, 2017, 21(07): 873-879.
[13] 胡双卫,钟锐,秦斌,王青山. 任意直四边形复合材料层合板振动特性研究[J]. 哈尔滨工程大学学报,2022,43(03):385-391.
Hu S W, Zhong R, Qin B, Wang Q S. Study on vibration characteristics of arbitrary straight quadrilateral composite laminates [J]. Journal of Harbin Engineering University, 202, 43(03): 385-391.
[14] 尹航,邬明宇,李雪冰,吕靖成,杜永昌,梁冠群,危银涛. 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 H, Wu M Y, Li X B, Lv J C, Du Y C, Liang G Q, Wei Y T. A prediction method for effective area of film air spring for vehicle [J]. Journal of Composites, 2021, 38 (12): 4371-4378.
[15] Chen J J, Yin Z H, Yuan X J, et al. A refined stiffness model of rolling lobe air spring with structural parameters and the stiffness characteristics of rubber bellows[J]. Measurement, 2021, 169: 1-14.
[16] 陈俊杰,郭孔辉,殷智宏,王琼瑶,张磊. 囊式空气弹簧垂向刚度统一模型研究[J]. 机械工程学报,2022,58(12):180-187.
Chen J J, Guo K H, Yin Z H, Wang Q Y, Zhang L. Research on unified model of vertical stiffness of capsule air spring [J]. Chinese Journal of Mechanical Engineering, 222, 58(12): 180-187.
[17] 成小霞,李宝仁,杨钢,杜经民. 囊式空气弹簧载荷建模与实验研究[J]. 振动与冲击,2014,33(17):80-84.
Cheng X X, Li B R, Yang G, Du J M. Load modeling and experimental study of capsule air spring [J]. Journal of Vibration and Shock, 2014, 33 (17): 80-84.
[18] 沈观林,胡更开. 复合材料力学[M]. 第二版. 北京:清华大学出版社,2013.
Shen G L, HU G K. Mechanics of composite materials [M]. The second edition. Beijing: Tsinghua University Press, 2013.
[19] 刘鸿文. 材料力学[M]. 第六版. 高等教育出版社, 2017.
Liu H W. Mechanics of materials [M]. The sixth edition. Higher Education Press, 2017.
[20] S Oman, M Nagode. On the influence of the cord angle on air-spring fatigue life[J]. Engineering Failure Analysis, 2013, 27(1): 61-73.
[21] Pak Kin Wong, Zhengchao Xie, Jing Zhao, Tao Xu, Feng He. Analysis of automotive rolling lobe air spring under alternative factors with finite element model[J]. Journal of Mechanical Science and Technology, 2014, 28(12): 5069-5081.
[22] 任杰,仲健林,马大为. 一种基于帘线/橡胶复合材料细观力学的精确建模方法[J]. 复合材料学报,2014,31(06):1516-1524.
Ren J, Zhong J L, Ma D W. An accurate modeling method based on micromechanics of cord/rubber composites [J]. Journal of Composites, 2014, 31(06): 1516-1524.