空气弹簧多变过程的有限元模拟

李雪冰; 曹金凤; 危银涛

doi:10.6052/j.issn.1000-4750.2017.12.0925

空气弹簧多变过程的有限元模拟

1.
清华大学汽车工程系, 北京 100084;
2.
中车青岛四方车辆研究所有限公司减振事业部, 山东, 青岛 266031;
3.
青岛理工大学理学院, 山东, 青岛 266520

基金项目: 国家自然科学基金项目（51275265，51175286，11672148）；山东省自然科学基金项目（2013ZRB01802）

详细信息

作者简介:
李雪冰(1983-),男,山东人,博士生,主要从事空气弹簧和橡胶构件的研究与开发、橡胶构件的有限元仿真、橡胶材料的本构理论与测试和橡胶材料疲劳研究(E-mail:lixuebing1983@126.com,lxb16@mails.tsinghua.edu.cn);曹金凤(1978-),女,山东人,副教授,博士,主要从事橡胶构件的研究与开发,大型复杂结构数值模拟研究(E-mail:caojinfeng@qut.edu.cn).

通讯作者:
危银涛(1971-),男,湖北人,教授,工学博士,博导,主要从事汽车动力学与控制、轮胎力学与复合材料的有限元与优化设计和振动-声学仿真研究(E-mail:weiyt@tsinghua.edu.cn).

中图分类号: U266.2;U463.33⁺4.2
计量
- 文章访问数: 641
- HTML全文浏览量: 96
- PDF下载量: 95
出版历程
- 收稿日期: 2017-12-06
- 修回日期: 2018-09-17
- 刊出日期: 2019-02-27

FINITE ELEMENT MODELLING ON POLYTROPIC PROCESS OF AIR SPRINGS

1.
Department of Automobile Engineering, Tsinghua University, Beijing 100084, China;
2.
Anti-vibration Department, CRRC Qingdao Sifang Rolling Stock Research Institute Co., Ltd. Qingdao, Shandong 266031, China;
3.
School of Science, Qingdao University of Technology, Qingdao, Shandong 266520, China

摘要

摘要: 由于当前的有限元软件无法计算空气多变过程，导致空气弹簧垂向刚度预测偏差较大。为了解决这个问题，该文提出了空气弹簧多变过程有限元模拟的解决方案。基于虚功原理，推导了充气结构的有限元方程；基于理想气体状态方程，通过引入多变指数得到多变过程的气体弹性常数，并使用ABAQUS软件的用户自定义单元二次开发程序接口UEL开发了多变空气单元。通过与实验对比，发现该文提出的多变空气单元可以精确预测空气弹簧在不同频率、不同载荷和不同附加气室情况下的垂向刚度，从而验证了该文方法的有效性。
- 空气弹簧 /
- 充气结构 /
- 多变过程 /
- 有限单元法 /
- 垂向刚度
Abstract: The vertical stiffness of an air spring cannot be accurately predicted, because the existing finite element software cannot calculate the polytropic process of air. A solution for simulating the polytropic process of air springs was proposed in order to solve this problem. The finite element formulation was deduced based on virtual work, and the elasticity of air was deduced by introducing the polytropic index based on an ideal gas status equation. A pneumatic element was developed based on the user-defined element UEL, which is provided by ABAQUS software. Compared with the experimental results, we find the proposed method predicts the vertical stiffness of an air spring very precise under different frequencies, loads and additional reservoir volumes, which validates the proposed method.
- air spring /
- pneumatic structure /
- polytropic process /
- finite element method /
- vertical stiffness

HTML全文

参考文献(16)

[1]	罗仁, 曾京. 空气弹簧控制的摆式列车动力学仿真研究[J]. 工程力学, 2009, 26(3):240-245. Luo Ren, Zeng Jing. Dynamic simulation of tilting train controlled by air springs[J]. Engineering Mechanics, 2009, 26(3):240-245. (in Chinese)
[2]	Kunieda M. Foundation of air spring[J]. Machine Design, 1962, 6(8):12-17.
[3]	郭荣生. 空气弹簧悬挂的设计与计算[M]. 青岛:交通部四方车辆研究所, 1973:50-61. Guo Rongsheng. Design and calculation of air spring suspension[M]. Qingdao:Sifang Rolling Stock Research Institute, The Ministry of Communications, 1973:50-61. (in Chinese)
[4]	Qing O, Yin S. The non-linear mechanical properties of an air spring[J]. Mechanical Systems and Signal Processing, 2003, 17(3):705-711.
[5]	Prasil L, Kracik V. Frydrych, D. Shape modeling of air bellows springs[J]. Vysoke Tatry, Podbanske:Proceedings of Algorithm, 2005:142-149.
[6]	Li X, Li T. Research on vertical stiffness of belted air springs[J]. Vehicle System Dynamics, 2013, 51(11):1655-1673.
[7]	Li X B, He Y, Liu W Q, et al. Research on vertical stiffness of rolling lobe air spring[J]. Journal of Rail and Rapid Transit, 2015, 230(4):1172-1183.
[8]	Berry D T, Yang H T Y. Formulation and experimental verification of pneumatic and hydraulic finite elements[J]. International Journal for Numerical Methods in Engineering, 1996, 39(7):1097-1114.
[9]	Oman S, Nagode M. On the influence of the cord angle on air-spring fatigue life[J]. Engineering Failure Analysis, 2013, 27(1):61-73.
[10]	Dijk R, Keulen F, Sterk J C. Simulation of closed thin-walled structures partially filled with fluid[J]. International Journal of Solids and Structures, 2000, 37(42):6063-6083.
[11]	Sun J. Calculation of vertical stiffness of air spring with FEM[C]//Greece:4th ANSA & μETA International Conference, Thessaloniki, Greece:BETA CAE System USA, Inc, 2011.
[12]	Liu Z H, Li F, Huang Y H. Finite element analysis of vertical stiffness of air spring system[J]. Journal of Southwest Jiaotong University, 2006, 41(6):700-704.
[13]	Wei Y T, Kaliske M, Huang Y J. Advanced mechanics of tire and rubber products, proceedings of 1st Tsinghua Tire Mechanics Workshop[M]. Beijing:Tsinghua University Press, 2013:195-238.
[14]	Li X B, Wei Y T, He Y. Simulation on polytropic process of air springs[J]. Engineering Computations, 2016, 33(7):1957-1968.
[15]	朱明善. 工程热力学[M]. 北京:清华大学出版社, 1995:10-41. Zhu Mingshan. Engineering thermodynamics[M]. Beijing:Tsinghua University Press, 1995:10-41. (in Chinese)
[16]	Systèmes D. Abaqus theory manual[CP]. Dessault Systémes, Providence, RI, 2007, 1.1.27-1-1.1.27-19.

施引文献(13)

期刊类型引用(3)

1.	杨治华. 基于计算机辅助软件的园林工程设计效果表达. 时代农机. 2018(12): 99-100 . 百度学术
2.	刘君健，朱成李，杨芳. 随机车载下连续刚构桥动力可靠度分析. 中外公路. 2017(05): 152-157 . 百度学术
3.	郑国荣. 随机车流作用下斜拉桥主梁位移首超动力可靠度研究. 湖南交通科技. 2016(01): 69-73 . 百度学术

其他类型引用(10)

资源附件(0)

计量

文章访问数: 641
HTML全文浏览量: 96
PDF下载量: 95
被引次数: 13

空气弹簧多变过程的有限元模拟

通讯作者: 危银涛(1971-),男,湖北人,教授,工学博士,博导,主要从事汽车动力学与控制、轮胎力学与复合材料的有限元与优化设计和振动-声学仿真研究(E-mail:weiyt@tsinghua.edu.cn).

计量

出版历程

FINITE ELEMENT MODELLING ON POLYTROPIC PROCESS OF AIR SPRINGS

期刊类型引用(3)

其他类型引用(10)

计量

出版历程

目录

通讯作者:
危银涛(1971-),男,湖北人,教授,工学博士,博导,主要从事汽车动力学与控制、轮胎力学与复合材料的有限元与优化设计和振动-声学仿真研究(E-mail:weiyt@tsinghua.edu.cn).