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。
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.
作者
李雪冰
曹金凤
危银涛
LI Xue-bing;CAO Jin-feng;WEI Yin-tao(Department of Automobile Engineering,Tsinghua University,Beijing 100084,China;Anti-vibration Department,CRRC Qingdao Sifang Rolling Stock Research Institute Co.,Ltd.Qingdao,Shandong 266031,China;School of Science,Qingdao University of Technology,Qingdao,Shandong 266520,China)
出处
《工程力学》
EI
CSCD
北大核心
2019年第2期224-228,共5页
Engineering Mechanics
基金
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)
关键词
空气弹簧
充气结构
多变过程
有限单元法
垂向刚度
air spring
pneumatic structure
polytropic process
finite element method
vertical stiffness