东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2018, Vol. 39 ›› Issue (8): 1211-1216.DOI: 10.12068/j.issn.1005-3026.2018.08.029

• 力学 • 上一篇    

颗粒振动及耗能特性研究的弹塑性接触建模方法

李健1， 高微1， 张亚双2， 刘欲诺3   

  1. (1. 东北大学 理学院， 辽宁 沈阳110819; 2. 中国航发沈阳黎明航空发动机有限责任公司， 辽宁 沈阳110043; 3. 东北大学 机械工程与自动化学院， 辽宁 沈阳110819)
  • 收稿日期:2017-04-20 修回日期:2017-04-20 出版日期:2018-08-15 发布日期:2018-09-12
  • 通讯作者: 李健
  • 作者简介:李健(1972-)， 男， 辽宁沈阳人， 东北大学教授.冯明杰(1971-)， 男， 河南禹州人， 东北大学副教授; 王恩刚(1962-)， 男， 辽宁沈阳人， 东北大学教授，博士生导师.
  • 基金资助:
    国家自然科学基金资助项目(11672072， 11502050).国家自然科学基金资助项目(51171041).

A Modeling Approach of Elastoplastic Contact for Analyzing the Vibration and Energy Dissipation Characteristics of Particles

LI Jian1， GAO Wei1， ZHANG Ya-shuang2， LIU Yu-nuo3   

  1. 1. School of Sciences， Northeastern University， Shenyang 110819， China; 2. Aero Engine Group of China Shenyang Liming Aero-Engine Corporation Ltd.， Shenyang 110043， China; 3. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.
  • Received:2017-04-20 Revised:2017-04-20 Online:2018-08-15 Published:2018-09-12
  • Contact: LI Jian
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摘要： 提出一种颗粒弹塑性接触的通用建模方法来研究颗粒系统的振动及耗能特性.构造颗粒法向塑性接触本构方程基本形式，并采用有限元法(FEM)获得无量纲本构关系;提出颗粒弹塑性细观接触加-卸载多路径模型，给出了颗粒塑性接触能量耗散的计算公式.采用离散单元法(DEM)对简谐激励下颗粒系统的振动和耗能特性进行了数值仿真分析.结果表明，颗粒使系统产生非线性振动，颗粒介质在系统进入共振区的前后均呈现出类似混沌的复杂非线性运动状态.颗粒间的法向塑性接触没有改变颗粒阻尼效应的主要耗能方式，但对颗粒动态接触行为及颗粒系统动力学特性产生重要影响.

关键词: 颗粒介质, 塑性接触, 有限元法, 离散单元法, 无量纲本构方程, 多路径模型

Abstract: A general contact modeling method of elastoplastic contact between particles is proposed to study the vibration and energy dissipation characteristics of the particle system. The basic form of constitutive equation concerning normal plasticity contact between particles is established and a dimensionless constitutive relation can be obtained based on the finite element method accordingly. A loading-unloading multipath model of elastoplastic contact between particles is presented. A theoretical formula of normal plastic energy dissipation is deduced. Based on the discrete element method， numerical simulations on the characteristics of vibration and energy dissipation for the particle system under harmonic excitation are carried out. The results show that the linear system exhibits the characteristics of nonlinear vibration caused by particles. Granular media appears to be a complicated nonlinear state of motion similar to the chaos near the resonance region. Although the way of energy dissipation on particle damping effect remains unchanged， normal plastic contact alters the dynamic contact behavior between particles and has great influence on the dynamic characteristics of the vibrating particle system.

Key words: granular media, plastic contact, FEM, DEM, dimensionless constitutive equation, multipath model

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