航空学报 > 2010, Vol. 31 Issue (11): 2282-2287

基于Cantor集理论粗糙表面刹车副温度场研究

薛晶, 李玉忍, 刘卫国, 田广来   

  1. 西北工业大学 自动化学院
  • 收稿日期:2010-01-06 修回日期:2010-05-17 出版日期:2010-11-25 发布日期:2010-11-25
  • 通讯作者: 李玉忍

Research on Temperature Field of Brake Dicks with Rough Contact Surfaces Based on Cantor Set Theory

Xue Jing, Li Yuren, Liu Weiguo, Tian Guanglai   

  1. School of Automation, Northwestern Polytechnical University
  • Received:2010-01-06 Revised:2010-05-17 Online:2010-11-25 Published:2010-11-25
  • Contact: Li Yuren

摘要: 为保证飞机着陆安全,避免热衰退现象影响制动性能,研究了飞机刹车副表面粗糙度对温度场的影响。将Cantor集理论应用到接触形貌分析中,按照体守恒原理建立刹车副粗糙表面接触模型,考虑其对刹车副材料热物理性能的影响,建立极坐标下刹车副温度场有限元模型。用ANSYS对其进行仿真分析。仿真结果更接近刹车副经验温度,证明了所建立的刹车副温度场模型合理、可行,为刹车副温度场分析、计算和研究提供了理论支持。

关键词: 计算机仿真, 飞机, 刹车, 温度分布, 表面形貌, Cantor集

Abstract: High heat energy is generated among brake dicks by friction during aircraft braking. The contact surfaces of brake disks are rough rather than flat, causing hot spotting easily. This may accelerate brake wear and fatigue damage and jeopadize the security of airplane landing. This article builds a contact model of brake surfaces with Cantor set theory based on volume conservation, and studies its effect on the thermal physical parameters of brake materials. The temperature field is calculated using the finite element model in polar coordinates. The numerical simulation results by ANSYS are in good agreement with empirical values, and provide evidence for the validity of the model. It is a theoretical support for the study of the temperature field of aircraft brake disks.

Key words: computer simulation, aircraft, braking, temperature distribution, surface morphology, Cantor set

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