北京工业大学学报
北京工業大學學報
북경공업대학학보
Journal of Beijing University of Technology
2015年
11期
1688-1692
,共5页
陈东菊%周帅%董丽华%范晋伟
陳東菊%週帥%董麗華%範晉偉
진동국%주수%동려화%범진위
微尺度%空气静压导轨%气膜波动%承载力%刚度
微呎度%空氣靜壓導軌%氣膜波動%承載力%剛度
미척도%공기정압도궤%기막파동%승재력%강도
micro-scale%aerostatic guideway%gas film thickness%load capacity%stiffness
为了阐释空气静压导轨气膜间隙处在微小尺度所体现的特性,引入气体稀薄效应中的速度滑移算法到Navier-Stokes方程,推导出体现微尺度条件下空气膜流动特点的雷诺方程,进而对气膜内的压强分布进行了仿真分析,根据得到的压强分布计算气膜承载力和刚度随气膜厚度变化的规律,通过试验对得出的结论进行了间接验证,与分析结果吻合.
為瞭闡釋空氣靜壓導軌氣膜間隙處在微小呎度所體現的特性,引入氣體稀薄效應中的速度滑移算法到Navier-Stokes方程,推導齣體現微呎度條件下空氣膜流動特點的雷諾方程,進而對氣膜內的壓彊分佈進行瞭倣真分析,根據得到的壓彊分佈計算氣膜承載力和剛度隨氣膜厚度變化的規律,通過試驗對得齣的結論進行瞭間接驗證,與分析結果吻閤.
위료천석공기정압도궤기막간극처재미소척도소체현적특성,인입기체희박효응중적속도활이산법도Navier-Stokes방정,추도출체현미척도조건하공기막류동특점적뢰낙방정,진이대기막내적압강분포진행료방진분석,근거득도적압강분포계산기막승재력화강도수기막후도변화적규률,통과시험대득출적결론진행료간접험증,여분석결과문합.
The velocity slip calculation method which reflects the rarefied effect was introduced to the Naiver-stokes equation for interpreting the characteristics of aerostatic guideway gas film clearance in micro-scale. The Reynolds equation indicating the flow characteristics of gas film was derived. The pressure distribution of the gas film was simulated. The variation rules of the stiffness of the gas film were calculated with the pressure distribution. This was verified by experiments indirectly and agreeds with the analysis results.