偏心有限长大间隙环流的动特性研究

孙启国

振动与冲击 ›› 2011, Vol. 30 ›› Issue (10) : 228-230,.

PDF(1460 KB)
PDF(1460 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (10) : 228-230,.
论文

偏心有限长大间隙环流的动特性研究

  • 孙启国
作者信息 +

Study on the dynamic characteristics of an eccentric finite-length large gap annular flow

  • Sun Qi-guo
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文章历史 +

摘要

基于作者建立的大间隙环流中转子运动的三维力学模型,用摄动法推导了有限长大间隙环流流场非线性控制方程的零阶摄动方程组.该方程组是一个复杂的三维非线性偏微分方程组,其求解有一定的困难. 为此, 提出了一种简化数值方法. 该简化方法是采用作者以前获得的同心有限长大间隙环流的动特性系数来计算三维偏心有限长大间隙环流的动特性系数. 与已有的数值计算结果和实验结果比较, 该简化方法具有较好的实用性和精度. 数值计算结果表明与同心有限长大间隙环流相比, 偏心有限长大间隙环流的动特性系数不再具有主项相等, 耦合项大小相等、符号相反的特点, 动特性系数主项随着偏心率的增加而呈不同程度的指数增加, 这意味着在大偏心情况下有限长大间隙环流的动特性系数将增大.

Abstract

Based on the 3D mechanical model for a large gap annular flow developed by authors, the zero-order perturbation equations of 3D non-linear partial differential equations of the motion of an eccentric rotor in a finite-length large gap annular flow are derived in this paper. The zero-order perturbation equations are also 3D non-linear partial differential equations, and it is a little difficult to get their solutions. Therefore, a simplified numerical method, which is based on the analysis results of a finite-length concentric large gap annular flow done by authors before, is put forward in order to analyze the dynamic coefficients of the eccentric rotor in the finite-length large gap annular flow. Comparing with existing numerical results and testing results, this method is sufficient and accurate. Numerical results show that the dynamic coefficients of the eccentric rotor in the finite-length large gap annular flow have still not the features: the main terms are equal, the couple terms are equal and opposite, comparing with that of the concentric rotor in the finite-length large gap annular flow. All main terms of dynamic coefficients increase exponentially in different degrees with the increase of eccentricity ratio, this shows that the dynamic coefficients of an eccentric rotor in a finite-length large gap annular flow will increase greatly in a large eccentricity.

关键词

偏心 / 有限长 / 大间隙环流 / 动特性 / 数值方法

Key words

eccentric / finite-length / large gap annular flow / dynamic characteristics / numerical method

引用本文

导出引用
孙启国. 偏心有限长大间隙环流的动特性研究[J]. 振动与冲击, 2011, 30(10): 228-230,
Sun Qi-guo . Study on the dynamic characteristics of an eccentric finite-length large gap annular flow [J]. Journal of Vibration and Shock, 2011, 30(10): 228-230,

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