微分求积法分析具有弹性支承输液管的临界流速

Differential quadrature method for analyzing critical flow velocity of the pipe conveying fluid with spring support

将微分求积方法推广到分析输液管的临界流速 ,这是一个新的尝试。与其它数值方法相比 ,该法极易处理具有弹性边界的输液管。另外 ,由于避免了一系列数值积分的计算 ,且最终须求解的方程的阶数较低 ,故计算量较少 ,精度令人满意。在此基础上 ,本文还研究了各参数对临界流速的影响。

It is a new attempt to extend DQM to calculating critical flow velocity of pipe conveying fluid, and based on this the influences of several parameters on the critical velocity is also studied in this paper with an acceptable precision in the numerical results. Compared to other methods, this method can easily deal with the pipe with spring support at its boundaries, and has much less computing efforts due to avoiding a large serie of numerical integcratings,and the much lower the order of the equation to be solved. The paper also demomstrates the successful application of DQM to the problems of pipes conveying fluid.