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一、前言复杂矿井通风网路的计算是一个解算二次方程组的问题,只能采用逐步渐近法解之,并且要预先给定一组假定初始风量。这属于数学上的非线性方程组的初值问题。文献〔1〕系统地介绍了这方面的研究成果,特别介绍用线性方程法〔2〕求解通风网路的初始值和风流的方向,但是文献〔2〕对此法未作出数学论证。本文在文献〔1〕〔2〕的基础上讨论了复杂通风网路中风阻 R 和风压平衡方程的几何意义,由此提出弦平面法来求解复
I. Introduction Computation of complex mine ventilation networks is a problem of solving quadratic systems and can only be solved by a gradual asymptotic method and a set of assumed initial air volumes must be given. This belongs to the initial value problem of the mathematical nonlinear equations. Literature [1] systematically introduces the research results in this area, especially introducing the linear equations [2] to solve the initial value of the ventilation network and the direction of the wind flow, but the literature [2] did not make a mathematical demonstration of this method. Based on the literature [1] [2], this paper discusses the geometric meanings of the wind resistance R and the air pressure balance equation in the complex ventilation network, and proposes the chord-plane method to solve complex