针对现有齿轮泵流量脉动大的问题,提出一种低脉动齿轮泵齿轮齿廓的主动设计方法,即通过控制齿轮泵的流量脉动系数,主动控制齿廓形状。根据齿轮啮合原理,在引入极距和压力角函数的基础上,推导齿轮泵的瞬时流量和脉动系数的数学表达式,建立低脉动齿轮泵主动设计的数学模型,推导流量脉动系数的临界条件,给出了其设计流程。并通过具体实例,详细说明了低脉动齿轮泵的主动设计过程,分析了低脉动齿轮泵的特性,并与相同参数的渐开线齿轮泵进行了对比,研究成果可为降低齿轮泵的流量脉动、提高齿轮泵的工作平稳性和寿命,提供一种新的思路。
In order to solve the problem of large flow ripple of gear pumps, an active design method for gear pumps with low flow pulsation is proposed. The basic design thought is to control the shape of the tooth profile by specifying the values of the flow pulsation. The mathematical characterizations of equations for instan- taneous flow rate and flow pulsation coefficient are deduced by using the polar distance and the pressure angle function according to gear meshing theory. The mathematical model of the active design of gear pump with low flow pulsation is established, the critical condition of the flow pulsation coefficient is deduced and the design procedure is given. A design for an example gear pump with low flow pulsation is taken to illustrate the proposed method. The characteristics of the gear pump are analyzed. A comparison study of the above characteristics of the involute gear pump is also carried out. It is significant to reduce the flow pulsation, improve the working stability and extend the service life of gear pumps.