渐开线外啮合斜齿轮流量计的流量脉动

在研究渐开线外啮合斜齿轮流量计流量脉动时,由于螺旋角的作用,人们可以将其瞬时流量视为沿着齿宽方向依次错开一个固定相位角的无数个直齿轮瞬时流量的叠加.依据这一指导思想,利用能量守恒定律和斜齿轮啮合原理,推导出渐开线外啮合斜齿轮流量计流量脉动最大变化量的数学表达式.在此基础上,再依据该数学表达式中的各参数关系,并以斜齿轮重合度为理论基础,推导出渐开线外啮合斜齿轮流量计不产生困油现象的临界螺旋角和临界斜齿轮宽度.分析表明:渐开线外啮合斜齿轮流量计的流量脉动程度低于相同齿容量条件下的直齿轮流量计,并且随着螺旋角的增大其流量脉动会减小.

The study of flow pulsation of involute helical gear flowmeter with external gearing

When investigating flow pulsation of an involute helical gear flow-meter with external gear, the instantaneous flow can be regarded as superposition of countless instantaneous flow, staggering a fixed phase angle in turn along the width of the gear tooth, due to the effect of helical angle. Following this guideline, a mathematical expression of maximum variation of flow ripple of the involute external engagement helical gear flow-meter is deduced in this article by obeying the law of energy conservation and the principle of helical gear engagement. On above basis, taking the parameter relationships in the mathematical expression and the helical gear coincidence degree as the theoretical basis, the critical helical angle and the critical helical gear width without oil trapping were deduced in this research. The analysis shows that the level of flow ripple of the involute external engagement helical gear flow-meter is lower than that of the spur gear flow-meter in the case of same tooth capacity, and the flow pulsation will decreases with the increase of helical angle.