Abstract
Based on the obtained mathematical models of straight-line gears, this article focuses on the investigation of fluid delivery and trapped volume performances of Truninger gear pumps. Considering the nonlinear relationship in mesh movement of straight-line gears, it is hard to derive explicitly solvable formulas of displacement and trapped volume with traditional methods. A discretization approach is proposed to obtain the numerical solutions. Then, the performances of fluid delivery and trapped volume are discussed. The results show that the trapped volume of Truninger gear pumps only has an expansion process, which avoids the pressure rise caused by the compression of trapped volume and has no contribution to the fluid delivery of pumps. To design Truninger gear pumps with a good delivery capacity, it is practical to choose a small tooth thickness, a large tooth number of the pinion, and a large profile angle with the proper choice of addendum coefficient and dedendum coefficient. Taking the example in this article for illustration, it may choose a tooth thickness of 3 mm, a tooth number of the pinion of 15, a tooth number of the internal gear of 18, a profile angle of 24°, an addendum coefficient of 0.66, and a dedendum coefficient of 0.9.
Highlights
Hydrostatic pumps are the heart component in fluid power systems, which convert mechanical energy into hydraulic energy to do useful work
Unlike the involute gear pumps, the trapped volume of Truninger gear pumps has no contribution to the fluid delivery, which has an effective fluid delivery process by one tooth pair stopping at the moment when the next tooth pair gets contacting
With mathematical models of the conjugated straightline internal gear pairs obtained in Song and Zhou,[31] this article has carried out an investigation of influences of gear parameters on flowrate characteristics of Truninger gear pumps by a discretization approach
Summary
Hydrostatic pumps are the heart component in fluid power systems, which convert mechanical energy into hydraulic energy to do useful work. With equations (1), (2) and (5), the meshing process of the conjugated straight-line internal gear pair, with the pinion rotating clockwise, can be demonstrated by Figure 2. Before the investigation of fluid delivery and trapped volume performances, an overlap analysis of the conjugated straight-line internal gear pair is presented as follows. Pm g(xA xA + mDx = xB ð30Þ where f(x) and g(x) are equations of curve[1] and curve[2], respectively; xA and xB are the x-coordinate of points A and B, respectively; Dx is the step of x-coordinate, and m is a natural number whose value is relevant to the value of Dx. According to equation (30), the trapped volume of Truninger gear pumps, shown, can be calculated. Determine the intersect points M1 and M2 of profile R2p w r and curve AB, as represented by
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
