Abstract
In order to obtain the calculation method of the unloading area of the internal gear pump during oil trapping, a pair of internal gears including an external gear and an internal gear was used as the research object to simulate the oil trapping process. The geometric relationship during the meshing process was established, and the unloading area expression was obtained by using the geometric pattern expansion method with the variable f as the independent variable. Guided by a mathematical model, two improved optimization schemes were proposed for the internal gear tooth profile, and the unloading area expressions sud, suda, and sudb were obtained. Taking the meshing gear pair with module 3 and number of teeth 13/19 as examples, the simulation results were very consistent with the existing literature. The reliability of the model and the feasibility of the optimization scheme are obtained based on the theoretical analysis and calculation results. This calculation method of unloading area can be applied to the same type of gear pump design in the future, providing a reference for the design of high pressure and low noise gear pumps.
Highlights
Smart Home Information Collection and Processing on Internet of ings Laboratory of Digital Fujian, Fujian Jiangxia University, Fuzhou 350108, China
In order to obtain the calculation method of the unloading area of the internal gear pump during oil trapping, a pair of internal gears including an external gear and an internal gear was used as the research object to simulate the oil trapping process. e geometric relationship during the meshing process was established, and the unloading area expression was obtained by using the geometric pattern expansion method with the variable f as the independent variable
Taking the meshing gear pair with module 3 and number of teeth 13/19 as examples, the simulation results were very consistent with the existing literature. e reliability of the model and the feasibility of the optimization scheme are obtained based on the theoretical analysis and calculation results. is calculation method of unloading area can be applied to the same type of gear pump design in the future, providing a reference for the design of high pressure and low noise gear pumps
Summary
A pair of backlashfree gear tooth rotation processes are used as an analysis to explain the oil trapping and unloading of the internal gear pump. In this process, the unloading groove can be designed. When point p moves to ud along the meshing line of the gear pair, the length of f at this time is fa and fa Bud/cos α′. E above equations pb, rb,, αα,1, α′, and Bud are the base pitch of the gear O1, the base circle radius, the pressure angle of the tooth top circle, the meshing angle, and the distance from ud to the line connecting the center of gear O1 and gear O2. By the definition of the involute function, any two points on the involute line can be connected to the center of the circle to form a sector [13]: 3. Establishing the Calculation Model of Unloading Area
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