Computer Prediction of Cyclic Excitation Sources for an External Gear Pump

Foster, K; Taylor, R.; Bidhendi, I M

doi:10.1243/pime_proc_1985_199_064_02

Cited by 16 publications

(19 citation statements)

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“…This can be done without altering the flow rate fluctuation coefficient. 4. A larger pressure angle is helpful to reduce the volume of trapped fluid and increase the displacement and average flow rate; meanwhile, the flow rate fluctuation coefficient reduces as well for the pump design without relief groove.…”

Section: Resultsmentioning

confidence: 99%

Flow characteristics of external gear pumps considering trapped volume

Hao

Zhou

Liu

et al. 2016

Advances in Mechanical Engineering

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This article investigates the volume change law of trapped fluid in the meshing process and the flow characteristics of external gear pumps under the following two cases: the pump design with and without relief groove. In this study, a mathematical modeling of gear pairs is deduced based on the meshing theory and a complete set of mathematical equations of tooth profile, and the flow rate equation is derived based on law of conservation of mass across the changing boundaries of a control volume. During the process, the function of the pump displacement is established, which is formed by two parts: tooth space volume and trapped volume. In addition, using a control volume approach, the trapped volume and flow rate characteristics of the pump under different design parameters of gears are discussed. The results show that the curve of trapped volume is similar to a parabola and the pump designed with a large number of teeth, module, and pressure angle easily obtained good flow rate characteristics under the same condition, which have a great benefit for designing the relief grooves and external gear pumps.

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Section: Resultsmentioning

confidence: 99%

Flow characteristics of external gear pumps considering trapped volume

Hao

Zhou

Liu

et al. 2016

Advances in Mechanical Engineering

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“…The characteristics of the flow ripple are expressed by the theoretical method according to the number of gear teeth [1]. The characteristics of the trapped volume between the gear teeth, which cause the flow ripple, can be calculated by a geometric formula [2].…”

Section: Introductionmentioning

confidence: 99%

Precise Flowrate Control of Fluid Gear Pumps in Automated Painting Systems Using a Repetitive Controller

2019

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The fluid gear pump-based system has repetitive disturbances, such as flow ripples, due to the mechanical characteristics of the gear system. The periodic disturbances have negative effects on the precise flowrate control, which is essential for consistent coating quality in the painting process. This study proposes a precise flowrate control method of the fluid gear pump-based painting system to compensate for the periodic disturbances. The compensation value of the controller output can be obtained by a repetitive controller. A compensation lookup table corresponding to the reference speed and the rotation angle can be generated through the repetitive controller. In order to secure robustness against various situations, a closed-loop system consists of the conventional proportional-derivative (PD) controller and a compensation lookup table in the form of the feedforward controller. The lookup table-based feedforward controller was compared with the open-loop controller and PD controller. Experimental results show that the proposed method is more effective than existing controllers in terms of periodic disturbance compensation. By using the results of this study, it is possible to improve the performance of the fluid gear pump-based painting system and precisely control the paint spray amount.

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“…Most of them deal with pressure ripples occurring in regions of trapped volume during their working life, and some scientists focus on variation of trapped volume. Such as Foster [4] and Yanada [5] created a geometric formula of trapped volume. Lasri [6] developed a numerical model to calculate the control volume of the trapped fluid in the inter tooth.…”

Section: Introductionmentioning

confidence: 99%

The Analysis of Trapped Volume in Gear Pump

Hao¹,

Zhou²,

Liu³

2016

Proceedings of the 2016 International Conference on Mechatronics Engineering and Information Technology

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The large pressure overshoots or spikes could be easily provoked by virtue of the rapid volumetric change in working process of gear pump, which cause the gear machines to be noise, vibration, strength and other problems, directly affect the stationarity and lifetime performance of the gear machine. For the purpose of this paper is to investigate the variation characteristics of trapped volume in the meshing process of external gear pump. Firstly, a complete mathematical equations of involute gear tooth profile is established after analysis of tooth profile structure with same design parameters on the driving and driven gears. Then, the mathematical model of trapped volume is proposed based upon the meshing theory and a complete set of mathematical equations of tooth profile. This model can accurately and effectively predict the volume of trapped fluid. Finally, the program edited by ourselves is used to solve the mathematical model in the Matlab environment. The results show that the variation curve of the trapped volume is parabola curve, and present symmetric distribution.

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Computer Prediction of Cyclic Excitation Sources for an External Gear Pump

Cited by 16 publications

References 0 publications

Flow characteristics of external gear pumps considering trapped volume

Flow characteristics of external gear pumps considering trapped volume

Precise Flowrate Control of Fluid Gear Pumps in Automated Painting Systems Using a Repetitive Controller

The Analysis of Trapped Volume in Gear Pump

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