The paper has presented an application of Kakeya-Besicovitch, third example about commutation of finite element beam endpoints inside of arbitrary small zone. This area is a hypocycloid with three cusped points at that inner tangent has a constant length independent by the point position of its inner tangent, which being rotated in clock-way it’s came back to its original position with its endpoints reversed. The application is a hydraulic pump compound by one rotated piston with elliptical section which is rolling in a fixed chamber with hypocycloid form and three cusped rounded tips after a curvature equal with major axe ellipse endpoints curvatures. The rolling motion is imposed by eccentric exterior source that acting inside of cylindrical pocket located in the center of elliptic piston, which divided the hypocycloid in three equal parts at 120° from each other. The pump could be working as a hydraulic motor which is endowed with rotating distributor that can feed each chamber with variable volume one by one due to moving the piston. The pump’s relevance is given by its efficiency, allowing a large flow capacity to a lower spindle speed, ensured a constant ratio spindle speed which working silence and a large stability.
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ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
September 4–7, 2007
Las Vegas, Nevada, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
0-7918-4808-6
PROCEEDINGS PAPER
Optimal Construction of a Hydraulic Pump With Elliptic Rotated Piston by Kakeya-Besicovitch Application
Petru Ungur,
Petru Ungur
Oradea University, Oradea, Romania
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Petru A. Pop,
Petru A. Pop
Oradea University, Oradea, Romania
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Mircea Gordan,
Mircea Gordan
Oradea University, Oradea, Romania
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Nicodim Muresan
Nicodim Muresan
Oradea University, Oradea, Romania
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Petru Ungur
Oradea University, Oradea, Romania
Petru A. Pop
Oradea University, Oradea, Romania
Mircea Gordan
Oradea University, Oradea, Romania
Nicodim Muresan
Oradea University, Oradea, Romania
Paper No:
DETC2007-34042, pp. 947-954; 8 pages
Published Online:
May 20, 2009
Citation
Ungur, P, Pop, PA, Gordan, M, & Muresan, N. "Optimal Construction of a Hydraulic Pump With Elliptic Rotated Piston by Kakeya-Besicovitch Application." Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 7: 10th International Power Transmission and Gearing Conference. Las Vegas, Nevada, USA. September 4–7, 2007. pp. 947-954. ASME. https://doi.org/10.1115/DETC2007-34042
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