In the present paper the loads, usually modeled as a force and a moment, on the rotors of a three screw pump have been analyzed. These loads, due to the pressure of the working fluid, are periodical, so their actions on the rotors vary. The calculations of the loads are possible thanks to the exact mathematical model of the sectors of surface of the rotors where the pressure works. The computation of the loads is determined as a function of the rotation angle and it is useful for the comprehension of some phenomena, such as the vibration induced and the noise generation, and for the design of a possible balancing system of the rotor loads. On the basis of the results of the calculations described, we can obtain the different types of actions on the rotors. The central screw presents loads different from those of the two satellite screws. In particular we show how the loads depend on the design parameters, especially on the pitch. The criteria for the optimum design of this parameter are indicated in detail.

Issue Section:
Research Papers
Topics:
Computation, Pressure, Pumps, Rotors, Screws, Stress, Design, Fluids, Noise (Sound), Rotation, Satellites, Vibration
1.
Adams
G. P.
,
Soedel
W.
,
1995
, “
Computation of Compression Loads in Twin Screw Compressors
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
117
, pp.
512
–
519
.
2.
Amerio, L., 1987, Analisi Matematica, UTET, Torino, Vol. 2.
3.
Bertani, C., 1988, “Pompe a Viti e ad Ingranaggi Interni,” Oleodinamica e pneumatica, No. 5, pp. 166–171.
4.
Bidhendi, I. M., Foster, K., Taylor, R., 1983, “Computer Predictions of Cyclic Excitation Sources for an External Gear Pump,” in: Computer Aided Design in High Pressure Hydraulic Systems, Mechanical Engineering Publications Ltd, London, pp. 23–29.
5.
Bonacini, C., Borghi, M., 1990, “Calcolo delle Pressioni nei Vani fra i Denti di una Macchina Oleodinamica ad Ingranaggi Esterni,” Oleodinamica e Pneumatica, No. 11, pp. 128–134.
6.
Borghi, M., and Bonacini, C., 1991, “Calcolo delle Pressioni sui Fianchi degli Ingranaggi di Macchine Oleodinamiche ad Ingranaggi Esterni,” Oleodinamica e pneumatica, No. 4, pp. 118–124.
7.
Citrini, C., 1992, Analisi Matematica 2, Bollati Boringhieri, Torino.
8.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, Engle-wood Cliffs, NJ.
9.
Manco`, S., Nervegna, N., 1987, “Modello Matematico di Pompe Oleodinamiche a Ingranaggi Esterni,” Oleodinamica e Pneumatica, No. 1, pp. 64–72.
10.
Miccoli, G., Vagnoni, P., 1988, “Determinazione per Via Sperimentale dei Carichi sul Corpo di una Pompa ad Ingranaggi Esterni,” Oleodinamica e Pneumatica, No. 11, pp. 145–155.
11.
Mimmi, G., Pennacchi, P., 1995, “Design of Three Screw Positive Displacement Rotary Pumps,” in: Aliabadi, M. H., Alessandri, C. (Ed.), Contact Mechanics II—Computational Techniques, Computationals Mechanics Publications, Southampton, pp. 401–411.
12.
Mimmi
G.
,
Pennacchi
P.
,
1997
, “
Determination of Tool Profile for the Milling of Three Screw Pump Rotor
,”
Meccanica
, Vol.
32
, No.
4
, pp.
363
–
376
.
13.
Pomper, V., 1950, Commande Hydraulique des Machines-Outils, Socie´te´ d’E´dition pour la Me´canique et la Machine-Outil, Paris.
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