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WATER JET CONFERENCE - Waterjet Technology Association

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The injection pressure can be controlled easily by changing the prescribed pressure in the<br />

hydraulic cushion cylinder with the relief valve in the hydraulic circuit.<br />

CHARACTERISTICS OF THE PUMP<br />

Characteristics of Power<br />

In this section, the effect of power reduction of the hydraulic cushion cylinder is analyzed<br />

by means of calculation of torque characteristics. Figure 3 shows the structure of the crank.<br />

Provided that the force on the piston acted by the pressure in the hydraulic cushion cylinder is F<br />

and that on the crank shaft F1,<br />

Torque T is:<br />

where = sin −1 (− R<br />

sin )<br />

L<br />

F1 = F<br />

cos<br />

( − )<br />

T=F1 R sin(θ - φ)=F R sin<br />

cos<br />

The displacement of the plunger is:<br />

140<br />

(12)<br />

(13)<br />

X = R[(1+ cos ) − r<br />

(1 − cos2 )] (14)<br />

4L<br />

Figures 4 - 7 show the rotation force on the crank shaft worked by each piston and<br />

the resultant power K at four different delivery rates: O %, 50 %, 75 %, 100 % (plunger<br />

stroke:0,S/2, 3S/4 , S ). It is clear from these figures that the theoretical power acted by the<br />

hydraulic cushion cylinder decreases in proportion to the delivery rate; at the delivery<br />

rates of 0, 50 %, 75 %, the theoretical power corresponds at 0, 0.5, 0.75 .<br />

The triple reciprocating plunger pump with a pressure control discharge valve in<br />

the high pressure water circuit has the same power characteristics as in Figure 7. However,<br />

if the delivery volume decreases, the valve prevents the power reduction of Figure 4 -6<br />

and maintains the total delivery power.<br />

Figure 8 shows the actual power consumed by the pump drive motor (actual<br />

power) and the retentive power of the total delivery from the nozzle (theoretical power),<br />

at a delivery pressure of 392MPa and variable delivery volume. The actual power also<br />

decreases in an approximate proportion to the delivery decrease.<br />

Figure 9 shows efficiencies in four different cases: 1) at full operation of the<br />

hydraulic cushion cylinder, 2) actual efficiency of the present pump, 3) efficiency of the<br />

triple plunger pump installed with a pressure control valve in the high pressure water<br />

circuit, and 4) efficiency of a hydraulic booster pump using a variable delivery hydraulic<br />

pump (max. efficiency 90 %). From these figures, the following results are obtained: In<br />

the existing triple plunger pump, the efficiency is reduced to 43 % by the same rate of<br />

decrease of delivery volume, while in the present pump it decreases to only 79 %.<br />

Further, it is always higher than that of the hydraulic drive booster pump at any delivery

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