Question

(3) As shown in Fig.3-3. the effective areas of the piston on the cap side and head side are A -100 cm2, A 50 cm2 respectively. If the supply flow rate q 40 Lmin. oil pressure p 2 MPa. and friction, flow resistance and leakage are all neglected. find the maximum possible thrust force the piston can produce and the velocity of the piston under the following conditions: The solenoid of the directional valve is not energized (power off) 2 The solenoid is energized (power on) (5 points) (5 points) A2 A Fig. 3-3

Answer 1

At Selenaid not energized The total flaw rate entenng blank end of egal to pump flow rate (4) inder plus the regenerabve. Yate lgr) ioming fom d end of flow 411 glinder Flas rate equals pishn extending speed 4 9 AKV A kiplied ypitn area 4= AV-A 4(A-A where Avqt 4= 40L /min 40 X 1000 cm3/mn A-A2 40X 1000 ID0-50 PD133ms 800 en Imin 1 Salonaid at energi2ed in this position the ail SuPplied bak k is vented badk Now to direchonal valve The only into the tank Aow is the punmp low lal 9 AK 40X1000 A1 400 cm/min V0.0bbn/s

nhen sdenaid is not energized the thrust the piston PA PA F- P(A-A) F-2XI0x (100-50)X10 The Same System pre there thrauhbut the Pa) FID000 N (m2) when sclencid is not onexaized FPA 20A10X00XID). F PAI tented at to atmasphare 20000 N elraly in at the expense of force amyingcapaaty Hene increase ase 1 in See an can due