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                                                            ELECTROHYDRAULIC MOTION CONTROL SYSTEMS  425
                                3. mechanical plus pilot hydraulics actuated valve,
                                4. electrical plus pilot hydraulics actuated valve.
                             The focus in the classification is the source of actuation power for shifting the valve spool.
                             In mechanically controlled valves, the operator pushes a lever which is connected to the
                             main spool via a mechanical linkage. This is used in relatively small size mobile equipment
                             applications. The same concept is extended to large size machine applications by using an
                             intermediate pilot pressure circuit to actuate the main valve. The motion of the pilot valve
                             is still controlled by direct mechanical motion of the lever. The pilot valve is essentially a
                             proportional pressure reducing valve. It has a constant pilot pressure supply port and a tank
                             port. The output pilot pressure is proportional to the lever displacement at a value between
                             the tank port pressure and pilot supply port pressure. The main valve spool is shifted in
                             proportion to the output pilot pressure.
                                  Finally, if the spool displacement power comes from the electromagnetic force which
                             is generated by an electric current in the solenoid winding, then it is an electrically controlled
                             valve. Such hydraulic systems are called electrohydraulic (EH) systems. The EH valves
                             may be single stage for small power applications or multi stage for large power applications.
                             In multi stage EH valves, the electrical current in the solenoid moves the first stage valve
                             spool (pilot spool), and then the motion of the pilot spool is amplified via a pilot output
                             pressure line to move the main valve spool. In short, pilot-actuated multi stage valves may be
                             controlled by the mechanical connection to the control lever (mechanically controlled multi
                             stage hydraulic valve (Figure 7.16b)) or by an electrical actuator (electrically controlled
                             (EH) multi stage valve, Figure 7.16d).


                      7.2 FUNDAMENTAL PHYSICAL PRINCIPLES

                             In this section we briefly review the fundamental principles of physics that govern hydraulic
                             circuits. Namely, we discuss the Pascal’s law and Bernoulli’s equation.

                             Pascal’s Law    Pascal observed that a confined fluid transmits pressure in all directions
                             in equal magnitude. The implication of this observation is illustrated in Figure 7.17. The
                             pressures on both sides on the hydraulic circuit are equal to each other.

                                                            p = p                                (7.9)
                                                             1    2
                                                            F 1  F 2
                                                               =                                (7.10)
                                                            A    A
                                                             1    2
                                                                 A 2
                                                            F =     ⋅ F                         (7.11)
                                                             2        1
                                                                 A
                                                                  1
                                 F  = p  . A 1                           F  = p  A 2
                                  1
                                                                          2
                                                                             2
                                     1
                                                        Same p;
                                                        p  = p 2
                                                         1
                                A 1            Fluid                    A 2



                             FIGURE 7.17: Fundamental principles of fluid flow in hydraulic circuits: Pascal’s law.
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