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                             TABLE 20.7  Properties of Some Stacked (Multilayer) Actuators
                                                      Length × Width × Thickness (mm)
                             Standard                  or Ext. Diam. × Intern. Diam. ×   V max    Stroke   F max
                             Part No.  Material  Shape      Thickness (mm)      (V)  (µm)   (kN)
                             A01       Pz26   Rectangle      2.5 × 2.0 × 2.0    200   1.8    0.5
                             A06       Pz26   Square         10 × 10 × 2.0      200   2.0   10
                             A16       Pz27   Square         10 × 10 × 2.0      200   3.2    5.0
                             A21       Pz26   Ring           6.0 × 2.0 × 2.0    200   1.7    2.5
                             A27       Pz26   Ring           25 × 15 × 2.0      200   2.2   31
                             A37       Pz27   Ring           25 × 15 × 2.0      200   3.4   16



                         Due to stacked design, strong pushing force is developed:

                                                               ∆lA
                                                          F =  -------------                    (20.38)
                                                              Ls 33 Y

                       where L is the length of the stack, A is the area of elements, and s 33 , Y are compliance and Young’s modulus,
                       respectively.
                         For reference, Ferroperm Piezoceramics’ multilayer actuator supply catalog [6] extract is presented in
                       Table 20.7.
                         If long travel is required, piezoelement expansion can be amplified by using bimorph or levers. Bimorph
                       is a composite cantilever of two layers (Fig. 20.82(b)). One of them is of structural material and the other
                       of piezomaterial. Piezomaterials can be used for both layers. In this case, first layer will expand, the second
                       one contract. However, this results in low stiffness.


                       Application Areas
                       Due to inherent properties in piezomaterials, actuators with a lot of engineering advantages can be
                       developed. Some examples are compact and lightweight, large force, broad operating frequency range,
                       high stability,  solid state,  displacement proportional  to applied  voltage,  50%  energy  conversion
                       efficiency.
                         They are used in micromanipulation, noise and vibration suppression systems, valves, laser and optics,
                       ultrasonic motors,  positioning  devices,  relays,  pumps,  in automotive industry,  industrial automation
                       systems, telecommunications, computers, etc. Some of the applications are shown in Fig. 20.83.
                         (a)  Suppression of oscillations. Piezoactive materials-based dampers convert mechanical oscillations
                             into electrical  energy.  Generated energy is then shunted  to dissipate the  energy as heat,  i.e.,
                             oscillation energy is eliminated. The principle scheme is given in [2].
                         (b)  Microrobot. Robot platform legs are piezoactuators. By applying voltage to the electrodes, piezo-
                             legs are lengthened, shortened, or bent in any direction in a fine movement.
                         (c)  Micropump. Diaphragm is actuated by piezoactuator, input and output check valves are subse-
                             quently opened for liquid or gas pumping. Advantages are fast switching and high compression
                             rate.
                         (d)  Microgripper. Piezoactuator works on contraction for gripping motion based on the compliant
                             mechanism. Gripper is of very small size and almost any required geometrical shape.
                         (e)  Micromanipulator. Due to the unlimited resolution, piezoactuators are used in numerous posi-
                             tioning applications.
                          (f)  Microdosage device. Piezoactuators allow high precision dosage of a wide variety of liquids in a
                             range of nanoliters for various applications.



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