Page 59 - Handbook of Biomechatronics
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Actuator Technologies                                         53


              However, the differential typology typically comes at the cost of substantial
              reduction in efficiency (Sensinger, 2013).
                 For biomechatronic actuators that do not need large transmission ratios,
              but that cannot afford backlash or stiction, capstan transmissions are often the
              design of choice (e.g., Fig. 11E and Brown et al., 2012). These designs cou-
              ple the motion of one pulley to that of another through pinned cabling.
              They can produce high forces even in the absence of pretension between
              the cables because the cables are pinned. They can only be used for small
              gear ratios and for limited range of motion.
                 Some biomechatronic actuators use chains or belts and pulleys for their
              transmission (e.g., Lawson et al., 2014), although for most designs these are
              not compact enough and introduce substantial vibration at higher speeds.
                 Some biomechatronic actuators use linkages themselves—particularly in
              parallel configurations, as a form of transmissions. Manipulandums, com-
              monly used in assessing human motor control, are one such example.

              3.2.4 Variable and Low Impedance
              Variable and low-impedance actuators are increasingly important for both
              industrial and research applications. They enable safer interaction with
              humans and a more robust interaction with unknown environments.
                 The mechanical impedance of an object refers to the ratio of force an
              object exerts relative to the frequency-dependent displacement of the
              object. Impedance is the generalization of related concepts including stiff-
              ness, viscosity, and inertia. Ratios that are constant across frequencies
              (and thus only depend on displacement) can be expressed solely as stiffness.
              Ratios that rise at 20dB/decade can be expressed solely as viscosity. Ratios
              that rise at 40dB/decade can be expressed solely as inertias. Objects that have
              multiple springs and inertias will typically “look” like a spring, or an inertia,
              in various ranges of the frequency spectrum (Fig. 4).
                 Motors typically have a large output impedance that looks like an inertia
              at high frequencies. This large output impedance is often caused by the
              reflected inertia generated by a transmission, and leads to high forces during
              impacts (high frequencies), which in turn can cause damage either to the
              mechanism or the person. However, if a spring or damper is placed at the
              end of the actuator, it acts as the “weakest link,” saturating the impedance
              seen at the output.
                 The intentional introduction of compliance within an otherwise-rigid
              electromechanical actuator has conventionally been avoided, because it
              reduces high-frequency/high-magnitude force generation and creates the
              potential for sensor/actuator de-colocation in some control strategies.
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