Page 105 - An Introduction to Microelectromechanical Systems Engineering
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84                      MEM Structures and Systems in Industrial and Automotive Applications

                 feedback voltage then becomes a measure of the disturbing force. This feature is
                 integral to the closed-loop operation of many accelerometers and yaw-rate sensors.


                 Piezoelectric Actuation
                 Piezoelectric actuation can provide significantly large forces, especially if thick pie-
                 zoelectric films are used. Commercially available piezoceramic cylinders can provide
                 up to a few newtons of force with applied potentials on the order of a few hundred
                 volts. However, thin-film (<5 µm) piezoelectric actuators can only provide a few
                 millinewtons. Both piezoelectric and electrostatic methods offer the advantage of
                 low power consumption as the electric current is very small.

                 Thermal Actuation

                 Thermal actuation consumes more power than electrostatic or piezoelectric actua-
                 tion but can provide, despite its gross inefficiencies, actuation forces on the order of
                 hundreds of millinewtons or higher. At least three distinct approaches have emerged
                 within the MEMS community. The first capitalizes on the difference in the coeffi-
                 cients of thermal expansion between two joined layers of dissimilar materials to
                 cause bending with temperature—the classic case of a bimetallic thermostat studied
                 by S. Timoshenko in 1925 [4]. One layer expands more than the other as tempera-
                 ture increases. This results in stresses at the interface and consequently bending of
                 the stack. The amount of bending depends on the difference in coefficients of ther-
                 mal expansion and absolute temperature. Unfortunately, the latter dependence
                 severely limits the operating temperature range—otherwise, the device may actuate
                 prematurely on a hot day.
                    In another approach known as thermopneumatic actuation, a liquid is heated
                 inside a sealed cavity. Pressure from expansion or evaporation exerts a force on the
                 cavity walls, which can bend if made sufficiently compliant. This method also
                 depends on the absolute temperature of the actuator. Valves employing this method
                 will be described later in this chapter.
                    Yet a third distinct method utilizes a suspended beam of a same homogeneous
                 material with one end anchored to a supporting frame of the same material [5].
                 Heating the beam to a temperature above that of the frame causes a differential
                 elongation of the beam’s free end with respect to the frame. Holding this free end
                 stationary gives rise to a force proportional to the beam length and temperature dif-
                 ferential. Such an actuator delivers a maximal force with zero displacement, and
                 conversely, no force when the displacement is maximal. Designs operating between
                 these two extremes can provide both force and displacement. A system of mechani-
                 cal linkages can optimize the output of the actuator by trading off force for displace-
                 ment, or vice versa. Actuation in this case is independent of fluctuations in ambient
                 temperature because it relies on the difference in temperature between the beam and
                 the supporting frame. A plate microvalve utilizing this actuation scheme is described
                 later.

                 Magnetic Actuation

                 Lorentz forces form the dominant mechanism in magnetic actuation on a miniatur-
                 ized scale [6]. This is largely due to the difficulty in depositing permanently
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