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158                                                         Force and Torque Sensors



                                                                 Comb drive
                                   Anchor                        actuators



                                                            i sense
                                   V drive










                                                    F tf
                 Figure 7.7  A basic tuning fork design using surface micromachining technology. (From: [24].
                 © 1995 ASME. Reprinted with permission.)



                 resulting frequency is a function of the applied force. The change in this frequency is
                 the output of the device. The force sensor constructed used two tuning forks in a dif-
                 ferential or push-pull structure, such that the output of the device was a shift in the
                 frequency difference between them. This arrangement cancelled out temperature
                 effects and allowed the force being measured to be amplified by mechanical leverage
                 to the connection point of the two forks. In vacuum with closed loop feedback the
                 fork frequencies were each close to 228 kHz and sensor sensitivity was about 4,300
                 Hz/µN.
                    A fully integrated silicon force sensor for static load measurement under high
                 temperature has been demonstrated [26]. In this case load coupling, the excitation
                 and detection of the vibration of the microresonator were integrated in one and the
                 same single crystal silicon package. The complete single crystal design together with
                 a single-mode optical fiber on-chip detection method should allow measurement to
                 high temperatures well over 100°C. A perforated mass was suspended on two beams
                 of 25-µm thickness and 0.5-mm length (Figure 7.8). Tests in a vacuum showed the





                                                   Electrodes
                                                                    Frame



                                                   Resonator



                                                   Electrodes

                 Figure 7.8  Resonant structure: perforated mass suspended on two beams. (From: [26]. © 2000
                 SPIE. Reprinted with permission.)
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