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160                                                         Force and Torque Sensors

                 specifications, and optical methods are largely immune to such interference effects.
                 Also, a noncontacting sensor is desirable to improve reliability.
                    One commercial system [40, 41] employs an optical sensor to measure the rela-
                 tive angular movement between the ends of a torsion bar as torque is applied to the
                 shaft. The torsion bar is a compliant portion of shaft designed to increase the angu-
                 lar displacement for a given torque—for example, approximately 2.5° of twist for
                 10 Nm of applied torque. Two rotating discs are fitted to the shaft; one mechanically
                 links to each end of the torsion bar. Each rotating disc has a pattern of slots forming
                 two tracks of alternating transparent and opaque zones. The optical arrangement is
                 such that the light intensity received relates to torque, the direction of torque can be
                 determined, and the variation in light source intensity is eliminated from the torque
                 sensor output signal. The device has a 5% accuracy level, which is adequate for this
                 application.
                    A sensitive optical torque sensor based on the optical measure of the torsion
                 angle by using a sensitive polarimetric method has been demonstrated [42]; the tor-
                 sion angle has been measured with 0.001° accuracy. A birefringent torque sensor
                 [43] uses a photoelastic polymer illuminated by polarized light and experiencing tor-
                 sional strain. A two-dimensional fringe pattern is viewed through an optical polar-
                 izer. The strain that causes this observed image pattern is a complex function of the
                 torque applied to the shaft. A neural network can be trained with the fringe patterns
                 to activate the applied torque for both static shafts (accuracy level 1%) and rotating
                 shafts up to 1,500 rev/min (accuracy level 4%).
                    An optical torque sensor has been demonstrated that uses a modified moiré
                 fringe method for measuring torque in a rotating shaft [44]. The system utilizes two
                 circular gratings mounted concentrically at either end of the torsion shaft; one grat-
                 ing is ruled radially, and the other has rulings that are tangential to a small central
                 generating circle. Circular fringes are formed that move radially as the angular dis-
                 placement between the gratings charges; the fringe movement may be read out using
                 a CCD array.
                    Two 11-bit absolute position optical encoders have been used for torque
                 measurement with the torsion bar [45]. Seven additional bits provide interpolation
                 (relative) position determination between adjacent codes. An ASIC computes
                 the two optically encoded positions for speeds up to 1,600 rev/min. A tool-
                 holder torque sensor (spindle-mounted dynamometer) using an optical method has
                 been developed [46]. Torque is detected by monitoring the change of clearance
                 of a V-notch between two flanges, with a focused light ray from the side of the
                 cluck.
                    A miniaturized optoelectronic torque sensor with hysteresis and nonlinearity
                 less than 1% for maximum torque measurement of 0.15 Ncm in both directions has
                 been developed [47]. The torsion of a cross-spring-bearing moves a precision slit in
                 front of twin-photo diodes, transforming the torque into an electric signal. An inte-
                 grated optical torque measurement microsystem has been reported [48].


          7.5   Capacitive Devices


                 Noncontact torque measurement on a rotating shaft can be achieved by the use of a
                 capacitive sensor, although susceptibility of the telemetry circuits to radio frequency
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