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Fig. 14. Measurements with the Mechworks triaxial accelerometer: (a) acceleration measurements and (b) tilt angle measurements using (13).

Figure 14 Measurements with the Mechworks triaxial accelerometer: (a) acceleration measurements and (b) tilt angle measurements using (13).

Related Figures (16)

Fig. 2. Calibration procedure: the proposed calibration method requires six different tilt angle measurements to determine six calibration parameters. Fig. 1. Flowchart diagram of the proposed triaxial accelerometer calibration method.
Fig. 2. Calibration procedure: the proposed calibration method requires six different tilt angle measurements to determine six calibration parameters. Fig. 1. Flowchart diagram of the proposed triaxial accelerometer calibration method.
where Comes represents the calculated gain factor of each axis at the 7th iteration, Bysies represents the calculated bias of each axis at the 2th iteration, Aaxis, x 18 the estimated acceleration of each axis at the kth iteration, Gaxis, x 18 the estimated gain factor of each axis at the kth iteration, and Baxis, x is the estimated bias of each axis at the kth iteration. Given that the true gain factors are real positive numbers and the true biases are real numbers, the initial estimated gain factor of each axis (Gaxis,0) can be chosen from any positive real number, and the initial estimated bias of each axis (Baxis,0) can be chosen from any real number. accelerometer. To implement an iterative method, (2) should be rewritten so that it fits the method. Thus, (2) is rewritten as
where Comes represents the calculated gain factor of each axis at the 7th iteration, Bysies represents the calculated bias of each axis at the 2th iteration, Aaxis, x 18 the estimated acceleration of each axis at the kth iteration, Gaxis, x 18 the estimated gain factor of each axis at the kth iteration, and Baxis, x is the estimated bias of each axis at the kth iteration. Given that the true gain factors are real positive numbers and the true biases are real numbers, the initial estimated gain factor of each axis (Gaxis,0) can be chosen from any positive real number, and the initial estimated bias of each axis (Baxis,0) can be chosen from any real number. accelerometer. To implement an iterative method, (2) should be rewritten so that it fits the method. Thus, (2) is rewritten as
SIMULATION RESULTS WITH DIFFERENT GAIN FACTORS AND BIASES Fig. 3. Tilt angle contents of the simulations: tilt angles for (a) Simulation 1, (b) Simulation 2, (c) Simulation 3, (d) Simulation 4, and (e) Simulation 5.
SIMULATION RESULTS WITH DIFFERENT GAIN FACTORS AND BIASES Fig. 3. Tilt angle contents of the simulations: tilt angles for (a) Simulation 1, (b) Simulation 2, (c) Simulation 3, (d) Simulation 4, and (e) Simulation 5.
Fig. 4. Experimental system setup.
Fig. 4. Experimental system setup.
Fig. 5. Colibrys triaxial accelerometer on a three-way milling vise, the sensor axes (XY), and the fixed frame axes (xy).
Fig. 5. Colibrys triaxial accelerometer on a three-way milling vise, the sensor axes (XY), and the fixed frame axes (xy).
Fig. 7. Calibration of the SF3000L accelerometer system when the initial estimations of biases are 0 V: experiment and simulation results Fig. 6. Rotation sequence of a triaxial accelerometer on a three-way milling vise after calibration and the fixed frame (xyz)
Fig. 7. Calibration of the SF3000L accelerometer system when the initial estimations of biases are 0 V: experiment and simulation results Fig. 6. Rotation sequence of a triaxial accelerometer on a three-way milling vise after calibration and the fixed frame (xyz)
Fig. 8. Calibration of the SF3000L accelerometer system when the initial estimations of biases are 10 V: experiment and simulation results
Fig. 8. Calibration of the SF3000L accelerometer system when the initial estimations of biases are 10 V: experiment and simulation results
Fig. 10. Error comparison among the RMS acceleration error, the maximum acceleration error, and the margin of error of the SF3000L triaxial accelerome- ter system. Fig. 9. Measurements with the SF3000L triaxial accelerometer system: (a) acceleration measurements and (b) tilt angle measurements using (13)
Fig. 10. Error comparison among the RMS acceleration error, the maximum acceleration error, and the margin of error of the SF3000L triaxial accelerome- ter system. Fig. 9. Measurements with the SF3000L triaxial accelerometer system: (a) acceleration measurements and (b) tilt angle measurements using (13)
Fig. 11. Triaxial accelerometer that consists of two biaxial accelerometers, the sensor axes (XY), and the fixed frame axes (xy).
Fig. 11. Triaxial accelerometer that consists of two biaxial accelerometers, the sensor axes (XY), and the fixed frame axes (xy).
Fig. 12. Calibration of the Mechworks triaxial accelerometer system when the initial estimations of biases are 2.5 V: experiment and simulation results
Fig. 12. Calibration of the Mechworks triaxial accelerometer system when the initial estimations of biases are 2.5 V: experiment and simulation results
Fig. 13. Calibration of the Mechworks triaxial accelerometer system when the initial estimations of biases are 10 V: experiment and simulation results.
Fig. 13. Calibration of the Mechworks triaxial accelerometer system when the initial estimations of biases are 10 V: experiment and simulation results.
Fig. 15. Error comparison among the RMS acceleration error, the maximum acceleration error, and the margins of error of the MA-A202 and MA-A210 accelerometer system.
Fig. 15. Error comparison among the RMS acceleration error, the maximum acceleration error, and the margins of error of the MA-A202 and MA-A210 accelerometer system.
Related topics:
Iterative MethodsInstrumentation and Measurement ScienceElectrical and Electronic Engineering
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