Abstract

Aiming at the high requirements of the experimental equipment for the measurement of high precision quartz flexible accelerometer resolution, the gravity measured by high precision tri-axial accelerometers was subdivided by the tri-axial turntable. Tri-axial quartz flexible accelerometers resolution measurement model was established and general mathematical expression for the resolution measurement was derived. Based on the mathematical expression, the effective angle range that satisfied the measurement condition was given out. Besides, the tri-axial quartz flexible accelerometers resolution measurement process was designed. Within the effective angle range, numerical simulations were performed and the simulation results showed that: the proposed method can theoretically measure tri-axial quartz flexible accelerometers of which the resolution was about 10 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">−6</sup> g. Then the tri-axial quartz flexible accelerometers resolution repetitive measurement experiments were carried out and the experimental results illustrated that: the difference between the measured value with the theoretical value is within <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$1~\mu \text{g}$ </tex-math></inline-formula> , which met the requirements for use. In addition, the resolution of tri-axial quartz flexible accelerometers can be measured at one time based on the designed process, demonstrating that the proposed method was valid.

Highlights

  • High precision tri-axial quartz flexible accelerometers are a decisive component of high accuracy gravity measurement system, and play an important part of high precision inertial navigation equipment [1]

  • In view of the above situation, this paper proposes a high precision tri-axial accelerometers resolution measurement method based on a tri-axial turntable

  • A tri-axial accelerometers resolution measurement method based on the tri-axial turntable is proposed in this paper

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Summary

INTRODUCTION

High precision tri-axial quartz flexible accelerometers are a decisive component of high accuracy gravity measurement system, and play an important part of high precision inertial navigation equipment [1]. Hu et al still used the dividing head for testing, but in the conventional test, the input axis of the accelerometer was tested near the plumb line instead of the horizon, which greatly reduced the sensitivity of the change of the gravity acceleration component of the input axis of the accelerometer to the rotation angle of the dividing head, significantly reducing the impact of the accuracy of the dividing head on the test results It is just a little improve based on the traditional method and detailed analysis is not given out [23]. The relationship between the measured gravity vector of each axis and γ , α and β are obtained, as shown in (4), (5) and (6) respectively Taking this position as the initial position for resolution measurement, rotate the outer frame, inner frame, and middle frame of the tri-axial turntable in turn for an angle of γ , α and β. GXA, gYA and gZA are expressed as (7), (8) and (9) respectively, which are the general mathematical expression for the resolution measurement

EFFECTIVE ANGLE RANGE SOLUTION
EXPERIMENTAL ANALYSIS
CONCLUSION
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