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Errors in derived kinematic variables determined from a fixed accelerometer configuration

L S Lustick, H G Williamson

    ISA Transactions
    |January 1, 1981
    PubMed
    Summary
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    This study analyzes errors in rigid body motion calculations using a 3-2-1 accelerometer setup. It quantifies kinematic variable inaccuracies due to accelerometer calibration errors at the Naval Biodynamics Laboratory.

    Area of Science:

    • Biomechanics
    • Kinematics
    • Instrumentation Engineering

    Background:

    • Deriving rigid body angular velocity from accelerometer data presents challenges due to unstable differential equations.
    • Previous research suggested redundant accelerometers or combined accelerometer-gyroscope systems to improve stability.

    Purpose of the Study:

    • To present errors in derived linear and angular kinematic variables using a specific 3-2-1 accelerometer configuration.
    • To analyze accelerometer errors including sensitivity, linearity, and orientation within Naval Biodynamics Laboratory (NBDL) experiments.

    Main Methods:

    • Quantified accelerometer error statistics through repetitive instrument calibrations.
    • Considered worst-case combinations of standard deviation errors in sensitivity, linearity, and orientation.

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  • Compared the performance of a six-accelerometer configuration against a least squares solution with three triaxial accelerometers.

    • Main Results:

    • Presented statistics of accelerometer errors (sensitivity, linearity, orientation) based on NBDL calibration techniques.
    • Identified worst-case error combinations impacting kinematic variable accuracy.
    • Evaluated the performance trade-offs between different accelerometer configurations.

    Conclusions:

    • The study quantifies the impact of specific accelerometer errors on kinematic measurements.
    • Provides insights into the limitations and performance of 3-2-1 accelerometer configurations for motion analysis.
    • Offers a basis for selecting appropriate instrumentation for acceleration experiments.