The Calculation Method of Three-Way Force Sensor Calibration
XI Benqian
Abstract
XI Benqian
Abstract
This paper established the three-way force sensor's general mathematical model from the abstract three input and three output mathematical model,then unfold the model as a first-order Taylor-series and ignored the error term like Lagrange remainder,finally get the three-way force sensor's canonical equations which used to calculated linear calibration. Take the one-way repeated loading in three directions respectively,and used the least square method to fit the output data corresponding to the load,after comparing the fitting result with the original canonical equations can determine its coefficient matrix,finally derived the calibration algorithm. Just assumed the three strain beam of sensors is orthogonal during the deriving of this algorithm,and considering the three-deformation coupling relationship at the same time,have not limited the specific structure of sensor,so this algorithm can be used in different structure's sensor. This algorithm provides a new train of thought and research methods for the calibration of multi-directional coupling type sensor.
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This paper established the three-way force sensor's general mathematical model from the abstract three input and three output mathematical model,then unfold the model as a first-order Taylor-series and ignored the error term like Lagrange remainder,finally get the three-way force sensor's canonical equations which used to calculated linear calibration. Take the one-way repeated loading in three directions respectively,and used the least square method to fit the output data corresponding to the load,after comparing the fitting result with the original canonical equations can determine its coefficient matrix,finally derived the calibration algorithm. Just assumed the three strain beam of sensors is orthogonal during the deriving of this algorithm,and considering the three-deformation coupling relationship at the same time,have not limited the specific structure of sensor,so this algorithm can be used in different structure's sensor. This algorithm provides a new train of thought and research methods for the calibration of multi-directional coupling type sensor.
Key concepts: Calibration, Coupling (piping), Algorithm, Series (stratigraphy), Remainder, Nonlinear system, Term (time), Mathematics