Calibration Method for Six-Dimensional Force Sensors
Release Time:
2025-11-05
Calibration of multi-component force sensors aims to establish the relationship between the signal and the applied force. The calibration process can be expressed as a quadratic polynomial. Interestingly, this representation differs slightly from what’s typically found in domestic textbooks, where we usually place the force F on the left side of the equation. From the perspective of the calibration process itself, however, this arrangement seems more logical—after all, it’s the application of a specific force that directly yields the corresponding signal.
During the calibration process, the applied load F is known, while the signal Ri is obtained via a high-precision data acquisition system. Here, ε represents the error term. For a six-component force sensor, there are 36 first-order coefficients and an additional 126 second-order coefficients. Of course, acquiring these coefficients is limited by the capabilities of the calibration equipment, and the magnitude of the calibration error is also closely tied to the uncertainty inherent in the calibration system.
Some foreign calibration methods for six-axis force sensors are nothing more than brief reading notes. In reality, the actual process of calibrating and processing data is quite complex, often requiring the use of least-squares methods—as well as various data-processing techniques. Fortunately, there are many well-established codes or software tools available to assist in performing multivariate regression tasks efficiently.
In the system designed for calibration, there’s even sophisticated software that directly provides calibration results—calibration personnel can complete the process simply by clicking a mouse. However, as a qualified force-sensing engineer, you should first gain a deep understanding of the underlying principles and background knowledge. Only then can you effectively address challenges during the calibration process and continuously enhance the quality of calibration work.
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