Principle Error Analysis of Three-Point Supporting Type Barycenter Measurement System
Taking elastic deformations of the platform and sensors into consideration, a simplified model of three-point supporting type barycenter measurement system was built. The tilt-angle calculation formula of the measured object caused by elastic deformations was obtained through the physical and geometrical analysis. Then the principle error of barycenter eccentricity was calculated in measurement process. On study of the principle error expression, it was concluded that measurement value of barycenter eccentricity is greater than the actual; the value of the principle error is proportional to the weight, the barycenter height and the actual barycenter eccentricity of the measured object, and is inversely proportional to the square of the distributing radius of sensors, the synthetic stiffness of the stacking part of platform and sensor. But the principle error has nothing to do with the phase angle of barycenter. Finally, simulation experiments were done using Adams. The experimental results agree well with the conclusions of theoretical analysis.