Analytical Approach for Measurement of Spatial Angle with Inclination Sensor

This paper presents an approach for measurement of spatial rotation-angle with dual- axis inclination sensor in the case of non-vertical rotation axis.When the sensor is randomly installed on the rotation plane,there are three unpredictable position parameters:β,the angle between the rotation axis and level;α,the swing angle on the measuring plane;andγ,the angle between the sensor plane and the rotation axis.A rotation-angle model is established according to the relationship among measuring axes,rotation axis and the level,and the corresponding analytical equations are derived.The three position parameters and rotation-angle can be calculated with certain accuracy as the rotation axis gets non-vertical to the level.Experimental results show that the measuring accuracy reaches 0.2°within the range of±100°if the angle between the rotation axis and the level is less than 75°,which indicates the fine repeatability and accuracy of this model.