No abstract

D-optimal experiment design is accomplished [3][4][5][6]. Analytical solutions are deduced.(1) Error Model Equation ofthe Single AccelerometerThe model equation of accelerometer is defined as a series that mathematically relates the accelerometer output to the components of applied acceleration, angular velocity, and angular acceleration along the accelerometer reference axes. In respect that the excitation of high order of accelerometer model is so small in the test of gravitational field, the static error model equation of quartz accelerometers becomes [2]where E is accelerometer output in accelerometer output units (such as volts), ai' a p ' a o are applied acceleration components along the Input Axis(IA) , Pendulum axis(PA) and Output Axis(OA)is scale factor(output units per g), k} is corrected value of scale factor,KiP' K io are cross-coupling coefficients (glg2), e is measurement and process noise and unmodeled error(g).Assume that the accelerometer tumbles about OA in the gravitational field, then the component ofgravity isWhere G is the local acceleration of gravity, be is the error of angle-setting of table, 8 0 is the misalignment angle ofIA about OA. Then the error model equation of accelerometer tumbling about OA isAbstract-Model identification of accelerometer is one of the most pervasive problems in calibration test of accelerometer. A method of calibrating dual orthogonal accelerometers on two-axis table is presented to eliminate the effect ofthe angle-setting error on calibration, thus enhancing identification precision of the accelerometer. The correlation ofthe model coefficients ofdual orthogonal accelerometers is analyzed and the D-optimal experiment design is accomplished. Furthermore analytical solutions are deduced. The simulation experiment and measured data suggests that the standard deviation of identification of dual orthogonal accelerometers is one order of magnitude less than that of single accelerometer. Therefore, the precision of identifying the error model of accelerometer is improved.