重力梯度传感器结构误差建模

机械精度设计在重力梯度传感器的结构设计过程中占有举足轻重的地位，因为结构误差对重力梯度仪输出结果的精度有很大影响。为此，采用建立数学模型的方法，根据测量原理分析加速度计输入输出关系，对理论输出结果和含有结构误差时的实际输出结果求差，得到结构误差方程。为保证重力梯度仪的测量精度，对主要结构误差方程中信号与结构误差的耦合项进行逐项分析，则可给出在不影响精度条件下，推导安装极限误差，为提出重力梯度传感器的结构所必须达到的机械精度以及载体平台稳定性的设计要求打下基础。

Modelling of the Structural Error in Gravity Gradient Instrument

Mechanical precision plays an important role in the structural design of the gravity gradient instrument, for the structural error has a great influence on the measurement result. Therefore, this paper focus on building mathematical model of the structural error by analyzing the working principle, input and output of the accelerometer. After that, the mechanical precision comes out by analyzing the coupling terms which contain both the output signal and the structural error. The following work can also provide a basis for the design of the stable platform on the carrier and signal extraction which is extraordinarily weak.