CAJ | 학술논문

在旋转圆盘上对称安装4只高精度加速度计，加速度计信号两两相加再相减，再解调制就可以得到重力梯度值。针对上述的4旋转加速度计，研究检测质量对其信号叠加的输出频域特征，推导的频域表达式证明输出中含有高次谐波，相邻谐波的频差是圆盘旋转频率的4倍，即谐波频率分别为6倍频、10倍频、14倍频等。利用stirling公式给出了各次谐波分量幅值的近似计算方法，并进行了数值仿真，结果表明检测质量与圆盘之间的距离越近，谐波分量的幅值越大。
재선전원반상대칭안장4지고정도가속도계，가속도계신호량량상가재상감，재해조제취가이득도중력제도치。침대상술적4선전가속도계，연구검측질량대기신호첩가적수출빈역특정，추도적빈역표체식증명수출중함유고차해파，상린해파적빈차시원반선전빈솔적4배，즉해파빈솔분별위6배빈、10배빈、14배빈등。이용stirling공식급출료각차해파분량폭치적근사계산방법，병진행료수치방진，결과표명검측질량여원반지간적거리월근，해파분량적폭치월대。
The gravity gradient can be obtained from the output signals of four symmetrically mounted high-precision accelerometers on a rotating disk. For this four rotating accelerometers, the frequency domain characteristics of the superposed signal about proof mass are studied. The deduced expressions of frequency domain prove that certain higher harmonic components exist in addition to the signal, and the harmonic frequency offset is four times that of the disc rotation frequency, while the harmonic frequency is 6 times, 10 times or 14 times, etc., respectively. Then the approximate calculation method of each harmonic coefficient is given by using the stirling formula. The numerical simulation results show that, the closer the distance between the proof mass and the disc, the greater the amplitude of harmonic component.