Research on micro-vibration measurement by a laser diode self-mixing interferometer

The self-mixing vibration signals are observed in the laser diode when the optical beam is back-scattered into the laser cavity which causes laser output power modulated. Based on these properties, a laser diode self-mixing vibrometer with wide dynamic range is proposed. This current investigation further reports new work to improve the accuracy and range of the measured vibration signals. Numerical simulations and experimental results are given and discussed. The experimental results show that the frequency measurement range can be achieved up to 22 kHz with 0.241% maximum relative error while utilizing the reflecting film. For amplitude measurement utilizing the same reflecting film, the error of measurement result is 4.77 nm which has approached nanometer order of magnitude.     

飞轮微振动与整星耦合特性参数补偿算法研究

为了提高飞轮与整星耦合特性影响成像像移理论预估的精度,提出了一种星上飞轮安装刚度和阻尼参数的数值补偿算法.首先,建立补偿算法数学模型,基于飞轮径向摇摆模态以及线性整星微振动传递函数模型,通过联合飞轮在专用测量平台上的扰振实测数据以及星上安装后所致成像像移实测数据构建优化函数,实现对星上飞轮安装刚度以及阻尼参数的补偿.其次,采用该算法对某型号卫星上的飞轮安装刚度以及阻尼进行了补偿和估计,最后对参数补偿前后的飞轮扰振所致像移分别进行理论预估与对比.对比结果表明:参数补偿后的预估像移数据较补偿前预估像移数据更接近实测像移数据且径向摇摆模态固有频率曲线更加明显,证明此参数补偿算法可行.本研究显著降低了整星微振动分析过程中飞轮在星上安装刚度与测试平台安装刚度不一致所带来的分析误差,为飞轮与整星耦合特性安装等效参数求解提供了一种思路.     

Lissajous figures in the application of micro-vibration measurement

Based on Michelson interferometer and phase generated carrier (PGC) homodyne demodulation technique, an optical interferometer system is built, and a novel method using the central angles of Lissajous figures to measure micro-vibration displacement is proposed. The Lissajous figures are obtained by synthesizing two interferometric signals that their vibration directions are orthogonal and their intensities are equal. Through theoretical analysis, software simulation and experimental test, it is concluded that the central angles of Lissajous figures have a linear relationship with the phase modulation coefficients and the micro-vibration displacements when the phase modulation coefficients are small. So the micro-vibration displacements can be directly obtained by measuring the central angles of Lissajous figures. The method is simple and convenient. The experimental results indicate that the micro-vibration displacements measuring range can reach 5-775 nm, with a resolution of about 5 nm.     

飞轮微振动对空间相机调制传递函数的影响

结合集成建模法和光线追迹法研究飞轮微振动对相机成像质量的影响.采用集成建模法,建立飞轮微振动的扰动模型、卫星和相机的有限元模型,进行瞬态响应分析,得到6个方向力或力矩单独作用下相机各反射镜随时间变化的位移.采用光线追迹法,由反射镜位移和入射光线,根据折射定律计算折射后光线的位置、方向及与光轴的夹角.由得到像面处的光斑坐标和位移,运用运动统计矩计算系统调制传递函数.结果表明:响应周期与激励周期无关;激励的作用时间长度和采样时间长度均会影响调制传递函数;不同方向振动激励造成的调制传递函数变化的大小不同,而不同方向对包含原光学系统的调制传递函数的影响类似仅振动对调制传递函数的影响;当振动分别作用My、Mz值时衰减最大,达到0.1左右.该方法较理论推导简便快捷,能获取微振动与调制传递函数的关系,为系统优化设计和隔振措施提供参考.     

Long distance real-time measurement of multi-points micro-vibration in region by digital holography

Many applications require micro-vibration measurement, especially multi-points detection at long distance in real-time. In this paper, a micro-vibration measurement approach based on digital holographic interferometry is proposed for middle-low frequency detection. It can be used to monitor irregular frequency/amplitude vibration in selected region over 10 m away simultaneously and synchronously. A series of experiments were conducted including real-time measurement of 300 Hz, 1 kHz, 2 kHz and 3 kHz constant frequency/amplitude periodic vibration, precision and frequency response tests with calibration of LDV, 1 kHz irregular amplitude vibration, irregular frequency/amplitude vibration as well as the real-time measurement and simultaneous display of multi-points vibration. The experimental results demonstrate the feasibility of the proposed method and reveal its unique advantages.