Geometric error analysis of an over-constrained parallel tracking mechanism using the screw theory

This paper deals with geometric error modeling and sensitivity analysis of an overconstrained parallel tracking mechanism. The main contribution is the consideration of overconstrained features that are usually ignored in previous research. The reciprocal property between a motion and a force is applied to tackle this problem in the framework of the screw theory. First of all, a nominal kinematic model of the parallel tracking mechanism is formulated. On this basis, the actual twist of the moving platform is computed through the superposition of the joint twist and geometric errors. The actuation and constrained wrenches of each limb are applied to exclude the joint displacement. After eliminating repeated errors brought by the multiplication of wrenches, a geometric error model of the parallel tracking mechanism is built. Furthermore,two sensitivity indices are defined to select essential geometric errors for future kinematic calibration. Finally, the geometric error model with minimum geometric errors is verified by simulation with SolidWorks software. Two typical poses of the parallel tracking mechanism are selected, and the differences between simulation and calculation results are very small. The results confirm the correctness and accuracy of the geometric error modeling method for over-constrained parallel mechanisms.     

Semi-stochastic modification of second-order radial derivative of Abel–Poisson’s formula for validating satellite gravity gradiometry data

The geoid can be used to validate the satellite gravity gradiometry data. Validation of such data is important prior to their downward continuation because of amplification of the data errors through this process. In this paper, the second-order radial derivative of Abel–Poisson’s formula is modified stochastically to reduce the effect of the far-zone geoid and generate the second-order radial derivative of geopotential at 250 km level. The numerical studies over Fennoscandia show that this method yields the gradients with an error of 10 mE and when the long wavelength of geoid is removed from the estimator and restored after the computations (remove–compute–restore) the error will be in 1 mE level. We name this method semi-stochastic modification. The best case scenario is found when the degree of modification of the integral formula is 200 and the long wavelength geoid to degree 100 is removed and restored. In this case the geoid should have a resolution of 15′ × 15′ and the integration should be performed over a cap size of 3°.     

电离层色散对DS/FH-BPSK信号解调性能影响

相位连续的DS/FH(Direct Sequence/Frequency Hopping,直接序列/跳频)扩频信号的扩频带宽比直扩信号更宽,在电离层的非线性相位以及跳频频点变化这两者的共同作用下,该信号的BPSK(Binary Phase Shift Keying,二相相移键控)解调性能明显恶化。依据随机变量概率分布的数学规律,推导得到了在背景电离层色散条件和跳频频点均匀分布前提下,某种DS/FH卫星测控信号的引导信号和长周期信号BPSK误码率的变化规律,并在特定信号参数条件下进行了误码率仿真。     

基于双三次B样条插值的薄壁件加工误差补偿方法

以薄壁件加工过程为研究对象,针对薄壁件加工的误差预测、补偿问题,提出一种基于双三次B样条插值的薄壁件加工误差补偿方法.在获得薄壁件历史加工数据的基础上,运用插值理论建立误差模型,得到误差分布规律,考虑切削力与弹性变形之间的迭代影响建立误差补偿方法.该方法综合考虑了弹性变形、热误差、几何误差等多种误差源,通过数值分析方法建立误差模型,避免以往薄壁件误差建模中误差源分析不全、解析困难的弊端,最终以薄板工件为例,通过实验验证,应用该误差补偿方法可有效提高薄壁件的加工精度.     

智能机床的误差补偿技术

误差补偿技术是智能机床精度提高与保持的关键技术之一.分析了国内外机床误差补偿技术研究现状,提出智能机床误差补偿技术总框架;总结了智能机床误差源、误差元素、几何与热误差的误差元素模型及建模方法,以及典型的误差补偿方法;研究了力误差补偿技术、基于零件在线测量的误差综合补偿技术;最后,对未来智能机床误差补偿技术的发展重点进行展望.     

无定向激光陀螺捷联惯组标定方法的对比研究

对三种无定向激光陀螺捷联惯组标定方法进行了对比研究,详细分析了各种方案的标定原理,提出了利用标准差作为评价标定方法优劣的指标.结合对某一激光陀螺捷联惯组标定试验结果的分析,得到了在无北向基准的情况下,三种标定方法在标定时间和标定精度两个指标上的对比结果,为无定向激光捷联惯组的标定提供了指导,具有较大的工程应用价值.     

根据两颗导航星信息估计捷联惯导系统误差的一种方法

针对高机动短时间飞行的飞行器,介绍了一种根据它相对2颗导航卫星的伪距离和伪速度信息,估计捷联惯导系统定位和定速度误差的方法.考虑到由确定飞行器相对每颗星的径向距离和速度的非线性方程施加的约束,根据这些误差矢量长度最小值的条件确定误差值.用空间解析几何法得出了计算捷联惯导系统误差估值的最终算法,这种算法能给出非线性最小值问题的精确解.     

线对空间回转轴线的平行度测量方法的研究

提出一种线对空间回转轴线平行度的测量方法，并进行误差分析。     

我国BPL时号的频率控制系统及结果分析

根据我国现行ＢＰＬ时号的频率控制系统，分析ＴＢＰＬ时号频率控制系统的缺陷，对目前ＢＰＬ时号的频率稳定性进行了评价，提出了一种新的频率控制方案。     

Determination of optimal samples for robot calibration based on error similarity

Industrial robots are used for automatic drilling and riveting.The absolute position accuracy of an industrial robot is one of the key performance indexes in aircraft assembly,and can be improved through error compensation to meet aircraft assembly requirements.The achievable accuracy and the difficulty of accuracy compensation implementation are closely related to the choice of sampling points.Therefore,based on the error similarity error compensation method,a method for choosing sampling points on a uniform grid is proposed.A simulation is conducted to analyze the influence of the sample point locations on error compensation.In addition,the grid steps of the sampling points are optimized using a statistical analysis method.The method is used to generate grids and optimize the grid steps of a Kuka KR-210 robot.The experimental results show that the method for planning sampling data can be used to effectively optimize the sampling grid.After error compensation,the position accuracy of the robot meets the position accuracy requirements.