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The arc data interpolation error by secant, tangent and chord, and the smallest error by secant mode is analyzed in this paper. The relation between the maximum radial error and arc radius and approach step-length in the secant mode of arc data interpolation in CNC system is detailed.

在分析数控系统圆弧数据插补割线方式较切线、内接弦插补方式误差更小的基础上,讨论了数控系统圆弧数据插补割线方式中最大径向误差与圆弧半径和逼近步长的关系。

Relation between geometrical contour error of inner corner and machining condition is investigated by the experimental plan of Taguchi quality design. Through the quantitative analysis, the geometrical contour error is mainly affected by wire tension and flushing pressure. By regression analysis, a mathematical model is established to estimate cutting path error of corner cutting. According to the estimated cutting path error, the program path is corrected.

研究首先以田口式品质设计实验计画法来探讨加工参数与隅角形状误差间的关系,从变异数分析的结果得知,线张力与冲水压力是对於隅角精度影响最显著因子,应用回归分析建立转角加工路径误差量估测模式,利用此模式以预测不同加工条件下隅角加工路径误差量,依据预测加工路径误差量计算轨迹补偿量,实验结果证明本文所提出轨迹补偿策略可有效提高60%之隅角加工精度。

Error analysis of direct georefencing is divided into two parts: for attitude angle error, formula is determined by the error of the direction cosine matrix, for other errors, formula is determined by covariance matrix.

为了分析各误差因素对定位精度的影响,分两步建立各误差因素和定位精度的表达式,对于姿态角误差的影响,为避免欧拉角之间的耦合,按照方向余弦矩阵误差定义求取,对于其余误差的影响,采用协方差矩阵求取。

Second, the data checking and correction process, to understand the various sources of measurement error, its three main areas: equipment error (determined by the instrument itself, is an objective source of error), observation error (due to the technical level personnel a result of belonging to a subjective source of error), external influence error (subject, such as temperature, atmospheric refraction effects of external factors such as these factors are also constantly changing and difficult to control, belonging to a variable source of error).

其次,在对数据的检查和矫正的过程中,明白了各种测量误差的来源,其主要有三个方面:仪器误差(仪器本身所决定,属客观误差来源)、观测误差(由于人员的技术水平而造成,属于主观误差来源)、外界影响误差(受到如温度、大气折射等外界因素的影响而这些因素又时时处于变动中而难以控制,属于可变动误差来源)。

In this paper, firstly, the new combined error model of cumulative geoid height influenced by three error sources including the inter-satellite range-rate of K-band ranging system, orbital position of GPS receiver and non-conservative force of accelerometer from GRACE satellites is established using the semi-analytical method. Secondly, the dependability of error models is demonstrated based on matching relationship among the accuracy indexes of key payloads. Finally, the accuracy of global gravitational field up to degree and order 120 is effectively and rapidly estimated from GRACE Level 1B measured observation errors of the year 2006 publicized by the Jet Propulsion Laboratory in the USA, and the cumulative geoid height error is 18.368 cm at degree 120, which preferably accords with the Earth's gravitational field model EIGEN-GRACE02S provided by the GeoForschungsZentrum Potsdam in Germany.

首先基于半解析法建立了新的GRACE卫星K波段测量系统星间测速、GPS接收机轨道位置和加速度计非保守力误差联合影响累计大地水准面的误差模型;其次,基于各关键载荷精度指标的匹配关系,论证了误差模型的可靠性;最后,基于美国喷气动力实验室公布的2006年的GRACE Level 1B实测误差数据,有效和快速地估计了120阶全球重力场的精度,在120阶处累计大地水准面的精度为18.368 cm,其结果和德国地学研究中心公布的EIGEN-GRACE02S全球重力场模型符合较好。

The evaluation method and algorithm of shape error (roundness, plane straightness, space straightness, cylindricity) were discussed. A new kind of algorithm, namely mesh searching method, which can be used to evaluate the roundness error, plane straightness error, space straightness error and cylindricity error, were put forward. With this algorithm, the shape error can be obtained by transferring the distance formula repeatedly and simple judgment without linearzing the distance formula (from point to point or point to line) and choosing optimal direction and step length.

对形状误差(圆度、平面直线度、空间直线度、圆柱度)的评定方法及算法进行了讨论,提出了一种评价圆度误差、平面直线度误差、空间直线度误差及圆柱度误差的新算法——网格搜索法,该算法不需要对距离公式线性化,也不需要选定优化方向和优化步长,只需重复调用距离公式和简单的判断即可得到符合定义的形状误差。

In the paper, a generalized error model for the robots is set up by using DH coordinates. Moreover, a new analytical technique called"analysis on the error prominency factors for the robot pose error"is proposed. Numerically, the error prominency factor can express the extent of influence on the pose error of the end effector resulted form every DH parameter error within the whole working space of the robot.

在这一研究过程中,除了建立了用DH坐标描述的机器人末端位姿误差和轨迹误差的通用模型之外,还提出了一种新的机器人位姿误差分析技术——机器人位姿误差的显著性分析法。

The conditions to measure accurately and the principles to select parameters of the multi— probes EST method are proposed, and the theoretical research, computer imitation and the experiment on a machine tool prove that these principles and suggestion are necessary and effective. The influence of the initial value errors of the probes, the installation error of the probes system, and the remaining error caused by the radical error motion are analyzed quantitively on the measurement accuracy of the multi—probes EST method. The influence of the error caused by the probe's axes which is not in a plane and the perpendicularity error of the plane which the probe's axes is in to the stational axis are discussed on the measurement results.

结合理论分析,对这些EST方法进行了计算机仿真分析和研究,重点研究了这些方法的应用条件和误差分离精度,所得出的结论是:三测头法EST基本上能实现各项误差的完全分离,适于在位测量使用;二测头法在恰当地选择测头安装角的条件下,可以得到较高测量精度,适于大型零件圆度、圆柱度、径向圆跳动和全跳动的在位测量;对置两测头时域法可以在一定程度上改善单测头法测量精度,但对随机径向误差无能为力;对置两测头频域法存在严重的谐波损失。

It is shown by the systematic error analysis that trajectory error is mainly determined by the measurement error in azimuth and elevation angle, rather than the laser ranging error which is normally taken into consideration.

系统误差分析结果表明,影响导弹末区轨迹测量精度的主要因素是测量设备的方位角和俯仰角测量误差,而不是通常认为的激光测距误差。

In order to evaluate aiming error of missile on the warship or on the submarine, including the error of warship position, the error of reference azimuth and the error of transfer measurement given by the navigation system, and try to divided them from the general error, it is highly important that we estimate and evaluate missile system of mobile bedding launching.

为了评估从舰船/潜艇上发射导弹的瞄准误差,包括舰船导航系统给定的船位误差、基准方位误差及其传递测量误差,并试图把它们从总的瞄准误差中分离出来,这对于动基座发射导弹武器的瞄准精度的评价极为重要。

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