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Phase velocity error caused by position error of microtremor observation array is computed under different conditions such as two different dispersive phase velocity models of Rayleigh wave, three kinds of radius, 19 kinds of observation position mode and 6 types of position error.

为研究地脉动观测台阵中观测点之间的定位误差带来的影响,计算了在两种瑞利波频散模型、3种不同的圆周半径以及19种观测位置等多种情况下由6种定位误差引起的瑞利波相速度相对误差,结果表明:由于圆周上观测点数目有限,在不存在定位误差时,相速度误差也是存在的,随观测点位置的不同,相速度相对误差存在差异,其最大值约为最小值的3倍。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次,在"椭圆Galerkin投影"算子的误差估计的基础上,对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计,半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的,全离散的误差估计表明所产生的误差不但与影响域半径r有关,而且与离散时间变量的步长τ及其离散方式有关。

On the basis of the study on the mathematical model of the closed-loop location control, the analysis of contour error in the process motion control and error calculation model, according to the lack of using normal contour error model not to calculate contour error of curve in real-time, combining real-time contour error compensation control strategy and fuzzy logic theory, the fuzzy logic and real-time contour error calculation based self-discipline control strategy is proposed.

2在研究闭环位置控制数学模型、加工轮廓运动控制中的误差分析和轮廓误差计算模型的基础上,针对利用一般运动轮廓误差计算模型不能实时计算出曲线轮廓误差的不足,结合实时轮廓误差补偿控制策略和模糊逻辑理论,研究了基于模糊逻辑理论和实时误差计算的轮廓自律控制策略。

This paper stated the application of parallel link mechanism in modern machine tools,set up the error analysis as to parallel link mechanism in the virtucal-axis machine tool,derived the double triangular error equations of parallel link mechanicsm in its horizontal posture,analyzed the linearity and non-singularity of the error equations,thus giving the normal splution to the horizontal posture error.

该文对并联机构在现代机床上的应用作了论述,建立了虚拟轴机床并联机构的一种误差分析方法,应用坐标变换原理导出了双三角并联机构水平姿态时的误差方程组;分析了误差方程组的线性和非奇异性,给出了水平姿态时的位姿误差正解;对工作空间中心线的误差分布规律进行了仿真,绘制了其误差分布曲线。

It is pointed out that the error of indication E0 for the calibrated test length which are measured when the offset length between the ram axis and the stylus tip is zero shall neither exceed the maximum permissible error MPEE0 nor exceed 1/3 of the probe error,that the repeatability of E0 shall neither exceed the maximum permissible error MPE Rnor exceed the repeatability error of the probe,and that if the measuring data is rejected in acceptance and reverification,measurement must be carried at least 5 times at the same position for reducing the possibility of misjudgement.

提出探测轴探针针头零偏置长度的校准测试长度的示值误差E0应不超过最大允许校准测试长度的示值误差MPEE0,且不应超过测头误差的1/3;E0的重复性误差R不应超过最大允许重复性误差MPER,且不应超过测头的重复性误差。建议验收校准测量数据超差剔除后,必须在相应位置重复测量5次以上,以减小误判的可能性。

According to the definition of axis straightness error ,a mathematical model was developed to evaluate axis straightness error by way of least square method in the rectangular coordinates.

根据轴线直线度误差的定义,建立了在直角坐标采样时该项误差的最小二乘评定法数学模型,该模型的采样数据不需要等角度间隔采样;并用计算机进行仿真分析·结果表明,所建立的数学模型编程简单,计算出的轴线直线度误差值与真实情况的误差小于 10 -6μm·因此由本模型引入的误差可忽略不计·所建立的数学模型为研制形位误差虚拟测量系统提供了理论基础

The disturbance model can give the prediction for all the 95 shock events, while STOA model works for 89 events and ISPM model for only 72 events. We arrive at 25.26% percentage of all the 95 events with the relative time error less than 10%, 50.53% of all the events with the relative time error less than 20%, 65.26% of all the events with the relative time error less than 30%, 31.58% of all the events with the relative time error between 60%~80

实验表明,我们的模型在所有95个事件中,渡越时间相对误差小于10%的事件数占总事件数的25.26%;相对误差小于20%的占总事件数的50.53%;相对误差小于30%的占总事件的65.26%;相对误差在30%~60%的之间的事件数有30个,占总事件的31.58%;有3个事件相对误差在60%~80%之间,没有哪个事件相对误差大于80%。95个事件中我们的扰动传播模型能对所有事件进行分析给出预报值,STOA模型能给出89个预报值,而ISPM模型则只能给出72个。

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 Chapter 2, we consider the error bound and the auxiliary problem algorithm for the generalized linear complementarity problem over a polyhedral cone: First, we give an absolute and a relative global error bound for GLCP and nondegenerate GLCP, respectively, and then we explore the properties of the solution set of the problem, based on which we establish another absolute and relative error bound for GLCP which is much exacter compared with the result above.

第二章主要研究了闭凸锥上广义线性互补问题的误差界及基于其上的一个求解GLCP的辅助问题算法:(1)给出了GLCP的全局绝对误差界和在有非退化解时的全局绝对误差界及其相对误差界;(2)对GLCP的解集结构进行了探讨,并利用得到的结果给出了GLCP的另一个全局绝对误差界和相对误差界估计;(3)我们提出了一个求解GLCP的辅助问题算法,并证明在适当条件下该算法具有全局收敛性。

Error analysis In order to analysis the pose error of the hexapod machine tool, considering the characteristics of the parallel mechanism,"analysis on the error prominency factors for the hexapod machine tool pose error"is proposed. Numerically, the error prominency factor can express the influence on the pose error of the tool resulted from the mechanism parameter error within the whole workspace.

四、位姿误差分析为了定量地对并联机器人机床位姿误差进行分析,结合并联机构的特点,首次提出了&并联机器人机床位姿误差放大因子分析法&,因位姿误差放大因子是反映机床机构参数误差对刀具末端误差影响大小的机床工作空间内的统计值,因此既可作为机床结构参数精度设计的依据又可对机构参数进行优化。

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