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    数控机床的制造运作的方法!
    2020-2-1 18:08:07

    数控机床轨迹运动时间的相对关系分析相对论认为,根本不存在绝对静止的空间,不存在绝对同一的时间,所有时间和空间都是相对的,都是和运动的物体联系在一起的。对于任何一个参照系和坐标系,都只有属于这个参照系和坐标系的空间和时间。

    The relativity analysis of the moving time of the NC machine tool track the relativity theory holds that there is no absolute static space at all, there is no absolute same time, all time and space are relative, all are connected with the moving object. For any reference system and coordinate system, there is only space and time belonging to this reference system and coordinate system.

    根据时间的相对性:参照不同的物体运动,就会产生不同的时间。孤立的操作系统可以定义自己的时间;时间基准可以随意选择;有操作联系的事物只能选择一个时间作为标准时间。

    According to the relativity of time: different time will be generated by referring to the movement of different objects. Isolated operating system can define its own time; time benchmark can be selected at will; only one time can be selected as standard time for things related to operation.

    如果把数控加工系统看作是孤立系统,就可以根据需要定义时间。选择工艺过程的发展进程作为参考时间。参考时间用相对标准时间的变化速度和长度来度量。如:线切割机床利用电极间的电压变化过程,数控磨床磨削力变化过程,YAltintas,提出根据加工轨迹的几何曲率大小控制加工进程。选择影响工艺进程的主要因数作为数控系统孤立时间,使加工规划符合工艺要求。

    If the NC machining system is regarded as an isolated system, the time can be defined according to the needs. Select the development process of the process as the reference time. The reference time is measured by the speed and length of change relative to the standard time. For example, the WEDM uses the voltage change process between the electrodes, the CNC grinder grinding force change process, yaltintas, and proposes to control the processing process according to the geometric curvature of the processing path. The main factors that affect the process are selected as the isolated time of CNC system, so that the processing planning can meet the process requirements.

    运动微分方程的可表示成静态范函和动态范函的乘积。静态范函是几何映射算子和几何参数t对参考时间的变化率的乘积,动态泛函是参考时间对标准时间的变化率。因此,动态控制时,可以预先规划静态泛函,再适时引入动态参数。

    The differential equation of motion can be expressed as the product of static and dynamic norm functions. The static functional is the product of the change rate of the geometric mapping operator and the geometric parameter t to the reference time, and the dynamic functional is the change rate of the reference time to the standard time. Therefore, in dynamic control, static functional can be planned in advance and dynamic parameters can be introduced in time.

    运动过程可以这样描述:几何因素相对于参数t变化,参数t相对于参考时间变化:基于自定义时间的数控加工运动规划方法标准时间变化。为了使轨迹控制简化,可以选择几何参数t作控制参数。几何参数与时间是不相关的,它们之间的联系是人为给定的,如梯形速度规律,有限加速度规律,并且要在轨道的全程完成以上规律。这是根据空间位置的规划。

    The motion process can be described as follows: the geometric factors change with respect to the parameter t, and the parameter t changes with respect to the reference time; the standard time change of the NC machining motion planning method based on the user-defined time. In order to simplify the trajectory control, the geometric parameter t can be selected as the control parameter. Geometric parameters are not related to time, and the relationship between them is given artificially, such as trapezoid velocity law, finite acceleration law, and the above laws should be completed in the whole track. This is based on the planning of spatial location.

    运动规划的应用传统的位置控制存在难以解决的问题:用足够小的步长,不能解决位置及其导数的逼近,而且计算量大,即使是直线轨迹,控制也十分繁琐。运动参数是由位移参数求导而来,比位置参数更简单甚至有可能是常量。在轨迹运动中,位置参数是无穷变化,运动参数有可能是常量或阶次更低的变量。总之,运动参数控制比位置控制更简单,更全面。

    There are some problems in the application of traditional position control in motion planning: the approximation of position and its derivative can not be solved with a small enough step size, and the calculation is large, even for the linear trajectory, the control is very tedious. The kinematic parameters are derived from the displacement parameters, which are simpler than the position parameters and may even be constant. In the track motion, the position parameters are infinite, and the motion parameters may be constant or lower order variables. In a word, motion parameter control is simpler and more comprehensive than position control.