Which directions do the xyz axes of a machining center point to

The XYZ axis directions of the machining center follow the right-hand Cartesian coordinate system, where the Z-axis is parallel to the spindle direction (positive when the tool is far from the workpiece), the X-axis is horizontally parallel to the workpiece clamping surface (positive when the tool is to the right in vertical machines), and the Y-axis is determined by the right-hand rule (perpendicular to the X and Z-axes).

Definition of the XYZ axis directions

1. Z axis:
   

Parallel to the spindle axis of the machine tool, the positive direction is the direction in which the tool is away from the workpiece. ‌ ‌

If the machine tool has no spindle (such as a gantry milling machine), the direction perpendicular to the workpiece clamping surface is the Z-axis. ‌ ‌

2. X axis:

Horizontal and parallel to the workpiece clamping plane, in vertical machine tools, when the operator faces the machine tool, turning right is the positive direction. In horizontal machine tools, it is the radial movement direction of the workpiece (away from the spindle is positive). ‌ ‌

If the workpiece rotates (such as on a lathe), the X-axis is along the radial direction of the workpiece, and the tool exit direction is positive. ‌ ‌

3. Y axis:

According to the right-hand rule, if the thumb points to +X, the index finger points to +Z, and the middle finger is perpendicular, it is the +Y direction

Application of the right-hand rule

Straighten your right hand, with your thumb, index finger and middle finger perpendicular to each other.

The thumb represents the positive direction of the X-axis

The index finger represents the positive direction of the Y-axis

The middle finger represents the positive direction of the Z-axis. ‌ ‌

Explanation of Special Circumstances

1. differences between vertical and horizontal machine tools ‌ :

The Z-axis of the vertical machine tool is vertical and the X-axis is horizontal to the right. The Z-axis of a horizontal machine tool is horizontal, and the X-axis is radially along the workpiece. ‌ ‌

2. The reverse rule when the workpiece moves ‌ : if the workpiece moves (such as worktable feed), the positive direction of the coordinate axis is opposite to its actual movement direction. ‌ ‌