Floyd algorithm-based space error compensation method
A technology of space error and compensation method, applied in computer control, instrument, simulator, etc., can solve problems such as no solution
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[0107] Calculation example: Take the five-axis linkage CNC machine tool as an example ( Figure 6 )
[0108] Step 1. Establish the spatial comprehensive error model of the machine tool based on the screw theory
[0109] According to the exponential matrix form of the screw theory, each moving part of the machine tool is abstracted into a 6×1 vector form. The motion form and error are modularized and expressed in the form of an exponential matrix. According to the topology of the machine tool ( Figure 7 ) to establish the spatial error model of the machine tool.
[0110] Step 1.1 Exponential matrix form of spinor theory
[0111] The motion of any rigid body can be decomposed into two parts: translational motion along the axis and rotational motion around the axis. Each component can be regarded as a screw. The unit spinor in Plücker coordinates is as follows:
[0112]
[0113] To express any form of motion of a rigid body in space, there are:
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[0115] A...
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