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

Active Publication Date: 2015-09-30
BEIJING UNIV OF TECH +2
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Problems solved by technology

[0004] At present, both of them have good results in their respective development processes, but there is no systematic solution to the comprehensive compensation method in the case of coupling

Method used

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  • Floyd algorithm-based space error compensation method
  • Floyd algorithm-based space error compensation method
  • Floyd algorithm-based space error compensation method

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[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:

[0114]

[0115] A...

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Abstract

The invention discloses a Floyd algorithm-based space error compensation method. The Floyd algorithm-based space error compensation method comprises the steps of building a space error model of a whole machine tool on the basis of a topology structure of the machine tool by utilizing an exponential matrix form of a spinor theory based on error measurement data, cutting down a high-order term of the space error model, and obtaining a basic equation of the space error model; continuously adjusting weight according to a Floyd shortest distance algorithm, iterating the weight to a basic range allowed by accuracy, obtaining an error compensation model, and achieving a compensation result by using lesser computation burden, wherein error compensation can be used for real-time compensation on error of machine tools in various complicated actual machining occasions. Compared with a classic error compensation algorithm ACO-BPN (Ant Colony Algorithm-based Back Propagation Neural Network) in an instance, simulation discovers that compared with the ACO-BPN compensation algorithm, the Floyd compensation algorithm has the characteristics that the compensation effect is good, the execution efficiency is high, the iteration frequency is less, and good robustness of the Floyd compensation algorithm is verified in a temperature changing environment.

Description

technical field [0001] The invention provides a machine tool space error modeling and a space error compensation method based on the model and Floyd algorithm, belonging to the field of CNC machine tool precision compensation model design. Background technique [0002] High-precision CNC machine tools are often used in modern production, especially for high-efficiency and complex curved parts, which are also an important part of processing and high-performance equipment manufacturing. The spatial error of the machine tool is the most important part affecting the machining accuracy. Thermal error and geometric error account for about 70% of all errors, especially in the case of precision and ultra-precision machining. In mechanical processing, the machining accuracy of the machine tool is ultimately determined by the relative displacement between the tool and the workpiece on the machine tool. The relative displacement between the tool and the workpiece on the machine tool c...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B19/404
CPCG05B19/404
Inventor 程强冯秋男蔡力钢赵宏伟顾佩华
Owner BEIJING UNIV OF TECH
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