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Extended Fourier amplitude based extraction method of machine tool important geometric error source

A technique for geometric errors and extraction methods, applied in special data processing applications, instruments, electrical digital data processing, etc., and can solve problems such as no solution.

Active Publication Date: 2015-11-25
BEIJING UNIV OF TECH
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Problems solved by technology

[0006] At present, the local sensitivity analysis method and the global sensitivity analysis method have good applications in their respective development processes. However, there is no systematic solution to the sensitivity analysis problem in the case of geometric error coupling of machine tools.

Method used

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  • Extended Fourier amplitude based extraction method of machine tool important geometric error source
  • Extended Fourier amplitude based extraction method of machine tool important geometric error source
  • Extended Fourier amplitude based extraction method of machine tool important geometric error source

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Embodiment Construction

[0136] Calculation example: Take a three-axis linkage CNC machining machine tool as an example ( image 3 )

[0137] Step 1: Establish the spatial comprehensive error model of the machine tool based on the screw theory

[0138] According to the exponential matrix form of the spinor theory, each movement 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 topological structure of the machine tool ( figure 2 ) Establish the spatial error model of the machine tool.

[0139] Step 1.1 The exponential matrix form of spinor theory

[0140] 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 spin amount. The unit spin in Plücker coordinates is as follows:

[0141] Ψ=[k T u T ] T =[k 1 ,k 2 ,k 3 ,u 1 ,u 2 ,u 3 ] T (40)

[0142] To express the arbitrary...

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Abstract

The invention discloses an extended Fourier amplitude based extraction method of a machine tool important geometric error source. Based on error measuring data, by use of an index matrix form of a screw theory, on the basis of the topology structure of a machine tool, an integral space error model of the machine tool is established, a high-order term of the error model is eliminated, and a basis equation of the error model is obtained. According to an EFAST global sensitivity analysis method, through selecting a proper conversion function, the error model is converted into a one-dimensional function from an eighteen-dimensional function, Fourier series expansion is carried out on the one-dimensional function, and a model caused by each parameter and a total variance of model output can be obtained. The EFAST method can simultaneously examine the influences exerted by change of multiple geometric errors on the result of a spinor error model and can also analyze the direct and indirect influences exerted by change of each geometric error on the model result, and the method provided by the invention can be applied to extraction of key geometric error terms having quite large influences on processing precision of the machine tool.

Description

Technical field [0001] The invention provides a method for extracting important geometric error sources of machine tools based on extended Fourier amplitude, and belongs to the field of precision design of numerical control machine tools. Background technique [0002] High-precision CNC machine tools are often used in modern production, especially in high-efficiency and complex curved parts, and this is also an important part of manufacturing and high-performance equipment manufacturing. The spatial error of the machine tool is the most important part that affects the machining accuracy, and the geometric error accounts for about 40% of all errors, especially in the case of precision and ultra-precision machining. In machining, 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 can be calculated by ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B19/18G06F19/00G06F17/50
CPCG05B19/18G06F30/00G16Z99/00
Inventor 程强孙丙卫赵宏伟冯秋男刘志峰
Owner BEIJING UNIV OF TECH
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