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Modeling Method of Geometric Error Screw Theory for CNC Machine Tool

A technology of geometric error and modeling method, which is applied in the field of CNC machine tools, and can solve the problem that the six-dimensional pose error of the machine tool cannot be directly displayed and expressed in a unified manner.

Inactive Publication Date: 2017-02-08
TIANJIN UNIV
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Problems solved by technology

The method of homogeneous coordinate transformation matrix is ​​the most commonly used modeling tool, but this modeling method cannot directly obtain the unified display expression of the six-dimensional pose error of the machine tool

Method used

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  • Modeling Method of Geometric Error Screw Theory for CNC Machine Tool
  • Modeling Method of Geometric Error Screw Theory for CNC Machine Tool
  • Modeling Method of Geometric Error Screw Theory for CNC Machine Tool

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Embodiment Construction

[0030] The specific implementation manner of the present invention will be further described in detail below in conjunction with the accompanying drawings and examples.

[0031] Step 1. Establish the geometric error model of the machine tool kinematic chain

[0032] like figure 1 As shown, the global coordinate system R is established at any point O of the bed, and the instantaneous reference coordinate system R' is established at the reference point O' at the end of the kinematic chain, and R' is always parallel to R. In order to describe the effect of each geometric error source in the kinematic chain on the pose error of the end member of the kinematic chain, a conjoined coordinate system R is established on the i-th kinematic pair reference point i . At the same time, a conjoined coordinate system R is established at O' f+1 , and the kinematic chain is in the initial state when R f+1 Consistent with the R' direction.

[0033] According to the structural characteristic...

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Abstract

The invention discloses a geometric error screw theory modeling method of a numerical control machine tool, comprising: step 1, establishing a global coordinate system R at any point of the bed for the kinematic chain of the numerical control machine tool, and establishing an instantaneous reference coordinate at a reference point at the end of the kinematic chain System R', establish a conjoined coordinate system Ri on each kinematic pair; establish a geometric error model of the machine tool kinematic chain that includes position-independent geometric errors and non-position-independent geometric errors; The model method is used to obtain the geometric error mapping model of the whole machine; step 3, using the properties of the variational space, force space and their subspaces of the constrained rigid body, to separate the geometric errors that affect the compensable and non-compensable degrees of freedom at the end of the machine, The error mapping models of compensable degrees of freedom and non-compensable degrees of freedom of the whole machine are respectively obtained. The invention not only provides a mathematical model for error compensation, but also provides an important guiding theoretical basis for error prevention and machine tool precision matching design.

Description

technical field [0001] The invention relates to the technical field of numerical control machine tools, in particular to a modeling method for a general mathematical model of geometric errors of numerical control machine tools. Background technique [0002] There are two main methods for the machining accuracy of CNC machine tools: one is error prevention and the other is error compensation. Error modeling is the key to error compensation. The method of homogeneous coordinate transformation matrix is ​​the most commonly used modeling tool, but this modeling method cannot directly obtain the unified display expression of the six-dimensional pose error of the machine tool. Theoretically, for three-axis, four-axis and five-axis CNC machine tools, only the machine tool pose error corresponding to a given degree of freedom can be compensated through error identification. Therefore, the established error model must be able to effectively separate the geometric error sources that...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B19/404
Inventor 田文杰潘琪张大卫常文芬聂应新郭龙真
Owner TIANJIN UNIV
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