Accuracy enhancement of five-axis machine tool based on differential motion matrix: Geometric error modeling, identification and compensation

Fu, Guoqiang; Fu, Jianzhong; Xu, Yanliang; Chen, Zichen; Lai, Jintao

doi:10.1016/j.ijmachtools.2014.11.005

Cited by 123 publications

(33 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Some investigations have contributed to the development of techniques in the calculation of the minimization of kinematic errors caused by geometric errors of manufacture that influences in the positioning automated machines of 3 degrees of freedom onwards [8,9]. Guoqiang [10] establishes the geometric errors by a differential motion transformation and are considered as the fundamental pillar theory of robotics. Yang [11] presents a model that allows the kinematic configuration of the machine in the five axes by "Screw" theory.…”

Section: Overall Precision In a Machine Toolmentioning

confidence: 99%

Selective polishing method to increase precision in large format lightweight machine tools working with petrous material

Arango

Copete-Murillo

2019

Rev.Fac.Ing.Univ.Antioquia

View full text Add to dashboard Cite

In this article two complementary methods are developed. Firstly, a method to add precision in large machine tools with modular lightweight structures (APLM), which performs the compensation of geometrics and dynamics errors using embedded intelligence, and secondly, an alternative polishing method called selective polishing (SP). This systematic process comprehends measurement tools and algorithm resources. Phenomena occurred in the machine structure, due to interaction between the cutting tools and the petrous materials in the grinding and polishing processes are modeled mathematically. Using validated flatness models, the variables and parameters were discretized to determine the errors with respect to the Z axis. To validate the method, a test machine of 3m 2 workspace with a multi-body lightweight structure design was built. The geometrical errors were determined using precision instruments and those were compared with a pattern surface. A higher flatness is achieved through a combined grinding-traditional polishing and selective polishing process using the same machine. This method saves time and energy consumption.

show abstract

Section: Overall Precision In a Machine Toolmentioning

confidence: 99%

Selective polishing method to increase precision in large format lightweight machine tools working with petrous material

Arango

Copete-Murillo

2019

Rev.Fac.Ing.Univ.Antioquia

View full text Add to dashboard Cite

show abstract

“…Fu et al [13,14] used the product-of-exponential theory to establish an exponential product error model for CNC machine tools and proposed a geometric error compensation method based on Jacobian of twists. In addition, Fu et al [15] applied differential motion relation to geometric error modeling, expressing the error model as the sum of the errors of the individual axes of motion.…”

Section: Introductionmentioning

confidence: 99%

A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

Zhao

Luo

2020

Symmetry

View full text Add to dashboard Cite

Turn-Milling Combined NC machine tool is different from traditional machine tools in structure and process realization. As an important means in the design stage, the analysis method of geometric accuracy error is also different from the traditional method. The actual errors and the error compensation values are a pair of "symmetry" data sets which are connected by the movement of machine tools. The authors try to make them more consistent through this work. The geometric error terms were firstly determined by topological structure analysis, then based on homogeneous coordinate transformation and multibody system theory, the geometric error model was established. With the interval theory, the function rule of sensitivity of geometric error sources to spatial errors was analyzed in detail, and the global maximum interval sensitivity of nine geometric error sources was extracted, providing a theoretical basis for error compensation and precision distribution. The geometric error sensitivity analysis method proposed in this paper can accurately evaluate the influence weights of each error term on the machining accuracy, and identify the important sensitive error terms with great influence on the machining accuracy from many error terms.

show abstract

“…Therefore, the key factor to identify the geometric error is to correctly establish the mathematical model between the cutting tool processing point and the worktable processing point. At present, the commonly used error modeling methods are based on homogenous transformation matrix (HTM) [10][11][12] or screw theory [13][14]. A global description of rigid body motion is allowed with the screw theory, this is the advantage and difference from HTM method.…”

Section: Introductionmentioning

confidence: 99%

A method for identifying and predicting the geometric errors of a rotating axis

Fan¹,

Wang²,

Tao³

et al. 2020

Preprint

View full text Add to dashboard Cite

To improve the machine tool accuracy, an integrated geometric error identification and prediction method is proposed to eliminate the positioning inaccuracy of tool ball for a double ball bar (DBB) caused by the rotary axis’ geometric errors in a multi-axis machine tool. In traditional geometric errors identification model based on homogenous transformation matrices (HTM), the elements of position-dependent geometric errors(PDGEs) are defifined in the local frames attached to the axial displacement, which is inconvenient to do redundance analysis. Thus, this paper proposed an integrated geometric error identification and prediction method to solve the uncertainty problem of the PDGEs of rotary axis. First, based on homogeneous transform matrix (HTM) and multi-body system (MBS) theory, The transfer matrix only considering the rotary axes is derived to determine the tool point position error model. Then a geometric errors identification of rotary axis is introduced by measuring the error increment in three directions. Meanwhile the geometric errors of C-axis are described as position-dependent truncated Fourier polynomials caused by fitting discrete values. Thus, The geometric error identification is converted to the function coefficient. Finally, the proposed new prediction and identification model of PDGEs in the global frame are verified through simulation and experiments with double ball-bar tests.

show abstract

Accuracy enhancement of five-axis machine tool based on differential motion matrix: Geometric error modeling, identification and compensation

Cited by 123 publications

References 26 publications

Selective polishing method to increase precision in large format lightweight machine tools working with petrous material

Selective polishing method to increase precision in large format lightweight machine tools working with petrous material

A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

A method for identifying and predicting the geometric errors of a rotating axis

Contact Info

Product

Resources

About