Coupling and Decoupling Measurement Method of Complete Geometric Errors for Multi-Axis Machine Tools

Wang, Hongwei; Ran, Yan; Zhang, Shengyong; Li, Yulong

doi:10.3390/app10062164

Cited by 8 publications

(6 citation statements)

References 38 publications

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“…Cloud computing as a requirement of current big data applications, and it was a product of interconnecting plenty of computer clusters through hardware devices and software technologies. Its main functions were to realize distributed computing of large amounts of data, parallel operation of large amounts of operations, and virtual sharing of network resources [ 28 ]. The parallel implementation model was a combination of multiple artificial neural networks and their inherent parallel computing structure features to achieve high-speed processing.…”

Section: Methodsmentioning

confidence: 99%

The Tapio Decoupling Principle and Key Strategies for Changing Factors of Chinese Urban Carbon Footprint Based on Cloud Computing

Shang

Luo

2021

IJERPH

130

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The expansion of Xi’an City has caused the consumption of energy and land resources, leading to serious environmental pollution problems. For this purpose, this study was carried out to measure the carbon carrying capacity, net carbon footprint and net carbon footprint pressure index of Xi’an City, and to characterize the carbon sequestration capacity of Xi’an ecosystem, thereby laying a foundation for developing comprehensive and reasonable low-carbon development measures. This study expects to provide a reference for China to develop a low-carbon economy through Tapio decoupling principle. The decoupling relationship between CO2 and driving factors was explored through Tapio decoupling model. The time-series data was used to calculate the carbon footprint. The auto-encoder in deep learning technology was combined with the parallel algorithm in cloud computing. A general multilayer perceptron neural network realized by a parallel BP learning algorithm was proposed based on Map-Reduce on a cloud computing cluster. A partial least squares (PLS) regression model was constructed to analyze driving factors. The results show that in terms of city size, the variable importance in projection (VIP) output of the urbanization rate has a strong inhibitory effect on carbon footprint growth, and the VIP value of permanent population ranks the last; in terms of economic development, the impact of fixed asset investment and added value of the secondary industry on carbon footprint ranks third and fourth. As a result, the marginal effect of carbon footprint is greater than that of economic growth after economic growth reaches a certain stage, revealing that the driving forces and mechanisms can promote the growth of urban space.

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Section: Methodsmentioning

confidence: 99%

The Tapio Decoupling Principle and Key Strategies for Changing Factors of Chinese Urban Carbon Footprint Based on Cloud Computing

Shang

Luo

2021

IJERPH

130

View full text Add to dashboard Cite

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“…Equations are solved to obtain the comprehensive mathematical model containing various errors. The traditional error model is as follows [25][26][27]:…”

Section: Modeling Methodsmentioning

confidence: 99%

Modeling method of CNC tooling volumetric error under consideration of Abbé error

Chen

Zhang

Wang

et al. 2022

Int J Adv Manuf Technol

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The Abbé error is a key factor for high-precision CNC machine tools. Unluckily, it is not taken into account in traditional machine tool volumetric error models. In this respect, based on the traditional machine tool volumetric error models, a new machine tool volumetric error model containing Abbé error is performed by analyzing the mechanism of Abbé error formation tool volumetric and based on 21-item geometric error measurement data, Abbé arm, and angle functional relationship. Moreover, integrated qualitative and quantitative simulation method for evaluation of machine tool space precision are correspondingly presented. Finally, an example was utilized to further verify the value of our model by means of analysis and comparison of the tooling precision prior to and after performance of compensation, and its validity and feasibility were proved. This study provides an important modeling method for high-precision machine tools and has very important theoretical significance and practical value.

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“…As a traditional modeling method, the homogeneous coordinate transformation method has been widely used in the spatial error modeling of machine tools [25][26][27] . The use of homogeneous coordinate transformation to derive a comprehensive mathematical model of machine tool error first needs to establish a Cartesian coordinate system on the tool, worktable, spindle, and workpiece.…”

Section: Modeling Methodsmentioning

confidence: 99%

Modeling Method of CNC Machine Tools’ Volume Error Considering Abbe Error

Chen

Zhang

et al. 2021

Preprint

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Abbe error is an important factor affecting high-precision machine tools, and the traditional modeling method does not consider Abbe error. Aiming at this problem, based on the traditional error model of machine tools and the formation mechanism of Abbe error, this paper establishes a machine tool spatial error model that considers Abbe error. Then combined with a specific machine tool, based on the measurement of 21 geometric errors of the machine tool to obtain relevant error data, through the combination of qualitative and quantitative accuracy evaluation methods, two models of traditional error model and error model considering Abbe error are analyzed. The accuracy of the machine tool is compared, and the comparison of the compensation effects of the two error models after compensation is also analyzed. The example verification shows that the machine tool spatial error model considering Abbe error is effective and feasible, and the compensation effect is better. It provides an important modeling method for improving the machining accuracy of precision machine tools.

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Coupling and Decoupling Measurement Method of Complete Geometric Errors for Multi-Axis Machine Tools

Cited by 8 publications

References 38 publications

The Tapio Decoupling Principle and Key Strategies for Changing Factors of Chinese Urban Carbon Footprint Based on Cloud Computing

The Tapio Decoupling Principle and Key Strategies for Changing Factors of Chinese Urban Carbon Footprint Based on Cloud Computing

Modeling method of CNC tooling volumetric error under consideration of Abbé error

Modeling Method of CNC Machine Tools’ Volume Error Considering Abbe Error

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