Grey System Theory Modeling for Nonlinear, Dynamic Machine Tool Thermal Error

YAN Jiayu; YANG Jianguo

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Grey System Theory Modeling for Nonlinear, Dynamic Machine Tool Thermal Error

机译：非线性动态机床热误差的灰色系统理论建模

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摘要

To accommodate the nonlinear and dynamic nature of thermal elastic process, Grey System Theory (GST) is adopted. By using this theory, GM (2, 1) and GM (1, 4) models are constructed. Real cutting experiment on a turning machine is conducted to establish and validate the model performance in terms of generalization ability. The comparison indicates that GM (2, 1) and GM (1,4) perform better than other static and dynamic models such as Back Propagation Neural Network (BP) and Auto-regression Moving Average (ARMA). In addition, each of the two proposed model has their own advantages and they can be applied in practice.

机译：为了适应热弹性过程的非线性和动态性质，采用了灰色系统理论（GST）。利用这一理论，构建了GM（2，1）和GM（1，4）模型。在车床上进行了真实的切削实验，以建立和验证模型的泛化能力。比较表明，GM（2，1）和GM（1,4）的性能优于其他静态和动态模型，例如，反向传播神经网络（BP）和自回归移动平均值（ARMA）。此外，两个提议的模型中的每一个都有各自的优势，并且可以在实践中应用。

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来源
《Key Engineering Materials》 |2009年第2009期|112-116|共5页
作者
YAN Jiayu; YANG Jianguo;
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作者单位

School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;

School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;

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原文格式 PDF
正文语种 eng
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关键词
machine tool; thermal error; model; compensation; grey system;

机译：机床;热误差模型;赔偿;灰色系统;

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1. Applying Integrated Grey System Theory and Sensor Technology to Study Influence of Cutting Conditions on Thermal Error Modeling of Machine Tools [J] . Kun-Chieh Wang, Chi-Hsin Yang, Long Wu, Sensors and materials . 2021,第1期

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2. Study of the Thermal Error Robust modeling of 2-axes Machine Tools based on the Grey System Theory [J] . X.S. Wang, Y. Li, L. Wang, Key Engineering Materials . 2010,第期

机译：基于灰色系统理论的两轴机床热误差鲁棒建模研究
3. Thermal Error Modeling of a Machining Center Using Grey System Theory and Adaptive Network-Based Fuzzy Inference System [J] . Kun-Chieh WANG, Pai-Chung TSENG, Kuo-Ming LIN JSME International Journal. Series C, Mechanical Systems, Machine Elements and Manufacturing . 2006,第4期

机译：基于灰色系统理论和基于自适应网络的模糊推理系统的加工中心热误差建模
4. Grey System Theory Modeling for Nonlinear, Dynamic Machine Tool Thermal Error [C] . YAN Jiayu, YANG ANG Jianguo Progress of machining technology . 2009

机译：非线性动态机床热误差的灰色系统理论建模
5. Dynamic modeling for machine tool thermal error compensation. [D] . Yang, Hong. 2002

机译：机床热误差补偿的动态建模。
6. Linear theory for filtering nonlinear multiscale systems with model error [O] . Tyrus Berry, John Harlim -1

机译：具有模型误差的非线性多尺度系统滤波的线性理论
7. Thermal error modeling of a machining center using grey system theory and adaptive network-based fuzzy inference system [O] . Wang, K.C., Tseng, P.C., Lin, K.M., 2014

机译：基于灰色系统理论和自适应网络模糊推理系统的加工中心热误差建模

Grey System Theory Modeling for Nonlinear, Dynamic Machine Tool Thermal Error

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