SCREW THEORY BASED METROLOGY FOR DESIGN AND ERROR COMPENSATION OF MACHINE TOOLS

机译：基于螺杆理论的机床设计与误差补偿方法

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The paper presents a generalized mathematical framework for computation and compensation of tool tip errors in multi-axis machine tools using screw theory. In contrast to conventional Denavit-Hartenberg notation, Screw theory offers several advantages including: (ⅰ) modeling of complex machine tool configurations with rotational axes, (ⅱ) tractability of error propagation which simplifies solution of inverse kinematics and subsequent error-compensation procedures, and (ⅲ) functional representation of error screws in a global reference frame rather than cumbersome coordinate transformations of local reference frames. Kinestatic filtering technique is adopted for evaluating the compensatability of errors and the Jacobian is used for error compensation. The methodology is illustrated using a five-axis machine tool with two rotational axes.

机译：本文提出了一种通用的数学框架，用于利用螺钉理论计算和补偿多轴机床的刀尖误差。与传统的Denavit-Hartenberg表示法相比，Screw理论具有以下优点：（ⅰ）使用旋转轴对复杂机床配置进行建模；（ⅱ）误差传播的可处理性，从而简化了逆运动学和后续误差补偿程序的求解；以及（ⅲ）全局参照系中误差螺钉的功能表示，而不是局部参照系的繁琐坐标转换。采用动静滤波技术评估误差的可补偿性，并采用雅可比行列式进行误差补偿。使用具有两个旋转轴的五轴机床说明了该方法。

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来源
《2001 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference Vol.2: 27th Design Automation Conference, 2001, 2001》|2001年|p.697-707|共11页
会议地点 Pittsburgh PA(US);Pittsburgh PA(US);Pittsburgh PA(US);Pittsburgh PA(US)
作者
Sang-Ku Moon; Yong-Mo Moon; Sridhar Kota; Robert G. Landers;
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作者单位

Department of Mechanical Engineering, The University of Michigan, Ann Arbor Ml 48109-2125;

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会议组织
原文格式 PDF
正文语种 eng
中图分类机械、仪表工业;
关键词
screw theory; machine tool accuracy; kinestatic filtering; error compensation;

机译：螺丝理论机床精度；运动学滤波误差补偿;

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3. Model-Based Compensation of Dynamic Errors in Measuring Machines and Machine Tools [J] . Alexander Keck, Oliver Sawodny, Marc Gronle, Mechatronics, IEEE/ASME Transactions on . 2018,第5期

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4. SCREW THEORY BASED METROLOGY FOR DESIGN AND ERROR COMPENSATION OF MACHINE TOOLS [C] . Sang-Ku Moon, Yong-Mo Moon, Sridhar Kota, ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference . 2001

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5. Error prediction and compensation of reconfigurable machine tool using screw kinematics. [D] . Moon, Sang-Ku. 2002

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7. A trial toward sub-100 nm motion error compensation of ultra-precision machine tool using on-machine metrology system with chromatic confocal probe [O] . Hao DUAN, Shinya MORITA, Takuya HOSOBATA, 2021

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SCREW THEORY BASED METROLOGY FOR DESIGN AND ERROR COMPENSATION OF MACHINE TOOLS

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