The modeling and analysis of geometric error for machining center by homogeneous coordinate transformation method

2006 ◽  
Author(s):  
Mutellip Ahmat ◽  
Iliham Abduruyim
Keyword(s):  
Coordinate Transformation ◽  
Transformation Method ◽  
Geometric Error ◽  
Modeling And Analysis ◽  
Machining Center ◽  
Coordinate Transformation Method

Geometric Error Modeling of a Vertical Machining Center

2013 ◽  
Vol 694-697 ◽  
pp. 1842-1845
Author(s):  
Gui Qiang Liang ◽  
Jun Xian Zhang ◽  
Fei Fei Zhao
Keyword(s):  
Coordinate Transformation ◽  
Transformation Method ◽  
Geometric Error ◽  
Error Modeling ◽  
Machining Accuracy ◽  
Geometric Errors ◽  
Lower Body ◽  
Body System ◽  
Machining Center ◽  
Multi Body

The effect of geometric error on machining accuracy was researched by multi-body system theory, as well as homogeneous coordinate transformation method. Taking a vertical machining center as example, topological structure of the machine tool was described by lower body array. Lower body array of the machining center, motion freedom between adjacent bodies and geometric errors of the vertical machining center were analyzed. Geometric errors of the bodies in the multi-body system were expressed by homogeneous coordinate transformation. Error model for machining accuracy was deduced and geometric errors having influence on the machining accuracy were identified. The research results provide guidance for analyze of geometric errors on machining accuracy.

A Study of Tracking System Using Multiple Emitter Towers

2013 ◽  
Vol 694-697 ◽  
pp. 927-935 ◽  
Author(s):  
Yi Sun ◽  
Tao Ma ◽  
Chia Yung Han ◽  
Joseph Ross ◽  
William Wee
Keyword(s):  
Coordinate Transformation ◽  
Motion Tracking ◽  
Tracking System ◽  
Transformation Method ◽  
Tracking Accuracy ◽  
Working Space ◽  
Frontal Part ◽  
Motion Tracking System ◽  
Coordinate Transformation Method

This paper presents a simple and accurate coordinate transformation method for extending the tracking space of the Intersense IS-900 spatial and motion tracking system using multiple pre-configured emitter towers to form the emitter constellation, but without resorting to the use of a surveyor machine. The proposed approach uses the differences of positional coordinate readings from each emitter tower among a set of commonly viewed spatial points to calculate the parameters needed to define the coordinate transformation. By applying this method, the tracking accuracy using the entire emitter constellation can be achieved by less than 0.5 inches error in most of the working space, and as low as 0.2 inches error in the frontal part of the working space.

Study on NURBS Surface Tool Trajectory Planning of 6R Engraving Robot

2013 ◽  
Vol 711 ◽  
pp. 422-425 ◽  
Author(s):  
Yu Hu Zuo
Keyword(s):  
Trajectory Planning ◽  
Coordinate Transformation ◽  
Inverse Kinematics ◽  
End Milling ◽  
Transformation Method ◽  
Nurbs Surface ◽  
Calculation Algorithm ◽  
Tool Trajectory ◽  
Coordinate Transformation Method ◽  
Cutting Point

A NURBS surface tool trajectory planning method of engraving robot is proposed. The calculation algorithm including NURBS surface tool trajectory, cutting point and effective cutting radius of end milling cutter and inverse kinematics transform is discussed in detail using Taylor and coordinate transformation method. It is the foundation to further applied to the engraving robot tool trajectory planning or off-line programming.

Homogeneous Material Constructed Acoustic Cloak Based on Coordinate Transformation

2012 ◽  
Vol 134 (5) ◽  
Author(s):  
Tinghua Li ◽  
Ming Huang ◽  
Jingjing Yang ◽  
Yaozhong Lan ◽  
Jing Sun
Keyword(s):  
Coordinate Transformation ◽  
Mass Density ◽  
Three Dimensional ◽  
Transformation Method ◽  
Homogeneous Material ◽  
Spatial Transformation ◽  
Practical Realization ◽  
Full Wave ◽  
Coordinate Transformation Method ◽  
Important Progress

The two-dimensional and three-dimensional acoustic cloaks composed of homogeneous and nonsingular materials are designed by choosing appropriate spatial transformation. The mass density tensor and bulk modulus of the acoustic cloaks with diamond shape are derived, and extended to an acoustic carpet cloak. Performance of the acoustic cloaks is confirmed by full-wave simulation. The work represents an important progress towards the practical realization of the metamaterial-assisted acoustic cloak and expands the application of the coordinate transformation method.

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