Linear Octree Represented Tool Swept Volume Modeling on Complex Surface Machining
In this paper, a novel approach of linear octree is employed to represent discrete tools and build their swept volumes along machining trajectories.Firstly, a data structure of linear octree is defined as the base of geometrical transformations.The linear octree can be extended into leaf nodes in the deepest level for simplifying homogeneous transformations, and all leaf nodes in the deepest level can also be concentrated into a linear octree for saving storage capacity inversely.Secondly, tool trajectories are interpolated as short lines, and swept volumes between neighbor interpolation points are defined as the Minkowski sum of their cell sets at both locations.Thirdly, equations of the rotation matrix for local coordinate system, roll, pitch and yaw angles of tool orientations are established to define the global rotation motions.Finally, a case of discrete sphere tool and its swept volume modeling are studied to validate the proposed approach.
discrete tool linear octree swept volume complex surface machining homogeneous transformation
Xubing Chen Chenyu Shan Youlun Xiong
School of Mechanical and Electrical Engineering,Wuhan Institute of Technology,Wuhan 430073,P.R.China School of Mechanical Science and Engineering,Huazhong University of Science and Technology,Wuhan 430
国际会议
the 3nd International Conference on Digital Manufacturing & Automation (第三届数字制造与自动化国际会议(ICDMA 2012))
桂林
英文
699-704
2012-08-01（万方平台首次上网日期，不代表论文的发表时间）