The kinematics of contact and grasp
International Journal of Robotics Research
A Mathematical Introduction to Robotic Manipulation
A Mathematical Introduction to Robotic Manipulation
Optimization and correction of the tool path of the five-axis milling machine
Mathematics and Computers in Simulation
Curvilinear space-filling curves for five-axis machining
Computer-Aided Design
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This paper presents a new general toolpath planning method which considers two important types of constraints: the kinematics constraint and the geometric feature constraints. The contact kinematics theory for rigid bodies is used to incorporate the two types of constraints into our optimization framework. The objective is to maximize the machining efficiency. The proposed method consists of three stages: establishing the mapping between the tool feeding speed with surface curvature, the orientation of the tool and the kinematics of machines; identifying the optimal cutting direction by solving a constrained nonlinear programming problem in the parametric domain; generating streamline-like toolpath and mapping it back to the surface. An example using our toolpath generation method is given to demonstrate its effectiveness.