An energy-minimization framework for monotonic cubic spline interpolation
Journal of Computational and Applied Mathematics
Journal of Intelligent and Robotic Systems
A local convergence property of primal-dual methods for nonlinear programming
Mathematical Programming: Series A and B
Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming
Computational Optimization and Applications
A smooth spiral tool path for high speed machining of 2D pockets
Computer-Aided Design
Bspline approximation of circle arc and straight line for pocket machining
Computer-Aided Design
Fairing of parametric cubic splines
Mathematical and Computer Modelling: An International Journal
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This paper proposes a new method of pocketing toolpath computation based on an optimization problem with constraints. Generally, the calculated toolpath has to minimize the machining time and respect a maximal effort on the tool during machining. Using this point of view, the toolpath can be considered as the result of an optimization in which the objective is to minimize the travel time and the constraints are to check the forces applied to the tool. Thus a method based on this account and using an optimization algorithm is proposed to compute toolpaths for pocket milling. After a review of pocketing toolpath computation methods, the framework of the optimization problem is defined. A modeling of the problem is then proposed and a solving method is presented. Finally, applications and experiments on machine tools are studied to illustrate the advantages of this method.