Curvilinear Tool Paths for Pocket Machining
References and Acknowledgments
Some Historical Perspective

Boeing has been manufacturing aerospace systems for a long time.
Systems are a lot more complex now!
Applying Math to Manufacturing Problems
Machining Process Production
Flow
(The View from 30,000 Feet)
Curvilinear Tool Paths for Pocket Machining
Pockets in Delta IV Rocket Isogrid Skin Panels
Conventional ParallelOffset Tool Path
Conventional vs. Curvilinear Tool Paths
What Kind of Machining and Pockets Can be Handled in the Present Approach?
Examples of how geometry input determines a tool path
Overview of Curvilinear Tool Path Generation
Alternatively, can solve even simpler elliptic PDE problem
Constantvalue Contours of PDE Solution u
Constantvalue Contours of a PDE Solution u
Step through tool path generation for a particular example.
First, numerically solve the PDE.
Next, spiral outward between contours of the fundamental eigenfunction to create tool path orbits.
Get tool path, then smooth it (orbittoorbit, pointtopoint)
Excavating One Layer of a Pocket
Feed Rate (Trajectory) Optimization
Introduce parametric spline rep. of tool path
Trajectory
Optimization
Could use the following formulation.
Feed Rate Optimization Results
Feed Rate Optimization Results
Pockets in Delta IV Rocket Isogrid Skin Panel
Delta IV Isogrid Tool Paths Compared
Metal Cutting Experiments at UCBerkeley
Generally, Save Up to 30% Machining Time
Possible Extension of Curvilinear Tool Path Method for a Pocket with Padup Region
Possible Extension of Curvilinear Tool Path Method for a Pocket with Padup Region
Extensions of Present Tool
Path Method
Use it in Design For Manufacture (DFM) of Padups?