...-section. The actual cross-section of the drills is incorporated to the model through a polynomial mapping while the pretwist effect is captured by defining a rotating reference frame. The boundary-value problem for both one- and three-dimensional models are derived using a variational approach, based...

... be incorporated in the presented model. To include the shear deformations and rotary inertia effects arising from the stubby nature of the microendmill, the Timoshenko beam equations are used in the derivation. The boundary-value problem is derived for each of the shank, taper, and fluted sections...

..., the use of materials with correct properties, the placement of required devices such as burners or heaters and the necessary settings for these devices used to control the system, so that the design goal is reached within a specified accuracy. boundary-value problems assembling conveyors...

...Michael B. Bieterman; Donald R. Sandstrom A novel curvilinear tool-path generation method is described for planar milling of pockets. The method uses the solution of an elliptic partial differential equation boundary value problem defined on a pocket region. This mathematical function helps morph...