Geometric algorithms for computing cutter engagement functions in 2.5D milling operations. ABSTRACT Cutter engagement is a measure that describes what portion of the cutter is involved in machining at a given instant of time. During profile milling of complex geometries, cutter engagement varies significantly along the cutter path. Cutter engagement information helps in determining the efficien...

Effectiveness of tool condition monitoring strategy depends on accuracy in failure prediction (prognostics) of cutting tools. Data driven approaches are generally used for prognostics of cutting tools. Various prognostics models have been proposed in the literature. Performance of these models in terms of accuracy and applicability are found to be the major constraints for use in real industria...

This test was sent to 245 participants. Each sample set contained a bolt cutter (Item 1) and two padlocks containing questioned toolmarks (Items 2 and 3). Participants were requested to examine these items and report their findings. Data were returned from 202 participants (82% response rate) and are compiled into the following tables: Page 2 Manufacturer's Information 3 Summary Comments 4 Tabl...

A general framework for investigating topological actions of Zd on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower-dimensional subspaces ofRd . Here we completely describe this expansive behavior for the class of algebraic Zd -actions given by commuting automorphisms of compact abelian groups. The description uses the logarithmic image of an algeb...

We show that an expansive Z2 action on a compact abelian group is measurably isomorphic to a two–dimensional Bernoulli shift if and only if it has completely positive entropy. The proof uses the algebraic structure of such actions described by Kitchens and Schmidt and an algebraic characterisation of the K property due to Lind, Schmidt and the author. As a corollary, we note that an expansive Z...

The contribution provides a comparison of consequences stemming from D-brane theories and Expansive Nondecelerative Universe model, and calls attention to coincidence of the results arising from the mentioned approaches to a description of the Universe. It follows from the comparison that the effects of quantum gravitation should appear at the energy near to 2 TeV. D-brane theories of the Unive...

This research developed a numerical-hierarchical framework that captured surface conditions and climate parameters. Volume changes under distinct scenarios of boundary, antecedent moisture, meteorological parameters were predicted using coupled seepage-deformation model. Risk was hierarchically based on expert judgment for (Stage-I indices) normal distribution moisture atmospheric (Stage-II ind...

In this note we show that the periodic points of an expansive Zd action on a compact abelian group are uniformly distributed with respect to Haar measure if the action has completely positive entropy. In the general expansive case, we show that any measure obtained as the distribution of periodic points along some sequence of periods necessarily has maximal entropy but need not be Haar measure. §

The wavelet dimension function for arbitrary real dilations is defined and used to address several questions involving the existence of MRA wavelets and well-localized wavelets for irrational dilations. The theory of quasi-affine frames for rational dilations and the existence of non-MSF wavelets for certain irrational dilations play an important role in this development. Expansive dilations ad...