An instantaneous rigid force model for prediction of cutting forces in ball-end milling of  sculptured surfaces is presented in this paper. A commercially available geometric engine is used to represent the cutting edge, cutter and updated part geometries. The cutter used in this work is an insert type ball-end mill. Intersecting an inclined plane with the cutter ball nose generates the cutting...

The stability behavior of low immersion helical end milling processes is investigated in this paper. Low radial immersion milling operations involve interrupted cutting which induces chatter vibration under certain cutting conditions. Time Finite Element Analysis (TFEA) is suggested for an approximate solution for delayed differential equations encountered during interrupted milling. An improve...

For decades researchers have struggled with the problem of envy-free cake cutting: how to divide a divisible good between multiple agents so that each agent likes his own allocation best. Although an envy-free cake cutting protocol was ultimately devised, it is unbounded, in the sense that the number of operations can be arbitrarily large, depending on the preferences of the agents. We ask whet...

I) Given a segment-cuttable polygon P drawn on a planar piece of material Q, we show how to cut P out of Q by a (short) segment saw with a total length of the cuts no more than 2.5 times the optimal. We revise the algorithm of Demaine et al. (2001) so as to achieve this ratio. (II) We prove that any collection R of n disjoint1 axis-parallel rectangles drawn on a planar piece of material Q is cu...

This paper proposes a cake-cutting protocol using cryptography when the cake is a heterogeneous good that is represented by an interval on a real line. Although the Dubins-Spanier moving-knife protocol with one knife achieves simple fairness, all players must execute the protocol synchronously. Thus, the protocol cannot be executed on asynchronous networks such as the Internet. We show that the...

the aim of this study was to determine the optimal cutting cycle in an uneven-aged beech forest in the north of iran. first of all, a logistic growth model was determined for an uneven aged forest. then, the stumpage price was predicted via an autoregressive model. the average stumpage price of beech was derived from actual timber, round wood, fire and pulpwood prices at road side minus the var...

this study was focused on the effect of wattle trait on body sizes and scrotal dimensions of traditionally reared wad bucks in the derived savannah environment. data were collected from 153 bucks ranging from 4 months to 2 years of age and this included, scrotal length, scrotal circumference, body weight, height at withers, body length and chest girth. parameters for wattle traits included, wat...

We analyze a class of proportional cake-cutting algorithms that use a minimal number of cuts (n − 1 if there are n players) to divide a cake that the players value along one dimension. While these algorithms may not produce an envy-free or efficient allocation—as these terms are used in the fair-division literature—one, divide-and-conquer (D&C), minimizes the maximum number of players that any ...

We extend the classic cake-cutting problem to a situation in which the ”cake” is divided among families. Each piece of cake is owned and used simultaneously by all members of the family. A typical example of such a cake is land. We examine three ways to assess the fairness of such a division, based on the classic no-envy criterion: (a) Average envy-freeness means that for each family, the avera...

Search for an adapted forage species for feed production under existing marginal lands and harsh conditions is needed to overcome sever feed shortage in Egypt. Sesbania, Sesbania aegyptiaca (Sesbania sesban, L) has shown potential for forage production and being included in grazing systems, especially on marginal lands and salt–affected soils. An experiment was conducted in the summer of 2004 a...