Chatter stability in milling can be improved significantly using variable pitch cutters. The pitch angles can be optimized for certain chatter frequency and spindle speed ranges using the analytical method presented in the first part of this two-part paper. In this part, the improvement of productivity and surface finish are demonstrated in three example applications. It is shown that chatter s...

Recently, we presented a steady-state analytical hillslope stability model to study rain-induced shallow landslides. This model is based on kinematic wave dynamics of saturated subsurface storage and the infinite slope stability assumption. Here we apply the model to investigate the effect of neglecting the unsaturated storage on the assessment of slope stability in the steady-state hydrology. ...

........................................................................................................................................................ 2 Acknowledgements ....................................................................................................................................... 3 Introduction .............................................................................

We introduce a new notion of ex ante stability (or fairness) that would be desirable for a school-choice mechanism to satisfy. Our criterion stipulates that a mechanism must be stable based solely on the probabilities that each student will be assigned to different schools, i.e., the assignment must be viewed as stable even before students know which school they will end up going to. This is in...

For a Hurwitz stable matrix A ∈ Rn×n, we calculate the real structured radius of stability for A with a perturbation P = B∆(t)C, where A, B, C, ∆(t) form a patterned quadruple of matrices; i.e., they are polynomials of a common matrix of simple structure M ∈ Rn×n.

Many discrete event systems (DESs) such as manufacturing systems, data base management systems, communication networks, tra c systems, etc., can be modeled as input-output discrete event systems (I/O DESs). In this paper we formulate and study the problem of stable realization of such systems in the logical setting. Given an input and an output language describing the sequences of events that o...

I. MOTIVATION Models of terrestrial legged locomotion are almost invariably hybrid, containing a discontinuity in the equations of motion when feet land on the ground. While some animals are bipedal, the great majority of legged locomotion on land is done with 4, 6 or more legs. Poly-pedal gaits for moderate or high-speed locomotion usually include multiple legs striking the ground that once (o...

We study exponential stability and its robustness for time-varying linear index-1 differentialalgebraic equations. The effect of perturbations in the leading coefficient matrix is investigated. An appropriate class of allowable perturbations is introduced. Robustness of exponential stability with respect to a certain class of perturbations is proved in terms of the Bohl exponent and perturbatio...

A new risk analysis system for estimating the risk factors in tunneling is suggested in consideration of the complex effect in tunnel construction. It is verified that various risk factors can be expressed by stability and environment index using numerical and statistical analysis. Stability index includes the factors of safety of ground condition, the amount of ground settlement, condition of ...

The concept of cluster stability is introduced to assess the validity of data partitionings found by clustering algorithms. It allows us to explicitly quantify the quality of a clustering solution, without being dependent on external information. The principle of maximizing the cluster stability can be interpreted as choosing the most self-consistent data partitioning. We present an empirical e...