In this paper, we present arc-length estimations for quadratic rational Bézier curves using the length of polygon and distance between both end points. Our arc-length estimations coincide with the arc-length of the quadratic rational Bézier curve exactly when the weight w is 0, 1 and∞. We show that for all w > 0 our estimations are strictly increasing with respect to w. Moreover, we find the pa...

is is a continuation of our paper [1] where we studied the problem of existence of the best �tting curve. Here we deal with its uniqueness. Our interest in these problems comes from applications where one describes a set of points PP1,... , PPnn (representing experimental data or observations) by simple geometric shapes, such as lines, circular arc, elliptic arc, and so forth. e best �t is ac...

Abstract High-speed rotor systems mounted on gas foil bearings present bifurcations which change the quality of stability, and may compromise operability rotating systems, or increase noise level when amplitude specific harmonics drastically increases. The paper identifies dissipating work in film to be source self-excited motions driving whirling close bearing’s surface. energy flow among comp...

The objective of this study is to investigate the sensitivity Equivalent Dynamic Stiffness Mapping (EDSM) identification method typical types inaccuracy that are often present during process. These sources may include presence noise in simulated/measured data, expansion error estimation unmeasured coordinates, modelling updated underlying linear model, and due neglecting higher harmonics nonlin...

We propose a dynamic program to find the shortest path in a network having gamma probability distributions as arc lengths. Two operators of sum and comparison need to be adapted for the proposed dynamic program. Convolution approach is used to sum two gamma probability distributions being employed in the dynamic program.

We have developed a three dimensional numerical model based on the two-phase equations to study the bed-load transport Chauchat and Médale (2009). We have considered two formulations of the model based on a two fluid or a single mixed-fluid description. The governing equations are discretized by a finite element method and a penalisation method is introduced to cope with the incompressibility c...

This paper develops an automatic welding control scheme for alternating current shielded metal arc welding (SMAW) system. A mathematical model of the welding control system is derived and the system parameters identified. An adaptive sliding mode controller is designed to estimate the bound of the system uncertainties and to modulate the electrode feed rate in such a way that the desired arc le...

BACKGROUND To assess repeatability of the Zhongshan Assessment Program (ZAP) software measurement of Anterior Segment Optical Coherence Tomography (ASOCT) images and correlate with graft trephine diameter following Descemet Stripping Automated Endothelial Keratoplasty (DSAEK) METHODS: Retrospectively evaluated interventional case series. 121 consecutive eyes undergoing DSAEK over a 26 month per...

The present bunch compressor design for the NLC allows control of the final bunch length by way of changes to the horizontal betatron phase advance of the 180ƒ-turnaround arc. This adjustability requirement significantly constrains the design and cost optimization of the system and excludes the possibility of using permanent-magnet quadrupoles in the arc. To relieve this constraint, and to avoi...