This paper presents an arc-length preserving axial deformation along a B-spline curve based on arc-length parameterization of the axial curve. Space spanned by arc length and rotation minimizing frame on the axis is taken as the embedded space. As in real life, the length of an object’s skeleton usually remains constant when it is axially deformed such as a swimming fish, a swaying tree etc, An...

The dynamics of wind turbine planetary gears with gravity effects are investigated using an extended harmonic balance method that includes simultaneous internal and external excitations. This method along with arc-length continuation and Floquet theory is applied to a lumped-parameter planetary gear model including gravity, fluctuating mesh stiffness, bearing clearance, and nonlinear tooth cont...

In this paper we present a method of circular arc approximation by quartic Bézier curve. Our quartic approximation method has a smaller error than previous quartic approximation methods due to the alternation of the error function of our quartic approximation. Our method yields a closed form of error so that subdivision algorithm is available, and curvaturecontinuous quartic spline under the su...

This paper presents a new application of a fractional order control system which controls the input energy to a three phase electric arc furnace. Graphite electrodes are used to convert electrical energy into heat via phase electric arcs. Constant arc length is desirable as it implies steady energy transfer from the graphite electrodes to the metallic charge in the furnace bath. With the charge...

The problem of optimal economic operation of hydrothermal electric power systems is solved using powerful continuation method. While in conventional approach, fixed generation voltages are used to avoid convergence problems, in the proposed algorithm, they are treated as variables so that better solutions can be obtained. The algorithm is tested for a typical 5-bus and 17-bus New Zealand networ...

This article assesses two Harmonic Balance Method-based numerical Lagrangian strategies for the characterization of periodic response a mechanical system subject to unilateral contact constraints. The model used evaluation is an academic rod facing obstacle that firstly considered as equivalent stiffness (flexible) and then rigid obstacle. Nonlinear frequency curves are obtained through arc-len...

The characteristics of a series direct current (DC) arc-fault including both electrical and thermal parameters were investigated based on an arc-fault simulator to provide references for multi-parameter electrical fire detection method. Tests on arc fault behavior with three different initial circuit voltages, resistances and arc gaps were conducted, respectively. The influences of circuit cond...

This paper is an introduction to Newton, a constraint programming language over nonlinear real constraints. Newton originates from an effort to reconcile the declarative nature of constraint logic programming (CLP) languages over intervals with advanced interval tcchniqucs dcvclopcd in numerical analysis, such as the interval Newton method. Its key conceptual idea is to introduce the notion of ...