There are currently no analytical methods available which determine the exact arc length for NURBS curves and for this reason, a smooth feedrate profilewith desired trajectory cannot be achieved. Numerical methods used to calculate the arc length are time-consuming processeswhichmake generating a feedrate profile with desired accelerations difficult in real-time. This paper introduces a look-ah...

This paper describes a dynamic capacitated arc routing problem motivated from winter gritting applications. In this problem, the service cost on each arc is a piecewise linear function of the time of beginning of service. This function also exhibits an optimal time interval where the service cost is minimal. Since the timing of an intervention is crucial, the dynamic aspect considered in this w...

in this paper, we consider rna structures with arc-length 4 . first, we represent thesestructures as matrix models and zero-one linearprogramming problems. then, we obtain anoptimal solution for this problemusing an implicit enumeration method. the optimal solutioncorresponds toan rna structure with the maximum number of hydrogen bonds.

Let D be an arc-3-cyclic, semicomplete digraph and uv be an arc of D contained in a cycle of length r. If vu f[ A(D) then the arc uv is contained in cycles of length h : 3<.h<<.r, or if 6+(D),f-(D)>~3 then the arc uv is contained in cycles of length h : 6<~h<~r. Also included in this paper is a very useful crossing arc theorem.

Dynamics, control, and stability of roll oscillations a biased ship in regular sea waves are investigated. The under oscillation is modelled as the classical Helmholtz–Duffing oscillator with strongly nonlinear asymmetric restoring moment characteristics. incremental harmonic balance method, amended pseudo-arc-length continuation approach, employed to obtain uncontrolled controlled frequency re...

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...

Weight reduction is a recurring concern in the design of modern mechanical systems. This search may lead engineers to resort using gears with holes order meet their requirements. paper presents methodology carry out nonlinear dynamic analyses gear transmission blanks subjected multiharmonic internal excitation. work investigates influence these on vibration levels, occurrence contact loss and p...

In this paper we enumerate k-noncrossing RNA pseudoknot structures with given minimum arc-and stack-length. That is, we study the numbers of RNA pseudoknot structures with arc-length ≥ 3, stack-length ≥ σ and in which there are at most k − 1 mutually crossing bonds, denoted by T [3] k,σ (n). In particular we prove that the numbers of 3, 4 and 5-noncrossing RNA structures with arc-length ≥ 3 and...