by minimizing the total potential energy function and deploying the virtual work principle, a higher-order stiffness matrix is achieved. this new tangent stiffness matrix is used to solve the frame with geometric nonlinear behavior. since authors’ formulation takes into account the higher-order terms of the strain vector, the convergence speed of the solution process will increase. in fact, bot...

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...

Abstract We devise a numerical scheme for computing arc-length parameterized curves of low bending energy that are confined to convex domains. address the convergence discrete formulations continuous model and unconditional stability an iterative scheme. Numerical simulations confirm theoretical results lead classification observed optimal within spheres.

Current approaches to compute the arc length of a parametric curve rely on table lookup schemes. We present an approximate closed-form solution to the problem of computing an arc length parametrization for any given parametric curve. Our solution outputs a one or two-span Bézier curve which relates the length of the curve to the parametric variable. The main advantage of our approach is that we...

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...

During arc welding, the arc heats and melts the workpiece as heat flux. When the welding current is given, the distribution and the intensity of the heat flux are determined by the length of the arc. The measurement and control of the arc length are fundamental in robotic and automated welding operations. Length of welding arc determines the distribution of the arc energy and thus the heat inpu...

In this report I study the Kirchhoff equations, which are the basis for considering elastic filaments, in the context of a twisted planar ring. I apply an arc length preserving perturbation scheme that perturbs the basis used to describe the system directly, and analyse the generated normal mode solutions up to second-order. I also consider how these modes evolve in time.

Abstract The aim of this paper is to investigate curve or surface design and modeling with geometric constraint by subdivision scheme. To construct a curve with a given length, constraint is employed on the free parameter of a newly proposed 4-point approximating subdivision scheme. Feasibility to this problem is investigated, convergence and smoothness analysis are presented, and more properti...

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.