RELATIVE-ERROR-BASED FINITE ELEMENT ANALYSIS OF AXIALLY MOVING BEAMS

摘要

The r-refinement increases accuracy of finite element solutions, but not increases computations. This paper presents a new and efficient technique applied to the r-refinement, which is based on the relative errors. This technique does not need a reference solution, and any physical quantity, such as energy, displacement, stress, etc., can be arbitrarily selected and applied to this technique. A simple algorithm is provided to find the optimum positions of nodes instead of solving a variety of nonlinear equations. Furthermore, this paper demonstrates this technique and provides a comprehensive finite element analysis of flexible axially moving beam by using the h-, p- and r-refinements.