... the smoothing. For one‐dimensional elastic vibration eigenproblems, we consider a bar whose axial displacement u is a function of both co‐ordinate x and time t (Figure 1a). The governing differential equation of motion is (9) where A(x) is the cross sectional...

...JACOB AVRASHI; ROBERT D. COOK This paper presents a new approach for estimating the discretization error of finite element analysis of generalized eigenproblems. The method uses smoothed gradients at nodal points to derive improved element‐by‐element interpolation functions. The improved...