in this paper, exact solution for two-plane transverse vibration analysis of axial-loaded multi-step timoshenko rotor carrying concentrated masses is presented. each attached element is considered to have both translational and rotational inertia. forward and backward frequencies and corresponding modes are obtained using transfer matrix method (tmm). the effect of the angular velocity of spin,...

background: as various implant geometries present different biomechanical behaviors, the purpose of this work was to study stress distribution around tapered and cylindrical threaded implant geometries using three-dimensional finite element stress analysis.     methods: seven implant models were constructed using the cad system. after digitized models of mandibular section, the crowns were crea...

An elliptic system of M(≥ 2) singularly perturbed linear reactiondiffusion equations, coupled through their zero-order terms, is considered on the unit square. This system does not in general satisfy a maximum principle. It is solved numerically using a standard difference scheme on tensor-product Bakhvalov and Shishkin meshes. An error analysis for these numerical methods shows that one obtain...

In this paper, we present the solution of fuzzy initial value problem of the form X ′(t) = f(t,X(t)), X(t0) = X0, where X0 is a symmetric triangular fuzzy interval. In the first part, we review the existing analytical methods for solving such problem under different types of interpretation. We then provide detailed numerical procedures based on the different interpretations given in the first p...

In this paper, we study the effects of the coarse grid correction process on multigrid convergence for hyperbolic problems in one and two dimensions. We approach this from the perspective of phase error, which allows us to exploit the hyperbolic nature of the underlying PDE. In particular, we consider three combinations of coarse grid operators and coarse grid solution approaches: (1) inexact c...

Abstract. Many physical materials of practical relevance can attain several variants of crystalline microstructure. The appropriate energy functional is necessarily non-convex, and the minimization of the functional becomes a challenging problem. A new numerical method based on discontinuous nite elements and a scaled energy functional is proposed. It exhibits excellent convergence behavior for...