Recently, many optimal designs for axial flux permanent magnet (AFPM) motors were performed based on finiteelement (FE) analysis. Most of the models are based on reduction of 3D problem to 2D problem which is not accurate for design aspects. This paper describes an accurate electromagnetic analysis of a surface mounted, 28 pole AFPM with concentrated stator winding. The AFPM is modeled with thr...

Surface-micromachined comb-drive resonators suspended by meander springs are modelled and simulated. General analytic expressions for lateral spring constants and effective mass of meander springs are derived and verified by finiteelement simulations. The spring constant equations are accurate to within 1% over a wide range of geometries. Analytic, simulated, and measured resonant frequency val...

In this paper, two-dimensional time-stepping finiteelement (TSFE) method is performed for modeling and analyzing of a salient pole synchronous generator with different degree of dynamic eccentricity (DE) fault. TSFE analysis is used to describe the influence of DE fault on the flux distribution within the generator and no-load voltage profiles at low and high field current is obtained for healt...

This paper generalizes results that relate the connectivity of a weighted graph to the smallest nonzero eigenvalue of the graph’s Laplacian matrix. We generalize these results to hypergraphs with vector-valued vertices and matrix-valued edges. Our definitions of hypergraphs and their connectivity are designed to model finite-element meshes. The physical interpretation of our results is as follo...

This paper presents the method of modeling the torquc generated by a variable reluctance spherical motor W S M ) that presents some attractive possibilities by combining pitch, roll, and yaw motion in a single joint. Unlike prior works on the torque formulation of a VRSM, which were based on a lumpedparameter approach using equivalent magnetic circuits (widely ised in developing forceitorque mo...

This paper presents a multi-scale modeling approach involving interfacial interactions to predict the elastic properties and mechanical behavior of single-layer graphene-reinforced nanocomposites under tension load. A model was developed using finite element method tripartite structure consisting graphene in epoxy, region their Van Der Walls interactions. The effect chirality investigated by pr...

A simple and accurate model is presented for computation of the electromagnetic induction (EMI) resonant frequencies of canonical conducting and ferrous targets, in particular, finite-length cylinders and rings. The imaginary resonant frequencies correspond to the well known exponential decay constants of interest for time-domain EMI interaction with conducting and ferrous targets. The results ...

Superconvergence of the gradient for the linear simplicial finite-element method applied to elliptic equations is a well known feature in one, two, and three space dimensions. In this paper we show that, in fact, there exists an elegant proof of this feature independent of the space dimension. As a result, superconvergence for dimensions four and up is proved simultaneously. The key ingredient ...

Elastic property-porosity relationships are derived directly from microtomographic images. This is illustrated for a suite of four samples of Fontainebleau sandstone with porosities ranging from 7.5% to 22%. A finiteelement method is used to derive the elastic properties of digitized images. By estimating and minimizing several sources of numerical error, very accurate predictions of properties...

We introduce an accurate cell-centered method for modeling Darcy flow on general quadrilateral, hexahedral, and simplicial grids. We refer to these discretizations as the multipoint-flux mixed-finiteelement (MFMFE) method. The MFMFE method is locally conservative with continuous fluxes and can be viewed within a variational framework as a mixed finite-element method with special approximating s...