For a simply supported Bernoulli-Euler beam under moving load with constant velocity the bending and torsion vibrations are analysed. An analytical solution of decoupled partial differential equations is derived based on eigenmode expansion considering boundary initial conditions. pure analysis performed calculated. various longitudinal speeds results plotted. The coupled deformations computed ...

Higher-order, large-domain electromagnetic simulations are presented based on the finite element method (FEM), method of moments (MoM), and physical optics (PO). The simulations combine higher order geometrical modeling and higher order field/current modeling, which is referred to as double-higher-order modeling. The examples demonstrate that accurate and efficient FEM, MoM, and PO simulations ...

An overlapping iterative domain decomposition approach for the coupling of the finite element method (FEM) and the boundary element method (BEM) is presented in this paper. In this proposed method, the domain of the original problem is subdivided into a FEM sub-domain and a BEM sub-domain, such that the two sub-domains partially overlap over a common region. The common region is modeled by both...

the bem is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. the problem is formulated in terms of the warping function. this formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized neumann type boundary condition. the problem is solved using the analog equation method (aem)...

Dynamic rupture process of earthquake fault and its near-field strong ground motions are simulated by time-space-decoupled, explicit finite element method with multi-transmitting formula (MTF) of artificial boundary in this paper. This decoupled, explicit method has advantage to easily incorporate into time-step simulation of dynamic rupture process on earthquake fault, as well as wave motions....

In this paper, we study a multiscale finite element method for solving a class of elliptic problems with finite number of well separated scales. The method is designed to efficiently capture the large scale behavior of the solution without resolving all small scale features. This is accomplished by constructing the multiscale finite element base functions that are adaptive to the local property...

In this paper, we study an adaptive finite element method for multiple eigenvalue problems. We obtain both convergence rate and quasi-optimal complexity of the adaptive finite element eigenvalue approximation, without any additional assumption to those required in the adaptive finite element analysis for the boundary value problem. Our analysis is based on a certain relationship between the fin...

SUMMARY Metamaterials are generally defined as a class of artificial effective media which macroscopically exhibit extraordinary electromagnetic properties that may not be found in nature, and are composed of periodically structured dielectric, or magnetic, or metallic materials. This paper reviews recently developed electromagnetic modeling methods of metama-tericals and their inherent basic i...