It is well known that the propagation of Lamb waves in elastic solid medias depends on frequency and material properties, but it does not depend direction isotropic gives rise to two basic types modes, symmetric antisymmetric ones. This paper presents an application semi-analytical finite element (SAFE) method aluminum plate thickness e = 2mm . The main goal this make a quantitative evaluation ...

Scientific studies often require the precise calculation of derivatives. In many cases an analytical calculation is not feasible and one resorts to evaluating derivatives numerically. These are error-prone, especially for higher-order derivatives. A technique based on algorithmic differentiation is presented which allows for a precise calculation of higher-order derivatives. The method can be w...

We present an algorithm for the quick delineation of capture zones using complex discharge potential. The flow is steady and two-dimensional in a homogeneous domain with anisotropic transmissivity. The procedure accommodates an arbitrary number of injection and extraction wells at any locations throughout the flowfield, as well as regional flow, in the form of a uniform flow component. Capture ...

This study presents a simplified approach to studying the dynamics of global texture collapse. We derive equations of motion for a spherically symmetric field configuration using a two parameter ansatz. Then we analyse the effective potential for the resulting theory to understand possible trajectories of the field configuration in the parameter space of the ansatz. Numerical results are given ...

Abstract—This paper presents new semi-analytical expressions to calculate the self-inductance and the electromagnetic force for a ferromagnetic cylinder of finite length placed inside a circular coil of rectangular cross section. The proposed analytical model is based on boundary value problems with Fourier analysis. Laplace’s and Poisson’s equations are solved in each region by using the separ...

Several methods are presented for highly efficient calculation of substrate noise transport in integrated circuits. A three-dimensional Green’s function-based boundary element method, accelerated through use of the fast Fourier transform, allows the computation of sensitivities with respect to all substrate parameters at a considerably higher speed than any methods reported in the literature. S...

The goal of this paper is to present a semi analytical method which makes it possible the calculation of the dynamic iron losses in a three phase induction machine taking the slotting effect into account. The particularity of this method is that it allows the distinction of the stator and the rotor slot openings contribution in the dynamic and, consequently, in the total iron losses. This analy...

The objective of this article is to carry out an approximate analytical solution of the time fractional order Cauchy-reaction diffusion equation by using a semi analytical method referred as the fractional-order reduced differential transform method (FRDTM). The fractional derivative is illustrated in the Caputo sense. The FRDTM is very efficient and effective powerful mathematical tool for sol...

Saikosaponin (SS) A is a compound with various pharmacological properties and is easily degraded into SS-B1 and SS-G under acid conditions. In the present work, two new degradation products of SS-A, formed under acid hydrolytic conditions, were detected and isolated using analytical and semi-preparative liquid chromatography technology; furthermore, their structures were characterized as hydrox...