The natural vibrations and critical loads of foundation beams embedded in a soil simulated
with two elastic parameters through the Winkler–Pasternak (WP) model are analysed …

A variational method developed by the authors and named whole element method (WEM) is
used to find the arbitrary precision frequencies of a rectangular thin plate (within the …

An initial conditions problem is addressed by first transforming it into a boundary value one.
An appropriate functional and an extremizing sequence are proposed. The methodology …

Non-linear dynamic problems governed by ordinary (ODE) or partial differential equations
(PDE) are herein approached by means of an alternative methodology. A generalized …

Las investigaciones realizadas para la elaboración de la presente tesis involucran
desarrollos con series de potencias enteras para abordar el estudio del comportamiento …

The present work is an extension of a tool vastly used by the authors to solve static boundary
problems in one, two, and even three dimensions. It consists in a so-called generalized …

In this paper, the plate is assumed as a regular prism of arbitrary aspect ratio and thickness
with four consecutive faces clamped. By increasing the thickness from zero, one may model …

Extended trigonometric series of uniform convergence are proposed as a method to solve
the nonlinear dynamic problemsgoverned by partial differential equations. In particular, the …

The natural vibrations of arbitrary shaped membranes under tension are studies using the
Whole Element Method (WEM) developed by the authors for boundary problems in 1D, 2D …

En el presente trabajo se recurre a un método variacional directo, denominado MEC
(Método del Elemento Completo) para la determinación de las frecuencias naturales de …