This paper addresses a detailed literature review on non-linear modes of vibration and its
role in obtaining more efficient reduced-order models, as compared to those obtained by …

A rigorous derivation of non-linear equations governing the dynamics of an axially loaded
beam is given with a clear focus to develop robust low-dimensional models. Two important …

In this paper, we study the two-to-one internal resonance of an inclined marine riser under
harmonic excitations. The riser is modeled as an Euler–Bernoulli beam accounting for mid …

Offshore catenary risers are used in the exploitation of deep-water oil and gas fields. They
are subjected to severe dynamical loads, such as high-pressure inside-flow of fluids, sea …

We present a study of the natural (resonance) frequencies of a tunable in-plane
Microelectromechanical portal frame (U-shape) under DC electrostatic loads. The structure …

It is largely accepted that non-linear modes of vibration may be particularly suitable for
obtaining 'reduced-order'models in non-linear dynamics, for their ability to grasp the …

Offshore catenary risers are used in the exploitation of deep-water oil and gas fields, such as
those along the Brazilian Southeast coast. They are subjected to severe dynamical loads …

In any problem of structural engineering, there is the need of creation of a mathematical
model to represent the desired physical phenomenon, followed by its solution. The latter …

Este trabalho tem por objetivos: o estudo do comportamento dinâmico nãolinear de risers
oceânicos, utilizando modos não-lineares de vibração, e o controle ativo das vibrações …

It is largely accepted that non-linear modes of vibration may be particularly suitable for
obtaining 'reduced-order'models in non-linear dynamics, for their ability to grasp the …