A system of two degrees of freedom with quadratic and cubic nonlinearities and subjected to
parametric and external excitations is studied and solved. The method of multiple scale …

We determine the response of bowed structural elements to a two-frequency, transverse
load. The effects of both initial curvature (ie, quadratic nonlinearities) and mid-surface …

Purpose: Purpose of this paper is the theoretical formulation of elasto-dynamics behaviour of
fully cracked concrete beams for two-degree of freedom (DOF) dynamical system. Such …

The response of a system of two nonlinearly coupled van der Poloscillators to a principal
parametric excitation in the presence ofone-to-one internal resonance is investigated. The …

Of late, the attention of the dynamicists has increasingly been focused on the multi-degree of
freedom (MDOF) nonlinear dynamical systems. In the present paper, a new class of …

When structures are subjected to dynamic types of loads, cracks are fairly consistent. Under
dynamic loads, such structures exhibit nonlinear and inelastic behaviour. If a suitable load …

This textbook is devoted to nonlinear physics, using the asymptotic perturbation method as a
mathematical tool. The theory is developed systematically, starting with nonlinear oscillators …

When subjected to time-dependent dynamic loading, concrete structures possess tension
cracks. Such existing internal cracks have a breathing action (opening-closing-reopening) …

The response of a parametrically excited two-degree-of-freedom system with quadratic and
cubic nonlinearities and a nonsemisimple one-to-one internal resonance is investigated …

This paper presents an analysis for the nonlinear in-plane motion of wind turbine blade
under the combined action of parametric and forced excitations. The Bernoulli-Euler beam …