This paper investigates the well-posedness of global solutions, the existence of global and
exponential attractors and their continuity for an extensible beam equation with rotational …

This paper investigates the existence of strong global and exponential attractors and their
robustness on the perturbed parameter for an extensible beam equation with nonlocal …

An electromechanical model for beam-like piezoelectric energy harvesters based on
Reissner's beam theory is developed in this paper. The proposed model captures first-order …

In this paper we consider the nonlinear beam equations accounting for rotational inertial
forces. Under suitable hypotheses we prove the existence, regularity and finite …

Recent equations of motion for the large deflections of a cantilevered elastic beam are
analyzed. In the traditional theory of beam (and plate) large deflections, nonlinear restoring …

We consider a beam model representing the transverse deflections of a one dimensional
elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic …

The large deflections of cantilevered beams and rectangular plates are modeled and
discussed. Traditional nonlinear elastic models (eg, von Karman's) employ elastic restoring …

A recent large deflection cantilever model is considered. The principal nonlinear effects
come through the beam's inextensibility–local arc length preservation–rather than traditional …

Existing piezoelectric beam models in the literature mostly ignore the nonlinear contributions
of longitudinal vibrations to the bending motions. However, these interactions substantially …

The strong asymptotic stabilization of 3D hyperbolic dynamics is achieved by a damped 2D
elastic structure. The model is a Neumann wave-type equation with low regularity coupling …