Vibration and damping analysis of sandwich electrorheological fluid deep arches with bi-directional FGM containers

Abstract

In this project, for the first time, the dynamic features of a deep sandwich arch with an electrorheological fluid (ERF) core are evaluated. The retentive face sheets of this structure are composed of novel bi-directionally functionally graded materials (FGMs) according to a dual-index power law. The curved beam's displacement field is predicted by applying the sandwich theory, which takes into account shear deformations and rotating inertias for all layers. When calculating the equivalent features of FGM face layers, the rule of mixtures is utilized as a homogenization technique. The ERF core's constitutive law is found to be in the pre-yield zone by considering the magnitudes of the electric field applied. Employing Hamilton's principle, the dynamic equations in terms of displacement components are derived. The discrete version of these equations is achieved by the use of the Chebyshev collocation tool. Parametric investigations are carried out after analyzing the efficacy and precision of the used approach and formulation via the presentation of verification cases. In the parametric section, the contribution of each geometric and material characteristic, as well as different boundary conditions, on the system frequencies and related mode shapes and loss factors, will be explored.