Asymptotic Analysis of Elastic Coupling in Anisotropic-Homogeneous Beam

Abstract

Elastic coupling is extensively used for passive control of modern structures. This design philosophy has been extensively explored in composite beams, which are inherently inhomogeneous and anisotropic. Such in-depth investigation is not available for homogeneous-anisotropic beams. This paper investigates elastic coupling in homogeneous-anisotropic beam with elliptical cross section using variational asymptotic method (VAM). It is observed that the mere introduction of anisotropy does not couple the system completely. The coupling is tuneable and tailorable, depending on the material properties, their spatial distribution (homogeneity/inhomogeneity), and the geometrical parameters of the beam.