Asymptotic Analysis of Elastic Coupling in Anisotropic-Homogeneous Beam


 Elastic coupling is extensively used for passive control of modern structures. This design philosophy has been extensively explored in composite beams, which are inherently in-homogeneous 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 tune-able and tailorable, depending on the material properties, their spatial distribution (homogeneity/in-homogeneity) and the geometrical parameters of the beam.