An Electro-mechanically Coupled Smart Beam Modeling Methodology

The present research develops a one dimensionalmodel for an electro-mechanical slender structure byapplication of Variational Asymptotic Method. Anelectro-mechanical generalized cross-sectional modelfor beam like slender structure has been derived by atwo-step procedure of dimensional reduction. First,the 3D governing variational statement forelectro-mechanical system has beenapproximated asymptotically, followed by across-sectional minimization on the approximatedfunctional. Depending on the type ofelectrode arrangements, the whole problem has beenclassified into two separate categories:Axial-Problem and Radial-Problem. Axial problemcontains an extra 1D electrical degree of freedomalong with the six conventional mechanical degrees offreedom commonly considered in Timoshenko likemodeling. Radial problem contains only mechanicaldegrees of freedom in its 1D representation.... Mehr