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An Electro-mechanically Coupled Smart Beam Modeling Methodology
A Variational Asymptotic Methodology of Smart Slender Structure Modeling
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The present research develops a one dimensional§model for an electro-mechanical slender structure by§application of Variational Asymptotic Method. An§electro-mechanical generalized cross-sectional model§for beam like slender structure has been derived by a§two-step procedure of dimensional reduction. First,§the 3D governing variational statement for§electro-mechanical system has been§approximated asymptotically, followed by a§cross-sectional minimization on the approximated§functional. Depending on the type of§electrode arrangements, the whole problem has been§classified into two separate categories:§Axial-Problem and Radial-Problem. Axial problem§contains an extra 1D electrical degree of freedom§along with the six conventional mechanical degrees of§freedom commonly considered in Timoshenko like§modeling. Radial problem contains only mechanical§degrees of freedom in its 1D representation.
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