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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.
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.