Cross-sectional analysis of nonhomogeneous anisotropic active slender structures
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In this article, a general formulation for the reduction of the three-dimensional problem of electrothermoelasticity in slender solids to an arbitrarily defined reference line is presented, which is based on a variationalasymptotic formulation, using the slenderness ratio as small parameter.Abstract:
A general formulation for the reduction of the three-dimensional problem of electrothermoelasticity in slender solids to an arbitrarily defined reference line is presented The dimensional reduction is based on a variationalasymptotic formulation, using the slenderness ratio as small parameter In the proposed scheme, the coupled linear electroelastic equations are solved at the cross-sectional level using the finite element method Furthermore, modal components of the displacement field are added to introduce arbitrary deformation shapes into the onedimensional analysis, and arbitrary electric modes are used to define applied electric fields at the cross section This results in a general definition of a coupled electroelastic stiffness, which can be used in virtually all composite and active beam formulations, as well as in the development of new low-order high-accuracy reduced models for active structures Finally, the formulation also yields recovery relations for the elastic and electric fields in the original three-dimensional solid, once the one-dimensional problem is solved The method has been implemented in a computer program (UM/VABS) and numerical results are presented for active anisotropic beam cross sections of simple geometries, which are shown to compare very well with three-dimensional finite element analysisread more
Citations
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References
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Theory of Elasticity (3rd ed.)
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Modelling of Piezoelectric Actuator Dynamics for Active Structural Control
TL;DR: In this article, the effects of dynamic coupling between a structure and an electrical network through the piezoelectric effect are derived. But the authors focus on the case of a cantilevered beam with surface mounted piezoceramics and indirect voltage and current drive.
Proceedings ArticleDOI
Low-cost piezocomposite actuator for structural control applications
William K. Wilkie,Robert G. Bryant,James W. High,Robert L. Fox,Richard F. Hellbaum,Anthony Jalink,Bruce D. Little,Paul H. Mirick +7 more
TL;DR: In this article, a planar composite piezoceramic actuator is presented, which uses interdigitated electrodes for poling and subsequent actuation of an internal layer of machined piezoelectric fibers.