Piezoelectric vibrations of composite beams with interlayer slip
type: Item
instance of: scholarly article
title: Piezoelectric vibrations of composite beams with interlayer slip
zbMATH Open document ID: 1003.74035
DOI: 10.1007/BF01182514
published in: Acta Mechanica
publication date: 2003-01-27T00:00:00Z
review text: The authors describe actuating piezoelectric effects in two-layer beams with interlayer slip. Special attention is given to identification of piezoelectric actuations as eigenstrains. An analogy between the piezoelectric effect and that of thermal strains is utilized, where a layer-wise first-order flexural theory is applied to two-layer beams with various boundary conditions. The layers are assumed to be made of piezoelectric materials, the Bernoulli-Euler hypothesis is assumed to hold separately for each layer, and a linear constitutive relation between horizontal slip and interlaminar shear force is considered. The authors solve the governing sixth-order initial-boundary value problem by separating the dynamic response into a quasistatic and into a complementary dynamic portion. The quasistatic solution that may also contain singularities or discontinuities due to sudden load changes is determined in a closed form. The remaining complementary dynamic part is nonsingular and can be approximated by a truncated modal series of accelerated convergence.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74H05
Mathematics Subject Classification ID: 74H10
zbMATH DE Number: 1487298
zbMATH Keywords: dynamic solution
zbMATH Keywords: two-layer beams
zbMATH Keywords: interlayer slip
zbMATH Keywords: piezoelectric actuation
zbMATH Keywords: eigenstrains
zbMATH Keywords: thermal strains
zbMATH Keywords: layer-wise first-order flexural theory
zbMATH Keywords: Bernoulli-Euler hypothesis
zbMATH Keywords: linear constitutive relation
zbMATH Keywords: interlaminar shear force
zbMATH Keywords: sixth-order initial-boundary value problem
zbMATH Keywords: quasistatic solution
zbMATH Keywords: truncated modal series
author: R. Heuer
author: Christoph Adam
reviewed by: J. Genin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1487298