Piezoelectric vibrations of composite beams with interlayer slip

DOI10.1007/BF01182514zbMath1003.74035MaRDI QIDQ1573464

Rudolf Heuer, Christoph Adam

Publication date: 27 January 2003

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

eigenstrainspiezoelectric actuationinterlayer slipdynamic solutionlinear constitutive relationthermal strainstwo-layer beamsBernoulli-Euler hypothesisinterlaminar shear forcelayer-wise first-order flexural theoryquasistatic solutionsixth-order initial-boundary value problemtruncated modal series

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Electromagnetic effects in solid mechanics (74F15) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (6)

Single point vibration control for a passive piezoelectric Bernoulli-Euler beam subjected to spatially varying harmonic loads ⋮ On the eigenfrequencies of preloaded rotationally restrained extensible circular beams by Green's functions ⋮ A verified analytical sandwich beam model for soft and hard cores: comparison to existing analytical models and finite element calculations ⋮ Flexural vibrations of geometrically nonlinear composite beams with interlayer slip ⋮ Thermo-piezoelectric flexural vibrations of viscoelastic panel-type laminates with interlayer slip ⋮ In-plane instability of shallow layered arches with interlayer slip

Cites Work

• Dynamic analysis of elastic-plastic beams by means of thermoelastic solutions
• Static and dynamic analysis of transversely isotropic, moderately thick sandwich beams by analogy
• Layerwise mechanics and finite element for the dynamic analysis of piezoelectric composite plates
• Flexural vibrations of elastic composite beams with interlayer slip
• A Laminated Beam Theory With Interlayer Slip
• Maysel's formula generalized for piezoelectric vibrations - Application to thin shells of revolution
• Geometrically Nonlinear Theory of Multilayered Plates with Interlayer Slips
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