Port-Hamiltonian Modeling of a Nonlinear Timoshenko Beam with Piezo Actuation

DOI10.1137/090774598zbMath1417.37294OpenAlexW2155142509MaRDI QIDQ5494885

Jacquelien M. A. Scherpen, Thomas Voß

Publication date: 30 July 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/17a98ad51b6d41aa94be34771228d2709d3061d1

zbMATH Keywords

Timoshenko beampiezoelectric materialport-Hamiltonian systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Technical applications of optics and electromagnetic theory (78A55) Dynamical systems in control (37N35) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

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Structure Preserving Spatial Discretization of a Piezoelectric Beam ⋮ Active piezoelectric vibration control for a Timoshenko beam ⋮ Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis ⋮ Dynamic and electrostatic modeling for a piezoelectric smart composite and related stabilization results ⋮ Stabilization results for well-posed potential formulations of a current-controlled piezoelectric beam and their approximations ⋮ Nonlinear vibrations of a rotating thin-walled composite piezo-beam with circumferentially uniform stiffness (CUS) ⋮ Boundary feedback stabilization of a novel bilinear and extensible piezoelectric beam model

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