Wave splitting of the Timoshenko beam equation in the time domain

DOI10.1007/BF00952082zbMath0820.73038MaRDI QIDQ1804270

Peter Olsson, Gerhard Kristensson

Publication date: 11 May 1995

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

hyperbolicityEuler-Bernoulli equationRayleigh equationsfourth order PDE

Mathematics Subject Classification ID

Related Items (15)

Smooth dynamics of a Timoshenko system with hybrid dissipation ⋮ On the whole spectrum of Timoshenko beams. II: Further applications ⋮ On the whole spectrum of Timoshenko beams. I: A theoretical revisitation ⋮ Invariance of decay rate with respect to boundary conditions in thermoelastic Timoshenko systems ⋮ Quasi-stability property and attractors for a semilinear Timoshenko system ⋮ Wave propagators for the Timoshenko beam ⋮ On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction ⋮ An inverse problem for a viscoelastic Timoshenko beam model ⋮ Non-homogeneous thermoelastic Timoshenko systems ⋮ Timoshenko beam theory: a perspective based on the wave-mechanics approach ⋮ Long-time dynamics of a nonlinear Timoshenko beam with discrete delay term and nonlinear damping ⋮ On a Timoshenko system with thermal coupling on both the bending moment and the shear force ⋮ Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping ⋮ On Modeling and Uniform Stability of a Partially Dissipative Viscoelastic Timoshenko System ⋮ Pullback dynamics of non-autonomous Timoshenko systems

Cites Work

• Derivation of linear beam equations using nonlinear continuum mechanics
• Inhomogeneous Timoshenko beam equations
• On the Proper Boundary Conditions for a Beam
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