Theory of solutions for an inextensible cantilever

DOI10.1007/s00245-021-09798-0zbMath1485.74056arXiv2005.11836OpenAlexW3178531066MaRDI QIDQ832597

Maria Deliyianni, Justin T. Webster

Publication date: 25 March 2022

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11836

zbMATH Keywords

spectral Galerkin methodlarge deflectionglobal-in-time well-posednessKelvin-Voigt structural dampingquasilinear stiffness effect

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

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• Nonlinear elastic plate in a flow of gas: recent results and conjectures
• Modeling and analysis of a three-layer damped sandwich beam
• Proof of extensions of two conjectures on structural damping for elastic systems
• Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
• Mathematical theory of evolutionary fluid-flow structure interactions
• The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods
• A thorough look at the (in)stability of piston-theoretic beams
• Long-time behavior of quasilinear thermoelastic Kirchhoff-Love plates with second sound
• Von Karman Evolution Equations
• The Non-linear Equations of Motion of Pipes Conveying Fluid
• Global exixtence and exponential decay estimates for a dampad quasilinear equation
• A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes
• Large deflections of inextensible cantilevers: modeling, theory, and simulation
• A comparison of certain elastic dissipation mechanisms via decoupling and projection techniques
• On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
• Nonlinear problems of elasticity
• A modern course in aeroelasticity.