A thorough look at the (in)stability of piston-theoretic beams
From MaRDI portal
Publication:2305093
DOI10.3934/mine.2019.3.614zbMath1432.74111arXiv1903.07244OpenAlexW2966059082MaRDI QIDQ2305093
Jason S. Howell, Justin T. Webster, Spencer Wilder, Katelynn Huneycutt
Publication date: 10 March 2020
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07244
Related Items
Theory of solutions for an inextensible cantilever, Asymptotic finite-dimensional approximations for a class of extensible elastic systems, Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid–structure interaction problem, Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space, A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes, Large deflections of inextensible cantilevers: modeling, theory, and simulation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear elastic plate in a flow of gas: recent results and conjectures
- Quasi-stability and exponential attractors for a non-gradient system -- applications to piston-theoretic plates with internal damping
- Flow-plate interactions: well-posedness and long-time behavior
- Eliminating flutter for clamped von Karman plates immersed in subsonic flows
- Dynamics of quasi-stable dissipative systems
- Weak and strong solutions of a nonlinear subsonic flow-structure interaction: semigroup approach
- Long-time behavior of a model of extensible beams with nonlinear boundary dissipations
- Proof of extensions of two conjectures on structural damping for elastic systems
- Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
- Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis
- Attractors for non-dissipative irrotational von Karman plates with boundary damping
- Solvability of reduced Possio integral equation in theoretical aeroelasticity
- Static stability analysis of a thin plate with a fixed trailing edge in axial subsonic flow: Possio integral equation approach
- A general framework for the study of indirect damping mechanisms in elastic systems
- Free vibrations and dynamic buckling of the extensible beam
- Stability theory for an extensible beam
- Initial-boundary value problems for an extensible beam
- Feedback Stabilization of a Fluttering Panel in an Inviscid Subsonic Potential Flow
- Flapping dynamics of an inverted flag
- Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping
- Long-time behavior of second order evolution equations with nonlinear damping
- Von Karman Evolution Equations
- Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis
- The Non-linear Equations of Motion of Pipes Conveying Fluid
- A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes
- ANALYTICITY, HYPERBOLICITY AND UNIFORM STABILITY OF SEMIGROUPS ARISING IN MODELS OF COMPOSITE BEAMS
- Global attractor and inertial set for the beam equation
- A comparison of certain elastic dissipation mechanisms via decoupling and projection techniques
- Exponential attractors for extensible beam equations
- DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
