Nonlinear Aeroelasticity

Dowell, Earl H.

doi:10.1007/978-3-030-74236-2_11

Cited by 6 publications

(13 citation statements)

References 95 publications

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“…In terminology of the work [10], the 'Ziegler's double pendulum' is a MDKN-system due to absence of gyroscopic forces, which are typical in the reduced order models of fluidstructure interaction problems of aeroelasticity [1,3,4] thus representing MDGKN systems [10].…”

Section: (A) the Counterintuitive Character Of Flutter Instabilitymentioning

confidence: 99%

“…The latter assumption holds when the structural vibrations can be neglected as characterized by a velocity much smaller than that of the fluid flow. Under this circumstance, the coupling between the structure and the fluid reduces to a weak coupling and so the aeroelastic force F a can be approximated at small amplitude vibrations as [1,4,28]…”

Section: (A) the Counterintuitive Character Of Flutter Instabilitymentioning

confidence: 99%

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Flutter instability in solids and structures, with a view on biomechanics and metamaterials

Bigoni,

Dal Corso,

Kirillov

et al. 2023

Proc. R. Soc. A.

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The phenomenon of oscillatory instability called ‘flutter’ was observed in aeroelasticity and rotor dynamics about a century ago. Driven by a series of applications involving non-conservative elasticity theory at different physical scales, ranging from nanomechanics to the mechanics of large space structures and including biomechanical problems of motility and growth, research on flutter is experiencing a new renaissance. A review is presented of the most notable applications and recent advances in fundamentals, both theoretical and experimental aspects, of flutter instability and Hopf bifurcation. Open problems, research gaps and new perspectives for investigations are indicated.

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Section: (A) the Counterintuitive Character Of Flutter Instabilitymentioning

confidence: 99%

Section: (A) the Counterintuitive Character Of Flutter Instabilitymentioning

confidence: 99%

Flutter instability in solids and structures, with a view on biomechanics and metamaterials

Bigoni,

Dal Corso,

Kirillov

et al. 2023

Proc. R. Soc. A.

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“…The dynamic similarity law for the FSI consists of four nondimensional parameters: 𝛼, Re, Ca, and R M are, respectively, the ratio of the inertial force due to the local acceleration to that due to the advection, 98 the Reynolds number or the ratio of the inertial force due to the advection to the viscous force, 98 the Cauchy number or the ratio of the fluid dynamic pressure to the structural elastic force, 99 and the (solid-to-fluid) mass ratio, 100,101 which are written with respect to the characteristic length L, the characteristic velocity V, and the characteristic time T as follows…”

Section: Basic Verification Of the Algorithm And The Implementation C...mentioning

confidence: 99%

Computational fluid–structure interaction framework for passive feathering and cambering in flapping insect wings

Ishihara,

Onishi

2023

Numerical Methods in Fluids

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In flapping insect wings, veins support flexible wing membranes such that the wings form feathering and cambering motions passively from large elastic deformations. These motions are essentially important in unsteady aerodynamics of insect flapping flight. Hence, the underlying mechanism of this phenomenon is an important issue in studies on insect flight. Systematic parametric studies on strong coupling between a model wing describing these elastic deformations and the surrounding fluid, which is a direct formulation of this phenomenon, will be effective for solving this issue. The purpose of this study is to develop a robust numerical framework for these systematic parametric studies. The proposed framework consists of two novel numerical methods: (1) A fully parallelized solution method using both algebraic splitting and semi‐implicit scheme for monolithic fluid–structure interaction (FSI) equation systems, which is numerically stable for a wide range of properties such as solid‐to‐fluid mass ratios and large body motions, and large elastic deformations. (2) A structural mechanics model for insect flapping wings using pixel modeling (pixel model wing), which is combined with explicit node‐positioning to reduce computational costs significantly in controlling fluid meshes. The validity of the proposed framework is demonstrated for some benchmark problems and a dynamically scaled model incorporating actual insect data. Finally, from a parametric study for the pixel model wing flapped in fluid with a wide range of solid‐to‐fluid mass ratios, we find a FSI mechanism of feathering and cambering motions in flapping insect wings.

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“…Here, we impose the so‐called impermeability condition on Ω; namely, we assume that no fluid passes through the elastic portion of the boundary during deflection [15, 28]. Also, note that the FSI problem under consideration has a material derivative term on the deflected interaction surface, which computes the time rate of change of any quantity such as temperature or velocity (and hence also acceleration) for a portion of a material in motion.…”

Section: Introductionmentioning

confidence: 99%

Semigroup wellposedness and asymptotic stability of a compressible Oseen–structure interaction via a pointwise resolvent criterion

Geredeli

2023

Mathematische Nachrichten

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In this study, we consider the Oseen structure of the linearization of a compressible fluid-structure interaction (FSI) system for which the interaction interface is under the effect of material derivative term. The flow linearization is taken with respect to an arbitrary, variable ambient vector field. This process produces extra "convective derivative" and "material derivative" terms, which render the coupled system highly nondissipative. We show first a new well-posedness result for the full incorporation of both Oseen terms, which provides a uniformly bounded semigroup via dissipativity and perturbation arguments. In addition, we analyze the long time dynamics in the sense of asymptotic (strong) stability in an invariant subspace (one-dimensional less) of the entire state space, where the continuous semigroup is uniformly bounded. For this, we appeal to the pointwise resolvent condition introduced in Chill and Tomilov [Stability of operator semigroups: ideas and results, perspectives in operator theory Banach center publications, 75 (2007), Institute of Mathematics Polish Academy of Sciences, Warszawa, 71-109], which avoids an immensely technical and challenging spectral analysis and provides a short and relatively easy-to-follow proof.

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Nonlinear Aeroelasticity

Cited by 6 publications

References 95 publications

Flutter instability in solids and structures, with a view on biomechanics and metamaterials

Flutter instability in solids and structures, with a view on biomechanics and metamaterials

Computational fluid–structure interaction framework for passive feathering and cambering in flapping insect wings

Semigroup wellposedness and asymptotic stability of a compressible Oseen–structure interaction via a pointwise resolvent criterion

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