On the stability of two-dimensional membrane wings

Tiomkin, Sonya; Raveh, Daniella E.

doi:10.1016/j.jfluidstructs.2017.03.003

Cited by 24 publications

(36 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this appendix we derive the equation for the pressure jump [p](α, t) across the membrane, given by (18), as in [64] but for an extensible body. We use vector notation instead of complex notation.…”

Section: A Pressure Jump Equationmentioning

confidence: 99%

“…Sygulski studied the membrane flutter threshold and divergence modes theoretically, with some experimental validation [16]. Tiomkin and Raveh presented a more detailed flutter threshold calculation using an inviscid, small amplitude vortex sheet model [18]. Nardini et al compared a reduced-order model with direct numerical simulations to study the effect of Reynolds number on the flutter stability threshold and small-amplitude membrane deflection modes [51].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Large-amplitude membrane flutter in inviscid flow

Mavroyiakoumou

Alben

2020

J. Fluid Mech.

View full text Add to dashboard Cite

We study the large-amplitude flutter of membranes (of zero bending rigidity) with vortex-sheet wakes in 2D inviscid fluid flows. We apply small initial deflections and track their exponential decay or growth and subsequent large-amplitude dynamics in the space of three dimensionless parameters: membrane pretension, mass density, and stretching modulus. With both ends fixed, all the membranes converge to steady deflected shapes with single humps that are nearly fore-aft symmetric, except when the deformations are unrealistically large. With leading edges fixed and trailing edges free, the membranes flutter with very small amplitudes and high spatial and temporal frequencies at small mass density. As mass density increases, the membranes transition to periodic and then increasingly aperiodic motions, and the amplitudes increase and spatial and temporal frequencies decrease. With both edges free, the membranes flutter similarly to the fixedfree case but also translate vertically with steady, periodic, or aperiodic trajectories, and with nonzero slopes that lead to small angles of attack with respect to the oncoming

show abstract

Section: A Pressure Jump Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Large-amplitude membrane flutter in inviscid flow

Mavroyiakoumou

Alben

2020

J. Fluid Mech.

View full text Add to dashboard Cite

show abstract

“…Recent works on membrane flutter are motivated by such diverse applications as stability of membrane roofs in civil engineering (Sygulski 2007), flutter of travelling paper webs (Banichuk et al 2010(Banichuk et al , 2019, aerodynamics of sails and membrane wings of natural flyers (Newman & Paidoussis 1991;Tiomkin & Raveh 2017), as well as the design of piezoaeroelastic systems for energy harvesting (Mavroyiakoumou & Alben 2020).…”

Section: Introductionmentioning

confidence: 99%

“…Assuming small vertical displacement of the membrane w(X, t), where t is time, a constant tension T along the membrane profile and neglecting viscous forces, we write the dimensional membrane dynamic equation as (Tiomkin & Raveh 2017)…”

Section: Introductionmentioning

confidence: 99%

Membrane flutter induced by radiation of surface gravity waves on a uniform flow

Labarbe¹,

Kirillov

2020

J. Fluid Mech.

View full text Add to dashboard Cite

show abstract

“…Non dimensional numbers for MAV and Flag are taken respectively from Rojratsirikul et al (2011) and Connell and Yue (2007 (Rojratsirikul et al, 2011). When the structure is very flexible such as a membrane, large deformations are expected and the fluid-structure coupling may be strong, particularly if the membrane is not highly constrained (Glück et al, 2001;Knight et al, 2010;Durand et al, 2014;Michalski et al, 2015;Deparday et al, 2016;Chae et al, 2016;Tiomkin and Raveh, 2017;Waldman and Breuer, 2017).…”

mentioning

confidence: 99%