Flutter and divergence instability regions of a column subjected to the load realized by means of a jet engine with an additional guiding structure

Uzny, Sebastian; Sokół, Krzysztof; Waryś, Paweł

doi:10.1016/j.jsv.2023.117580

Cited by 4 publications

(2 citation statements)

References 28 publications

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“…Several attempts of providing experimental evidence to the concept using air or fluid flow from a nozzle [147][148][149] or using a rocket motor [150,151] were at least in part successful, nevertheless criticized from different points of view. A completely new approach was initiated by Bigoni & Noselli [129], in which the follower force was created by exploiting Coulomb friction on a freely rotating wheel, as sketched in figure 4a,b.…”

Section: Recent Progress On Flutter (A) the Quest For Follower Forcesmentioning

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 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: Recent Progress On Flutter (A) the Quest For Follower Forcesmentioning

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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“…As from the experimental observation perspectives, although Koiter has noted that the "unrealistic follower forces" can not be directly achieved and exerted on the pendulum end, Bigoni et al have developed a significant breakthrough of the experimental devices, i.e. a beam-wheel device capable of realizing the follower type loading (induced by the friction between the wheel and the sliding plate) [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Flutter instability characteristics and mechanisms of Ziegler double pendulum with arbitrary mass, stiffness and damping

Wang,

Fan,

Yang

et al. 2024

Preprint

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In this paper, the flutter instability characteristics and mechanisms of the weakly damped Ziegler double pendulum subjected to the follower type circular loading are investigated. The double pendulum is assumed to be with arbitrary masse, stiffness and damping. Different with the existed mathematical analysis methods, the pendulum flutter instability conditions and the corresponding critical parameters are theoretically deduced and evaluated based on an energy method with clear physical meanings. By introducing the ratio parameters of the structural mass, stiffness and damping coefficients, the complex influences of the structural mass, stiffness and damping are discussed in details. In addition to the counter-intuitive “damping Ziegler Paradox” influence, the stabilizing and destabilizing influences of the pendulum’s mass and stiffness are observed and investigated. To clarify these complex influences, the power flow characteristics on the pendulum flutter instability occurrence are investigated. The results indicate that the mass or stiffness related powers on each coordinate constitute the two “power exchange twins”, and can affect the related destabilizing or stabilizing influences of the pendulum mass and stiffness, while the “damping Ziegler Paradox” influence can be affected by the energy transmission efficiency between the stiffness related powers on each coordinate. Correspondingly the flutter instability physical mechanisms are clarified for the first time from the energy perspectives.

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On the role of different nonlinear damping forms in the dynamic behavior of the generalized Beck’s column

Migliaccio,

D’Annibale

2024

Nonlinear Dyn

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The influence of internal and external nonlinear damping forms on the dynamics of a generalized Beck’s column, namely a visco-elastic cantilever beam, subjected to conservative and non-conservative loads at its free end, is investigated. A variational principle provides the equations of motion of the system, which are properly recast into an integro-differential form. The linear stability analysis of the system is then carried out and bifurcation points are detected in the space of parameters associated with the conservative and non-conservative loads. Starting from Hopf’s bifurcation points, a post-critical analysis, based on the Method of Multiple Scales is directly performed on the continuous system, avoiding any a-priori discretization. This method provides the bifurcation equations whose analysis reveals the double nature of nonlinear damping, which can be beneficial or detrimental in terms of stable or unstable bifurcated equilibria. It is found that both the internal and external forms of nonlinear damping can turn a supercritical instability of the system into a subcritical one, thus revealing another destabilizing effect of damping, beyond the very well-known one occurring in the linear field. Numerical simulations, grounded on a Galerkin discretization of the original system, confirm the analytical findings.

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Flutter and divergence instability regions of a column subjected to the load realized by means of a jet engine with an additional guiding structure

Cited by 4 publications

References 28 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

Flutter instability characteristics and mechanisms of Ziegler double pendulum with arbitrary mass, stiffness and damping

On the role of different nonlinear damping forms in the dynamic behavior of the generalized Beck’s column

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