Stability of Axially Moving Plates

Баничук, Н. В.; Barsuk, Alexander; Jeronen, Juha; Tuovinen, Tero; Neittaanmäki, Pekka

doi:10.1007/978-3-030-23803-2_6

Cited by 3 publications

(4 citation statements)

References 42 publications

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“…The recently published book by Banichuk et al. [61] is devoted to the stability analysis of initially straight and axially moving structures [62] such as strings, beams, plates or membranes. The structures are studied in terms of modal analysis, transverse vibrations, or stability and buckling, with application for instance to paper production.…”

Section: Flutter In Engineering Systemsmentioning

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: Flutter In Engineering Systemsmentioning

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 expressions (10) and (11) reduce to a classical one-or three-term single-parameter added-mass model by choosing r v = 0 (i.e., v ∞ = 0, no free-stream flow in laboratory coordinates) or r v = 1 (i.e., v ∞ = V 0 , the whole air mass moves with the panel).…”

Section: Basic Relations and Aerothermoelastic Modelmentioning

confidence: 99%

“…Using (10) and (11), the governing equation for dynamical behavior can be written in non-dimensional form as 1…”

Section: Non-dimensional Initial Boundary Value Problemmentioning

confidence: 99%

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Added-Mass Based Efficient Fluid–Structure Interaction Model for Dynamics of Axially Moving Panels with Thermal Expansion

Баничук

Ivanova

Макеев

et al. 2020

MCA

Self Cite

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The paper considers the analysis of a traveling panel, submerged in axially flowing fluid. In order to accurately model the dynamics and stability of a lightweight moving material, the interaction between the material and the surrounding air must be taken into account. The lightweight material leads to the inertial contribution of the surrounding air to the acceleration of the panel becoming significant. This formulation is novel and the case complements our previous studies on the field. The approach described in this paper allows for an efficient semi-analytical solution, where the reaction pressure of the fluid flow is analytically represented by an added-mass model in terms of the panel displacement. Then, the panel displacement, accounting also for the fluid–structure interaction, is analyzed with the help of the weak form of the governing partial differential equation, using a Galerkin method. In the first part of this paper, we represent the traveling panel by a single partial differential equation in weak form, using an added-mass approximation of the exact fluid reaction. In the second part, we apply a Galerkin method for dynamic stability analysis of the panel, and present an analytical investigation of static stability loss (divergence, buckling) based on the added-mass model.

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Spectral Analysis of Translation-Invariant Mechanical Systems with Application to Structural Vibrations and Stability

Баничук

Barsuk

Ivanova

et al. 2021

International Journal of Mechanics

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The paper considers the problems and the methods of spectral analysis of elastic structural systems. The presented consideration focuses on the translation-invariant spectral formulations. Some periodic representations and the spectral decomposition are derived. In the context of general analysis of translation-invariant systems, the particular problems of structural vibration and stability are solved in analytical form.

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Stability of Axially Moving Plates

Cited by 3 publications

References 42 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

Added-Mass Based Efficient Fluid–Structure Interaction Model for Dynamics of Axially Moving Panels with Thermal Expansion

Spectral Analysis of Translation-Invariant Mechanical Systems with Application to Structural Vibrations and Stability

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