Application of Asymptotic and Numerical Methods to Determine Stability Boundaries of Distributed Systems in a Flow

The reasons and the set of parameters leading to aeroelastic flutter vibrations in distributed systems (DS) are investigated on the basis of asymptotic and numerical methods. The instability is caused by the combined influence of three factors: the drift of perturbations along the DS in the flow, be...

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Bibliographic Details
Published in:Cybernetics and systems analysis 2022-03, Vol.58 (2), p.233-241
Main Authors: Kaliukh, I., Lebid, O.
Format: Article
Language:English
Subjects:
Air-turbines
Artificial Intelligence
Asymptotic methods
Asymptotic properties
Bending
Computer networks
Control
Flow stability
Flutter
Flux density
Frequency ranges
Inclination angle
Mathematics
Mathematics and Statistics
Methods
Numerical analysis
Numerical methods
Perturbation
Processor Architectures
Software Engineering/Programming and Operating Systems
Stability analysis
Stiffness
Stress concentration
Systems Theory
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Summary:The reasons and the set of parameters leading to aeroelastic flutter vibrations in distributed systems (DS) are investigated on the basis of asymptotic and numerical methods. The instability is caused by the combined influence of three factors: the drift of perturbations along the DS in the flow, bending stiffness, and the influence of the inertial force, which is a distributed load moving along the DS. An increase in the tensile force and bending stiffness of the DS shifts the instability to a higher-frequency range of vibrations. An increase in the relative flux density and the relative length of the DS expands the region of instability. The presence of the angle of inclination of the DS to the flow adds peculiarities to the balance of forces acting on the DS and to the formation of the boundary ofstability and instability of regions. However, it is not possible to correctly assess its influence within the framework of the considered model and a more detailed further consideration is required. The configuration of the DS in the unstable region indicates the concentration of stresses near its upper end. The results obtained for small angles of inclination of the DS to the flow are consistent with the available results obtained by other authors.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-022-00455-0