PLATE FLUTTER PROBLEM WITH MIXED BOUNDARY CONDITIONS

A solution to the plate flutter problem with mixed boundary conditions is considered. The mathematical formulation of the problem allows taking into account arbitrary directions of the free-stream velocity. For the numerical solution of the problem, it is proposed to use a numerical algorithm withou...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2022-11, Vol.63 (5), p.869-875
Main Authors: Algazin, S. D., Selivanov, I. A.
Format: Article
Language:English
Subjects:
Algorithms
Aluminum
Applications of Mathematics
Boundary conditions
Classical and Continuum Physics
Classical Mechanics
Duralumin
Fluid- and Aerodynamics
Free flow
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Numerical analysis
Physics
Physics and Astronomy
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A solution to the plate flutter problem with mixed boundary conditions is considered. The mathematical formulation of the problem allows taking into account arbitrary directions of the free-stream velocity. For the numerical solution of the problem, it is proposed to use a numerical algorithm without saturation which allows obtaining the critical flutter speed with sufficient accuracy on a sparse grid. Calculations were performed for four materials: titanium, steel, aluminum, and Duralumin. Based on the calculation results, analytical dependences of the critical flutter speed on the direction of the free-stream velocity and on the dimensionless speed of sound in the plate and the plate thickness. The eigenmodes   corresponding to the critical flutter speed are given.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894422050169