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Some aspects of flutter of cylindrical panels

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Sommario

Proseguendo una ricerca già iniziata si approfondiscono alcuni aspetti del flutter dei pannelli a debole curvatura. Per questo è stato messo a punto un nuovo sistema di presentazione visiva dei risultati che ha reso più agevole e profiquo lo studio condotto con il calcolatore analogico; inoltre si è migliorato il circuito di calcolo ottenendo la possibilità di variare in modo continuo, durante il calcolo, oltre che il parametro di flutter, anche il carico di compressione.

Summary

Pursuing a previous study, the investigation of some aspects of the flutter of weakly curved panels is taken a stage further. A new system of visual presentation of the results evolved for this makes the analog computer study easier and more rewarding. Further, an improvement in the calculating circuit permits continuous variation both of the flutter parameter and of the compression load during calculation.

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Abbreviations

σ :

mean panel surface

x 1,x 2 :

surface coordinates of the panel

z :

coordinate normal toσ

a, b :

panel dimensions

b :

panel thickness

r :

ratio between the sides of the panel

1/ϱ :

nondimensional curvature of the panel

w :

displacement component normal toσ

0w :

form imperfections

q1:

amplitude of the first mode

q2:

amplitude of the second mode

Φ :

aerodynamic pressure

q :

dynamic pressure

μ :

flutter parameter

ϱ :

density of the air striking the panel

ν :

Poisson coefficient

0p 11 :

force per unit length acting on the directrices

E :

modulus of elasticity

D :

flexural rigidity of the panel

Δ :

Laplace operator

p :

difference in static pressure between the panel faces

References

  1. L. Salvioni,Studio preliminare del flutter di pannelli cilindrici a debole curvatura, Rendiconti Ist. Lombardo, 1969.

  2. V. Giavotto,Sulla meccanica di pannelli di structure aerospaziali, Memorie dell'Ist. Lombardo, Vol. XXV, 1966.

  3. H. Ashley andG. Zartarian,Piston theory. A new tool for aeroelastician, Journal of the Aeronautical Sciences, Vol. 23, 1956.

  4. L. V. Kantorovich andV. I. Krylov,Approximate Methods of higher analysis, Interscience Publishers, 1958.

  5. S. P. Timoshenko,Theory of elastic stability, McGraw Hill, 1961.

  6. S. Dixon andH. Bohon,Some recent development in flutter of panels, Journal of aircraft, Vol. 1, 1964.

  7. R. Fralich,Postbuckling effects on the flutter of simply supported rectangular panels at supersonic speeds, NASA TN D-1615, 1963.

  8. S. Dixon,Experimental investigation at Mach number 3.0of effects of thermal stress and buckling on flutter characteristics of flat single-bay panels of length-width ratio 0.96, NASA TN D-1485, 1962.

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Authors and Affiliations

  1. Istituto di Ingegneria Aerospaziale, Politecnico di Milano, Italy

    Luigi Salvioni

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  1. Luigi Salvioni
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Salvioni, L. Some aspects of flutter of cylindrical panels. Meccanica 6, 139–146 (1971). https://doi.org/10.1007/BF02128329

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  • DOI: https://doi.org/10.1007/BF02128329

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