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Flexural Vibrations of Finite Cylindrical Shells of Various Wall Thicknesses - II

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In this paper, the frequency-aspect ratio curves have been obtained for the flexural vibrations of finite, isotropic, cylindrical shells of different wall thicknesses having antisymmetric motion about their central plane. A solid cylinder is considered as a particular case of the shell. Stress free boundary conditions on the lateral surfaces of the shells have been satisfied exactly and the real, imaginary and complex branches of the dispersion spectra have been superimposed to satisfy stress-free conditions at the flat ends of the shells to a good degree of accuracy. The residual stresses and the displacements at the flat ends of the shells have been given for some random cases.

Zusammenfassung

In der vorliegenden Arbeit werden für die Biegeschwingungen endlicher, isotroper, zylindrischer Schalen verschiedener Wanddicke mit bezüglich der Mittelebene antisymmetrischer Bewegung die Verläufe der Streckungsverhältnisse in Abhängigkeit von der Frequenz ermittelt. Vollzylinder wei den als Spezialfall der Schale betrachtet. Für die Seitenflächen der Schalen werden die Randbedingungen der Spannungsfreiheit exakt befriedigt, für die flachen Enden der Schale mit guter Genauigkeit durch Überlagerung der reellen, imaginären und komplexen Äste der Dispersionsspektren. Für einige beliebige Fälle werden die an den flachen Enden der Schalen verbleibenden Spannungen und Auslenkungen angeben.

Sommaire

On a calc ulé les courbes de fréquence pour les vibrations de flexion des coques cylindriques isotropes de longueurs finies et de diverses épaisseurs. On a conidérée des mouvements antisym- métriques par rapport au plan central de ces coques. On a d'abord satisfait aux conditions aux limites exprimant l'absence de contraintes sur les surfaces latérales. Puis on a cherché à imposer la même sorte de conditions aux sections planes délimitant les extrémités des coques en agissant sur les spectres de dispersion, ce qui a été possible avec une bonne précision. Enfin on a calculé les contraintes résiduelles et les déplacements aux extrémités dans quelques cas particuliers choisis au hasard.
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Document Type: Research Article

Publication date: 1980-11-01

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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