Title

Effect of Longitudinal Resonance on the Parametric Stability of an Axially Excited Cylindrical Shell

Abstract

The parametric stability of a cylindrical shell under pulsating axial load is studied wherein the internal axial stress resultant is computed on a dynamic basis with the shell acting as a longitudinal rod. A normal-mode expansion yields a system of ordinary differential equations with periodic coefficients, the stability of which is then examined. The effect of longitudinal inertia is found to increase the width of the -œMathieu-instability- regions, especially for those modes near the frequencies of longitudinal resonance. Combination resonances between the various transverse and axial-circumferential vibration modes of the shell are also found. These new features result from the inclusion of longitudinal vibration effects in the computation of the internal axial stress and are not present when N(x, t) is computed on a quasistatic basis.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Ordinary Differential Equations; Vibration Resonance

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1974 Acoustical Society of America (ASA), All rights reserved.

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