Effect of Longitudinal Resonance on the Parametric Stability of an Axially Excited Cylindrical Shell
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.
L. R. Koval, "Effect of Longitudinal Resonance on the Parametric Stability of an Axially Excited Cylindrical Shell," The Journal of the Acoustical Society of America, Acoustical Society of America (ASA), Jan 1974.
The definitive version is available at https://doi.org/10.1121/1.1928136
Mechanical and Aerospace Engineering
Keywords and Phrases
Ordinary Differential Equations; Vibration Resonance
Article - Journal
© 1974 Acoustical Society of America (ASA), All rights reserved.