Vibration of a cylindrical membrane shell subjected to a steady rotational load
| Autor: | Arthur I. Koral, Mauro Pierucci |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Wavefront
Partial differential equation Acoustics and Ultrasonics Point source Shell (structure) Dirac delta function Mechanics Spectral line Vibration symbols.namesake Classical mechanics Arts and Humanities (miscellaneous) Ordinary differential equation Physics::Atomic and Molecular Clusters symbols Mathematics |
| Zdroj: | The Journal of the Acoustical Society of America. 112:2217-2217 |
| ISSN: | 0001-4966 |
| DOI: | 10.1121/1.4778754 |
| Popis: | The vibration of a cylindrical membrane shell is driven by a point source moving along its circumferential direction. The point source is modeled by a Dirac delta function. The shell vibration is governed by the membrane equations. No variation is assumed to take place along the shell axial direction. The coupled partial differential equations for the radial and the tangential displacements w(theta,t) and v(theta,t) are decoupled by decomposition and two sets of coupled ordinary differential equations for the time varying magnitudes of the shell circumferential modes are obtained. The force starts its motion at t=0 and continues at a constant rate omega. The spectrum of the shell vibration, as expected, shows frequencies that are multiples of the rotating forcing frequency, multiples of the propagating wave front frequency as well as other components. For large times these spectra yield vibrations resembling those of broadband noise. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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