Free vibration of a point-supported circular cylindrical shell
An analysis is presented for the free vibration of an elastically or rigidly point-supported circular cylindrical shell. For this purpose, the deflection displacements of the shell are written in a series of the deflection functions of beam. The dynamical energies of the shell are evaluated, and the...
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| Veröffentlicht in: | The Journal of the Acoustical Society of America 1984-04, Vol.75 (4), p.1118-1123 |
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| container_end_page | 1123 |
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| container_issue | 4 |
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| container_title | The Journal of the Acoustical Society of America |
| container_volume | 75 |
| creator | IRIE, T YAMADA, G KUDOH, Y |
| description | An analysis is presented for the free vibration of an elastically or rigidly point-supported circular cylindrical shell. For this purpose, the deflection displacements of the shell are written in a series of the deflection functions of beam. The dynamical energies of the shell are evaluated, and the frequency equation is derived by the Ritz method. For a rigidly point-supported shell, the Lagrangian multiplier method is conveniently employed. The method is applied to a cylindrical shell supported at symmetrically located four points; the natural frequencies and the mode shapes are calculated numerically, and the effects of the point supports on the vibration are studied. |
| doi_str_mv | 10.1121/1.390759 |
| format | Article |
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| identifier | ISSN: 0001-4966 |
| ispartof | The Journal of the Acoustical Society of America, 1984-04, Vol.75 (4), p.1118-1123 |
| issn | 0001-4966 1520-8524 |
| language | eng |
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| source | AIP Acoustical Society of America |
| subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | Free vibration of a point-supported circular cylindrical shell |
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