Yu.V.Trotsenko Free vibrations of the cylindrical shell connecting two elastic beams |
Acoustic bulletin, Vol. 5 ¹ 2, (2002) |
| The transversal characteristic vibrations of two beams interconnected with elastic circular cylindrical shell are considered. The equations of vibration of the system and the boundary conditions are obtained on the basis of the principle of possible displacements. The approximate solution of the formulated spectral task is offered on the basis of its equivalent variational formulation. The algorithm of exact solution of the initial problem for the case, when the shell is replaced with an equivalent section of the beam, is given. The influence of initial parameters of system on its frequencies and forms of vibration are studied both for exact, and simplified statement of the problem. |
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KEY WORDS: cylindrical shell, elastic beam, the spectral problem, variational problem, natural frequencies |
| TEXT LANGUAGE: Russian |