Forced vibration and special effects of revolution shells in turning point range
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The forced vibration in the turning point frequency range of a truncated revolution shell subject to a membrane drive or a bending drive at its small end or large end is studied by applying the uniformly valid solutions obtained in a previous paper. The vibration shows a strong coupling between the membrane and bending solutions: either the membrane drive or the bending drive causes motions of both the membrane type and bending type. Three interesting effects characteristic of the forced vibration emerge from the coupling nature: the non-bending effect, the inner-quiescent effect and the inner-membrane-motion-and-outer-bending-motion effect. These effects may have potential applications in engineering.
Key wordsforced vibration special effect turning point range revolution shell
Chinese Library ClassificationO326
2000 Mathematics Subject Classification74K25 70J35
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- Ross E W Jr. Transition solutions for axisymmetric shell vibrations[J]. Journal of Mathematical Physics, 1966, 54(4):335–355.Google Scholar
- Gol’denveizer A L, Lidskiy V B, Tovstic P E. Free vibration of thin elastic shells[M]. Moscow: Nauka, 1979 (in Russian).Google Scholar
- Zhang Z L, Cheng C J. Turning point solutions for axisymmetric shell vibrations[J]. Acta Mechanica Solida Sinica, 2006, 27(2):135–140 (in Chinese).Google Scholar
- Zhang Z L, Cheng C J. Analytical solutions for axisymmetric vibration of loudspeaker cone in transitional range[J]. Available online 22 September, 2006. Http://www.sciencedirect.com .Google Scholar
- Frankort F J M. Vibration and sound radiation of loudspeaker cones[M]. Eindhoven: N. V. Philips’ Gloeilampenfabrieken, 1975.Google Scholar
- Zhang Z L, Cheng C J. Vibrations of loudspeaker cones in transitional range[J]. Journal of the Audio Engineering Society, 2006, 54(7/8):598–603.Google Scholar