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Forced vibration and special effects of revolution shells in turning point range
Authors:Zhang Zhi-liang  Cheng Chang-jun
Institution:Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China;Department of Physics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China
Abstract: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.
Keywords:forced vibration  special effect  turning point range  revolution shell
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