Forced vibration and special effects of revolution shells in turning point range

• Published in: Applied mathematics and mechanics Vol. 28; no. 7; pp. 861 - 872
• Main Authors: Zhang, Zhi-liang, Cheng, Chang-jun
• Format: Journal Article
• Language: English
• Published: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China 01.07.2007; Department of Physics, Zhejiang Normal University, Jinhua 321004,Zhejiang Province, P. R. China%Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China; Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China
• Subjects: Bend strength; Forced vibration; Joining; Mathematical analysis; Membranes; Shells; Turning; Vibration; revolution shell; forced vibration; special effect; turning point range
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-007-0703-x

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.