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

被引:0
作者
Zhi-Liang, Zhang
Chang-Jun, Cheng [1 ]
机构
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Shanghai Univ, Dept Mech, Shanghai 200444, Peoples R China
[3] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China
关键词
forced vibration; special effect; turning point range; revolution shell;
D O I
10.1007/s10483-007-0703-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:861 / 872
页数:12
相关论文
共 10 条
[1]  
FRANKORT FJM, 1975, VIBRATION SOUND RAID
[2]  
GOLDENVEIZER AL, 1979, FREE VIBRATION THIN
[3]   AXISYMMETRIC VIBRATION OF CONICAL SHELLS [J].
HARTUNG, RF ;
LODEN, WA .
JOURNAL OF SPACECRAFT AND ROCKETS, 1970, 7 (10) :1153-&
[4]   EFFECT OF BENDING ON VIBRATIONS OF SPHERICAL SHELLS [J].
KALNINS, A .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1964, 36 (01) :74-&
[5]   TRANSITION SOLUTIONS FOR AXISYMMETRIC SHELL VIBRATIONS [J].
ROSS, EW .
JOURNAL OF MATHEMATICS AND PHYSICS, 1966, 45 (04) :335-&
[6]   TURNING POINT SOLUTIONS FOR THIN SHELL VIBRATIONS [J].
ZHANG, RJ ;
ZHANG, W .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1991, 27 (10) :1311-1326
[7]  
Zhang ZL, 2006, J AUDIO ENG SOC, V54, P589
[8]   Natural frequencies and mode shapes for axisymmetric vibrations of shells in turning-point range [J].
Zhang, Zhi-Liang ;
Cheng, Chang-Jun .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (18-19) :5525-5540
[9]  
[张志良 Zhang Zhiliang], 2006, [固体力学学报, Acta Mechanica Solida Sinica], V27, P135
[10]  
ZHANG ZL, 2006, ANAL SOLUTIONS AXISY