FLEXURAL WAVE PROPAGATION IN NARROW MINDLIN＇S PLATE

Appling Mindlin＇s theory of thick plates and Hamilton system to propagation of elastic waves under free boundary condition, a solution of the problem was given. Dispersion equations of propagation mode of strip plates were deduced from eigenfunction expansion method. It was compared with the dispers...

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Bibliographic Details
Published in	Applied mathematics and mechanics Vol. 27; no. 6; pp. 793 - 801
Main Author	胡超韩刚房学谦黄文虎
Format	Journal Article
Language	English
Published	2006
Subjects	Hamilton公式延长波弯曲波波传播色散关系行波控制
Online Access	Get full text
ISSN	0253-4827 1573-2754

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Summary:	Appling Mindlin＇s theory of thick plates and Hamilton system to propagation of elastic waves under free boundary condition, a solution of the problem was given. Dispersion equations of propagation mode of strip plates were deduced from eigenfunction expansion method. It was compared with the dispersion relation that was gained through solution of thick plate theory proposed by Mindlin. Based on the two kinds of theories, the dispersion curves show great difference in the region of short waves, and the cutoff frequencies are higher in Hamiltonian systems. However, the dispersion curves are almost the same in the region of long waves.
Bibliography:	dispersion relation wave propagation Mindlin＇s plate control of traveling wave 31-1650/O1 extended wave and localized vibration Mindlin＇s plate; wave propagation; Hamilton formulism; dispersion relation; control of traveling wave; extended wave and localized vibration Hamilton formulism O327
ISSN:	0253-4827 1573-2754