Sympletic eigen-solution for clamped Mindlin plate bending problem

Hamiltonian system for the problem on clamped Mindlin plate bending was established by introducing the dual variables for the generalized displacements in this letter. By separation of variables, the transverse eigen-problem was derived based on the sympletic geometry method. With the solved symplet...

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Bibliographic Details
Published inJournal of Shanghai University Vol. 12; no. 5; pp. 377 - 382
Main Author 马晨明
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University Press 01.10.2008
Subjects
Classical Mechanics
Engineering
Environment
Letter
Life Sciences
Materials Science
Mathematical and Computational Engineering
Mechatronics
固支Mindlin板弯曲问题
汉密尔顿系统
解题方法
辛本征解
Hamiltonian system
plate bending
74G10
Mindlin plate
sympletic eigen-solution
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Summary:Hamiltonian system for the problem on clamped Mindlin plate bending was established by introducing the dual variables for the generalized displacements in this letter. By separation of variables, the transverse eigen-problem was derived based on the sympletic geometry method. With the solved sympletic eigen-values, the generalized sympletic eigen-solution was derived through eigenfunction expansion. An example of plate with all edges clamped was given. The sympletic solution system was worked out directly from the Hamiltonian system. It breaks the limitation of traditional analytic methods which need to select basis functions in advance. The results indicate that the sympletic solution method could find its more extensive applications.
Bibliography:Mindlin plate, plate bending, Hamiltonian system, sympletic eigen-solution
31-1735/N
O411.1
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-6417
1863-236X
DOI:10.1007/s11741-008-0501-3