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Refined triangular discrete Kirchhoff plate element for thin plate bending, vibration and buckling analysis
Author(s) -
Wanji Chen,
Cheung Y. K.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980430)41:8<1507::aid-nme351>3.0.co;2-t
Subject(s) - buckling , bending of plates , mass matrix , bending , vibration , stiffness matrix , displacement (psychology) , structural engineering , bending stiffness , matrix (chemical analysis) , constant (computer programming) , plate theory , finite element method , pure bending , mathematical analysis , mathematics , engineering , physics , materials science , computer science , acoustics , composite material , psychology , neutrino , nuclear physics , psychotherapist , programming language
A refined triangular discrete Kirchhoff thin plate bending element RDKT which can be used to improve the original triangular discrete Kirchhoff thin plate bending element DKT is presented. In order to improve the accuracy of the analysis a simple explicit expression of a refined constant strain matrix with an adjustable constant can be introduced into its formulation. The new element displacement function can be used to formulate a mass matrix called combined mass matrix for calculation of the natural frequency and in the same way a combined geometric stiffness matrix can be obtained for buckling analysis. Numerical examples are presented to show that the present methods indeed, can improve the accuracy of thin plate bending, vibration and buckling analysis. © 1998 John Wiley & Sons, Ltd.