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Numerical formulation for a higher order plane finite dynamic element
Author(s) -
Gupta K. K.
Publication year - 1984
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/nme.1620200805
Subject(s) - finite element method , node (physics) , mixed finite element method , extended finite element method , convergence (economics) , vibration , inertia , smoothed finite element method , stiffness , element (criminal law) , finite element limit analysis , plane (geometry) , stiffness matrix , structural engineering , mathematics , geometry , boundary knot method , engineering , physics , classical mechanics , boundary element method , quantum mechanics , political science , law , economics , economic growth
Abstract The paper describes the development of an eight‐node plane rectangular finite dynamic element and presents detailed descriptions of the associated numerical formulation involving the higher order dynamic correction terms pertaining to the related stiffness and inertia matrices. Numerical test results of free vibration analyses are presented in detail for the newly developed eight‐node element and also the corresponding four‐node element in order to make a clear comparison of the relative efficiencies of the corresponding finite element and dynamic element procedures. Such results indicate a superior pattern of solution convergence of the presently developed dynamic element.