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Development of a solid hexahedron 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.1620201115
Subject(s) - hexahedron , finite element method , convergence (economics) , stiffness , inertia , dynamic problem , extended finite element method , mixed finite element method , mathematics , structural engineering , computer science , mathematical optimization , engineering , physics , classical mechanics , economics , economic growth
Abstract This paper presents the pertinent details of a newly developed solid rectangular hexahedron finite dynamic element, involving the derivation of the higher order stiffness and inertia dynamic correction matrices. Numerical results of a test case are also presented which indicate that adoption of the dynamic elements significantly improves the solution convergence, when compared with the related performance of the corresponding finite elements.