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Finite dynamic element formulation for a plane triangular element
Author(s) -
Gupta K. K.
Publication year - 1979
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.1620141002
Subject(s) - finite element method , fortran , stiffness matrix , mixed finite element method , plane stress , vibration , extended finite element method , solver , quadratic equation , matrix (chemical analysis) , direct stiffness method , mathematics , inertia , plane (geometry) , structural engineering , geometry , computer science , engineering , mathematical optimization , physics , classical mechanics , materials science , composite material , operating system , quantum mechanics
Abstract The higher order dynamic correction terms for the stiffness and inertia matrices associated with a triangular plane stress‐strain finite dynamic element are developed in detail. Numerical results presented indicate that the adoption of these matrices along with a suitable quadratic matrix eigenproblem solver effects a significant economy in the free vibration solution of structures when compared with the analysis based on the usual finite element procedure. A FORTRAN IV computer program listing of the various relevant element matrices is also presented in the Appendix.