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Dynamic analysis of structures using the rank force method
Author(s) -
Robinson John,
Petyt Maurice
Publication year - 1971
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.1620030112
Subject(s) - flexibility method , finite element method , rank (graph theory) , mass matrix , displacement (psychology) , dynamic loading , matrix (chemical analysis) , vibration , flexibility (engineering) , structural engineering , inverse , damping matrix , force dynamics , mathematics , computer science , engineering , stiffness matrix , physics , geometry , materials science , mechanical engineering , combinatorics , quantum mechanics , neutrino , nuclear physics , composite material , psychotherapist , psychology , statistics
The application of the finite element rank force method for the dynamic analysis of redundant structures is presented. The applied loading consists of discrete and distributed loads. Both forced and free vibrations are considered, the latter yielding latent vectors corresponding to dynamic redundancies. It is shown that the dynamic properties of an element are given by a static flexibility matrix, an inverse mass matrix, a damping parameter and a displacement vector representing the effect of the applied distributed loading.