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Improved eigenfrequencies of mechanical systems by combining complementary models
Author(s) -
Moitinho de Almeida J. P.,
Maunder E. A. W.
Publication year - 2018
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.5787
Subject(s) - eigenvalues and eigenvectors , mathematics , mechanical system , dual (grammatical number) , numerical models , numerical analysis , mathematical optimization , computer science , mathematical analysis , physics , artificial intelligence , art , literature , quantum mechanics
Summary In this paper, we propose a novel approach to combine two complementary numerical models of the dynamical behaviour of mechanical systems: primal (compatible) and dual (equilibrated). This combined model provides an improved estimate of the eigenfrequencies of the system by feeding each model with information from the other. Numerical solutions obtained from both the fundamental models and from the proposed approach are presented and studied. This approach will be applicable to any eigenvalue problem associated with a PDE that can be expressed by complementary numerical models.