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A dynamic condensation method using algebraic substructuring
Author(s) -
Boo SeungHwan,
Lee PhillSeung
Publication year - 2016
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.5349
Subject(s) - block matrix , algebraic number , algebraic equation , matrix (chemical analysis) , boundary (topology) , transformation (genetics) , interface (matter) , condensation , mass matrix , mathematics , stiffness , transformation matrix , computer science , algorithm , mathematical analysis , kinematics , structural engineering , engineering , parallel computing , materials science , physics , eigenvalues and eigenvectors , chemistry , thermodynamics , bubble , classical mechanics , quantum mechanics , maximum bubble pressure method , composite material , biochemistry , nuclear physics , nonlinear system , neutrino , gene
Summary In this paper, we develop a robust reduced‐order modeling method, named algebraic dynamic condensation, which is based on the improved reduced system method. Using algebraic substructuring, the global mass and stiffness matrices are divided into many small submatrices without considering the physical domain, and substructures and interface boundary are defined in the algebraic perspective. The reduced model is then constructed using three additional procedures: substructural stiffness condensation, interface boundary reduction, and substructural inertial effect condensation. The formulation of the reduced model is simply expressed at a submatrix level without using a transformation matrix that induces huge computational cost. Through various numerical examples, the performance of the proposed method is demonstrated in terms of accuracy and computational cost. Copyright © 2016 John Wiley & Sons, Ltd.