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Eigensolution for large structural systems with substructures
Author(s) -
Arora Jasbir S.,
Nguyen D. T.
Publication year - 1980
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.1620150303
Subject(s) - truss , mass matrix , finite element method , stiffness matrix , subspace topology , flexibility method , normal mode , matrix (chemical analysis) , mode (computer interface) , structural engineering , algorithm , substructure , computer science , mathematics , mathematical analysis , engineering , physics , vibration , acoustics , materials science , composite material , neutrino , nuclear physics , operating system
A method for calculating natural frequencies and mode shapes of large structural systems with substructures and the subspace iteration is developed. The method uses only substructural stiffness matrices and the mass matrix for each finite element of the system. The mass matrix for the entire structure or any of its substructures need not be computed. However, efficiency of the method is improved when mass matrix for the entire structure is computed and saved in the computer core. No approximating assumptions are made. Thus, natural frequencies and mode shapes for the finite element model employed are the same with or without the substructuring algorithm. This is demonstrated by computing first ten natural frequencies and the corresponding mode shapes for an open truss helicopter tail‐boom structure.