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Superelement method for transient dynamic analysis of structural systems
Author(s) -
Belyi M. V.
Publication year - 1993
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.1620361308
Subject(s) - substructure , superelement , transient (computer programming) , generalization , boundary (topology) , mathematics , computer science , finite element method , structural engineering , engineering , mathematical analysis , boundary element method , boundary knot method , operating system
A superelement algorithm for the transient dynamic analysis of structural systems is presented. The method represents a generalization of existing static and dynamic superelement (substructure) algorithms. Natural frequencies and modal shapes of a fixed boundary substructure are used to obtain equations of motion of a superelement. An implicit time‐stepping algorithm is presented for the numerical solution of a resulting superelement system of equations of motion. Numerical examples are given to illustrate the presented approach. The method is believed to be effective for large‐scale problems of structural analysis.