The Solution of Nonlinear Time-Dependent Problems Usng Modal Coordinates

The Solution of Nonlinear Time-Dependent Problems Usng Modal Coordinates

An algorithm for the solution of a class of nonlinear time-dependent problems using reduced modal coordinates is proposed and implemented. Example problems in one space dimension are modeled, and comparisons made to exact solutions. The results of these examples are used to make suggestions for furt...

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Bibliographische Detailangaben
Hauptverfasser: Mish,Kyran D, Romstad,Darl M, Herrmann,Leonard R
Format: Report
Sprache:eng
Schlagworte:
ALGORITHMS
COORDINATES
EIGENVECTORS
FINITE ELEMENT ANALYSIS
NONLINEAR ANALYSIS
PE61153N
PROBLEM SOLVING
REDUCTION
Theoretical Mathematics
TIME DEPENDENCE
WU008
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Beschreibung
Zusammenfassung:An algorithm for the solution of a class of nonlinear time-dependent problems using reduced modal coordinates is proposed and implemented. Example problems in one space dimension are modeled, and comparisons made to exact solutions. The results of these examples are used to make suggestions for further research. Keywords: nonlinear finite element analysis; eigenvectors; Ritz vectors; Lanczos vectors, and modal analysis.