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Iterative methods for non‐classically damped dynamic systems
Author(s) -
Udwadia Firdaus E.,
Kumar Ravi
Publication year - 1994
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290230203
Subject(s) - iterative method , convergence (economics) , variety (cybernetics) , modal , superposition principle , computer science , differential (mechanical device) , mathematical optimization , mathematics , algorithm , engineering , mathematical analysis , artificial intelligence , chemistry , aerospace engineering , polymer chemistry , economics , economic growth
Non‐classically damped structural systems do not easily lend themselves to the modal superposition method because these systems yield coupled second‐order differential equations. In this paper, a variety of new computationally efficient iterative methods for determining the response of such systems are developed. The iterative approaches presented here differ from those presented earlier in that they are computationally superior and/or are applicable to the determination of the responses of broader classes of structural systems. Numerical examples, which are designed to evaluate the efficacy of these schemes, show the vastly improved rates of convergence when compared to earlier iterative schemes.