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Comparison of some single‐step methods for the numerical solution of the structural dynamic equation
Author(s) -
Penry S. N.,
Wood W. L.
Publication year - 1985
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.1620211102
Subject(s) - stability (learning theory) , dynamic equation , mathematics , forcing (mathematics) , two step , computer science , mathematical analysis , nonlinear system , physics , quantum mechanics , machine learning
This paper compares the performance of the SS22 and SS23 (References 1 and 2) single step algorithms for the numerical solution of the second‐order structural dynamic equation and a related new algorithm SS32B applied to the equivalent first‐order system, with sine and step forcing functions. Various aspects of stability relevant to these equations are discussed.