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A family of noniterative integration methods with desired numerical dissipation
Author(s) -
Chang ShuennYih
Publication year - 2014
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.4720
Subject(s) - spurious relationship , dissipation , nonlinear system , acceleration , numerical integration , mathematics , direct integration of a beam , numerical analysis , constant (computer programming) , computer science , control theory (sociology) , mathematical analysis , physics , classical mechanics , engineering , structural engineering , control (management) , quantum mechanics , machine learning , artificial intelligence , thermodynamics , programming language
A new family of unconditionally stable integration methods for structural dynamics has been developed, which possesses the favorable numerical dissipation properties that can be continuously controlled. In particular, it can have zero damping. This numerical damping is helpful to suppress or even eliminate the spurious participation of high frequency modes, whereas the low frequency modes are almost unaffected. The most important improvement of this family method is that it involves no nonlinear iterations for each time step, and thus it is very computationally efficient when compared with a general second‐order accurate integration method, such as the constant average acceleration method. Copyright © 2014 John Wiley & Sons, Ltd.