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A simple explicit single step time integration algorithm for structural dynamics
Author(s) -
Kim Wooram
Publication year - 2019
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.6054
Subject(s) - newmark beta method , simple (philosophy) , nonlinear system , dissipation , algorithm , mathematics , dynamic problem , numerical integration , dynamic equation , computer science , mathematical optimization , control theory (sociology) , control (management) , mathematical analysis , philosophy , physics , epistemology , quantum mechanics , thermodynamics , artificial intelligence
Summary In this article, a new single‐step explicit time integration method is developed based on the Newmark approximations for the analysis of various dynamic problems. The newly proposed method is second‐order accurate and able to control numerical dissipation through the parameters of the Newmark approximations. Explicitness and order of accuracy of the proposed method are not affected in velocity‐dependent problems. Illustrative linear and nonlinear examples are used to verify performances of the proposed method.