A simple explicit single step time integration algorithm for structural dynamics

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 Newmar...

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Vydáno v:International journal for numerical methods in engineering Ročník 119; číslo 5; s. 383 - 403
Hlavní autor: Kim, Wooram
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bognor Regis Wiley Subscription Services, Inc 03.08.2019
Témata:
Algorithms
controllable numerical dissipation
explicit time integration method
impact and wave propagation
linear and nonlinear structural dynamics
Numerical dissipation
pendulums
Stability
Time integration
ISSN:0029-5981, 1097-0207
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Shrnutí: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.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.6054