The TR-BDF2 method for second order problems in structural mechanics

The application of the TR-BDF2 method to second order problems typical of structural mechanics and seismic engineering is discussed. A reformulation of this method is presented, that only requires the solution of algebraic systems of size equal to the number of displacement degrees of freedom. A lin...

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Bibliographic Details
Published in:arXiv.org 2020-07
Main Authors: Bonaventura, L, M Gomez Marmol
Format: Article
Language:English
Subjects:
Linear analysis
Mechanics (physics)
Seismic engineering
Online Access:Get full text
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Summary:The application of the TR-BDF2 method to second order problems typical of structural mechanics and seismic engineering is discussed. A reformulation of this method is presented, that only requires the solution of algebraic systems of size equal to the number of displacement degrees of freedom. A linear analysis and numerical experiments on relevant benchmarks show that the TR-BDF2 method is superior in terms of accuracy and efficiency to the classical Newmark method and to its generalizations.
ISSN:2331-8422