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

Code:
50/2020
Title:
The TR-BDF2 method for second order problems in structural mechanics
Date:
Thursday 23rd July 2020
Author(s):
Bonaventura,L.; Gomez Marmol, M.
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Abstract:
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 experimentson relevant benchmarks show that the TR-BDF2 method is superiorin terms of accuracy and eciency to the classical Newmark method and to its generalizations.