Development of an explicit time integration algorithm based on optimal integration parameter updating

Integration algorithm is an important mean to solve the discrete time equations of structural dynamics in earthquake engineering. In this paper, a new model‐based explicit integration algorithm, featured by optimization‐based integration parameter updating, is developed for a more accurate and effic...

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Bibliographic Details
Published in:Earthquake engineering & structural dynamics 2023-12, Vol.52 (15), p.5117-5140
Main Authors: Fu, Zhao‐Yang, Li, Hong‐Nan, Li, Chao
Format: Article
Language:English
Subjects:
Algorithms
Controllability
Earthquake engineering
Earthquakes
Integration
Matrix methods
Optimization
Parameters
Seismic activity
Seismic engineering
Structural dynamics
Time integration
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Summary:Integration algorithm is an important mean to solve the discrete time equations of structural dynamics in earthquake engineering. In this paper, a new model‐based explicit integration algorithm, featured by optimization‐based integration parameter updating, is developed for a more accurate and efficient solution of structural dynamic problems. The new integration algorithm is designed to yield minimum error and controllable numerical dispersion under the premise of stability by defining objective functions and constraints. Numerical properties of the new integration algorithm are investigated in details using the amplification matrix method for a linear elastic single degree‐of‐freedom system. Meanwhile, representative numerical examples and complex structure examples are analyzed and compared with other representative algorithms. As a result, the proposed algorithm yields comparable numerical characteristics with other methods, but exhibits pronounced superiority in controllable algorithmic dissipation, higher precision, and better efficiency. Therefore, the new integration algorithm possesses extensive application prospect in solving complicated linear and nonlinear structural dynamic problems.
ISSN:0098-8847
1096-9845
DOI:10.1002/eqe.4002