Improved Explicit Integration Algorithms for Structural Dynamic Analysis with Unconditional Stability and Controllable Numerical Dissipation

A computationally efficient one-parameter family of explicit (i.e., non iterative for nonlinear systems) direct integration algorithms featuring second-order accuracy, unconditional stability for linear systems, and controllable numerical dissipation is developed for solving inertial problems. Uncon...

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Bibliographic Details
Published in:Journal of earthquake engineering : JEE Vol. 23; no. 5; pp. 771 - 792
Main Authors: Kolay, Chinmoy, Ricles, James M.
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 28.05.2019
Taylor & Francis Ltd
Subjects:
Algorithms
Control stability
Direct Integration Algorithm
Dynamic Analysis
Dynamic stability
Explicit
Improved Overshoot
Integration
Iterative methods
Linear systems
Mathematical models
Nonlinear systems
Numerical Damping
Numerical dissipation
Parameters
Stability analysis
Unconditional Stability
ISSN:1363-2469, 1559-808X
Online Access:Get full text
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Summary:A computationally efficient one-parameter family of explicit (i.e., non iterative for nonlinear systems) direct integration algorithms featuring second-order accuracy, unconditional stability for linear systems, and controllable numerical dissipation is developed for solving inertial problems. Unconditional stability is attained within an explicit formulation using the concept of model-based algorithms in which the algorithmic parameters are functions of the model matrices. The proposed method improves the overshoot and nonlinear stability characteristics of the KR- method, an existing explicit-model-based algorithm. Numerical characteristics of the proposed method are compared with those of the KR- method and further demonstrated through representative numerical examples.
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ISSN:1363-2469
1559-808X
DOI:10.1080/13632469.2017.1326423