Performance of composite implicit time integration scheme for nonlinear dynamic analysis
type: Item
instance of: scholarly article
title: Performance of composite implicit time integration scheme for nonlinear dynamic analysis
zbMATH Open document ID: 1163.74050
DOI: 10.1155/2008/815029
author: William Taylor Matias Silva
author: Luciano Mendes Bezerra
published in: Mathematical Problems in Engineering
publication date: 2009-06-11T00:00:00Z
full work available at URL: https://eudml.org/doc/55555
review text: Summary: This paper presents a simple implicit time integration scheme for transient response solution of structures under large deformations and long-time durations. The authors focus on a practical method using implicit time integration scheme applied to structural dynamic analyses in which the widely used Newmark time integration procedure is unstable, and not energy-momentum conserving. In this integration scheme, the time step is divided in two substeps. For too large time steps, the method is stable but shows excessive numerical dissipation. The influence of different substep sizes on the numerical dissipation of the method is studied throughout three practical examples. The method shows good performance and may be considered good for nonlinear transient response of structures.
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 74H15
zbMATH DE Number: 5564162
zbMATH Keywords: small time steps
zbMATH Keywords: large time steps
zbMATH Keywords: numerical dissipation
Wikidata QID: Q58646275
MaRDI profile type: Publication
OpenAlex ID: W2160486740
cites work: Q4269570
cites work: A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
cites work: Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
cites work: The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
cites work: Q5560619
cites work: A co‐rotational element/time‐integration strategy for non‐linear dynamics
description: scientific article; zbMATH DE number 5564162