A numerical algorithm for nonlinear dynamic problems based on BEM
type: Item
instance of: scholarly article
title: A numerical algorithm for nonlinear dynamic problems based on BEM
zbMATH Open document ID: 0954.70003
DOI: 10.1016/S0955-7997(98)00105-2
published in: Engineering Analysis with Boundary Elements
publication date: 2000-01-17T00:00:00Z
review text: The authors consider the integration of time-discretized mechanical problems, develop a domain boundary element method for a system of nonlinear restoring forces, and discuss numerical stability and accuracy of this method. The results obtained by the method under consideration are compared with results obtained by the Newmark method and cubic Hermitian method when applied to the undamped Duffing oscillator. The paper closes with a discussion of a rotodynamic system with variable mass.
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70J50
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 70P05
zbMATH DE Number: 1389987
zbMATH Keywords: time-discretized mechanical problems
zbMATH Keywords: domain boundary element method
zbMATH Keywords: nonlinear restoring forces
zbMATH Keywords: undamped Duffing oscillator
zbMATH Keywords: rotodynamic system with variable mass
author: H. J. Holl
author: A. K. Belyaev
author: H. Irschik
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
cites work: Q3339435
cites work: Dynamics of Linear Elastic Structures with Selfstress: A Unified Treatment for Linear and Nonlinear Problems
cites work: Q3340287
cites work: Q3318255
cites work: Q4002522
cites work: Q4273982
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full work available at URL: s0955-7997(98)00105-2
OpenAlex ID: W2060398786
description: scientific article; zbMATH DE number 1389987