Numerical solution of static and dynamic nonlinear multi-degree-of- freedom systems

DOI10.1016/0045-7825(80)90082-1zbMath0442.73087OpenAlexW2090387963MaRDI QIDQ1143886

S. H. Smith

Publication date: 1980

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(80)90082-1

zbMATH Keywords

algorithmconvergencecomputer programdirect integrationsingle step operator

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability for nonlinear problems in mechanics (70K20) Bifurcation and buckling (74G60) Linear vibration theory (70J99)

Cites Work

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• An analysis of an implicit finite element algorithm for geometrically nonlinear problems of structural dynamics. II: Accuracy
• On the natural factor in nonlinear analysis
• Non-linear oscillations using the finite element technique
• FEANOM — a computer program for solution of non-linear multi-degree-of-freedom systems
• An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations
• Die Berechnung nichtlinearer Schwingungen mit finiten Raum-Zeit-Elementen
• Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
• A direct integration method for analysis of a certain class of non-linear dynamic problems

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