Open AccessPerformance of Composite Implicit Time Integration Scheme for Nonlinear Dynamic Analysis
Author(s) -
William Taylor Matias Silva,
Luciano Mendes Bezerra
Publication year - 2008
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2008/815029
Subject(s) - dissipation , nonlinear system , transient (computer programming) , newmark beta method , scheme (mathematics) , simple (philosophy) , momentum (technical analysis) , computer science , numerical integration , focus (optics) , direct integration of a beam , control theory (sociology) , transient response , energy (signal processing) , mathematics , structural engineering , mathematical analysis , engineering , physics , philosophy , artificial intelligence , optics , operating system , control (management) , epistemology , quantum mechanics , thermodynamics , statistics , finance , electrical engineering , economics
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
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