Investigation of direct integration for nonlinear finite element equations of motion by the modified central difference method

The investigation of stability and precision of the previously proposed implicit scheme of direct integration for the finite element equations of motion is presented. The scheme parameter values that ensure its unconditional stability in the nonlinear problems are determined and comparison with exis...

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Published inRussian aeronautics Vol. 52; no. 4; pp. 390 - 393
Main Authors Kalugin, N. A., Savel’ev, L. M.
Format Journal Article
LanguageEnglish
Published Heidelberg Allerton Press, Inc 01.12.2009
Springer Nature B.V
Subjects
Automotive Engineering
Engineering
Equations of motion
Finite element analysis
Finite element method
Mathematical analysis
Nonlinearity
Stability
Structural Mechanics and Strength of Flight Vehicles
Studies
equations of motion
nonlinear systems
finite element method
direct integration
unconditional stability
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ISSN1068-7998
1934-7901
DOI10.3103/S1068799809040035

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Summary:The investigation of stability and precision of the previously proposed implicit scheme of direct integration for the finite element equations of motion is presented. The scheme parameter values that ensure its unconditional stability in the nonlinear problems are determined and comparison with existing procedures is given.
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ISSN:1068-7998
1934-7901
DOI:10.3103/S1068799809040035