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http://dx.doi.org/10.7837/kosomes.2021.27.1.193

Local Nonlinear Static Analysis via Static Condensation  

Shin, Han-Seop (Naval Architecture and Ocean Systems Engineering, Korea Maritime & Ocean University)
Oh, Min-Han (Load and Response Research Department, Hyundai Heavy Industries)
Boo, Seung-Hwan (Naval Architecture and Ocean Systems Engineering, Korea Maritime & Ocean University)
Publication Information
Journal of the Korean Society of Marine Environment & Safety / v.27, no.1, 2021 , pp. 193-200 More about this Journal
Abstract
In this study, an analysis technique using static condensation is proposed for an efficient local nonlinear static analysis. The static condensation method is a model reduction method based on the degrees of freedom, and the analysis model is divided into a target part and a condensed part to be omitted. In this study, the nonlinear and linear parts were designated to the target and the omitted parts, respectively, and both the stiffness matrix and load vector corresponding to the linear part were condensed into the nonlinear part. After model condensation, the reduced model comprising the stiffness matrix and the load vector for the nonlinear part is constructed, and only this reduced model was updated through the Newton-Raphson iteration for an efficient nonlinear analysis. Finally, the efficiency and reliability of the proposed analysis technique were presented by applying it to various numerical examples.
Keywords
Finite element method; Local static analysis; Static condensation method; Nonlinear analysis; Newton-Raphson iteration;
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