Equivalent model construction for a non-linear dynamic system based on an element-wise stiffness evaluation procedure and reduced analysis of the equivalent system

DOI10.1007/s00466-017-1435-yzbMath1387.74109OpenAlexW2702995757WikidataQ113327386 ScholiaQ113327386MaRDI QIDQ683885

Euiyoung Kim, Maenghyo Cho

Publication date: 9 February 2018

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-017-1435-y

zbMATH Keywords

structural dynamicsreduced-order modelsstiffness evaluationequivalent model constructiongeometric non-linearitiesmaterial non-linearities

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition ⋮ Reduced-order modeling of nonlinear structural dynamical systems via element-wise stiffness evaluation procedure combined with hyper-reduction

Cites Work

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• PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY
• Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation

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