Reduced-order modeling of nonlinear structural dynamical systems via element-wise stiffness evaluation procedure combined with hyper-reduction

2021 ◽  
Vol 67 (2) ◽  
pp. 523-540
Author(s):  
Jonggeon Lee ◽  
Jaehun Lee ◽  
Haeseong Cho ◽  
Euiyoung Kim ◽  
Maenghyo Cho
Keyword(s):  
Dynamical Systems ◽  
Reduced Order Modeling ◽  
Evaluation Procedure ◽  
Reduced Order ◽  
Nonlinear Structural ◽  
Stiffness Evaluation

scholarly journals Reduced Order Models for Nonlinear Dynamic Analysis With Application to a Fan Blade

2019 ◽  
Author(s):  
Mikel Balmaseda ◽  
G. Jacquet-Richardet ◽  
A. Placzek ◽  
D.-M. Tran
Keyword(s):  
Normal Modes ◽  
Nonlinear Dynamic Analysis ◽  
Evaluation Procedure ◽  
Reduced Order Models ◽  
Reduced Basis ◽  
Reduced Order ◽  
Stiffness Evaluation ◽  
Fan Blade ◽  
Proper Orthogonal ◽  
Good Agreement

Abstract In the present work reduced order models (ROM) that are independent from the full order finite element models (FOM) considering geometrical non linearities are developed and applied to the dynamic study of a fan. The structure is considered to present nonlinear vibrations around the pre-stressed equilibrium induced by rotation enhancing the classical linearised approach. The reduced nonlinear forces are represented by a polynomial expansion obtained by the Stiffness Evaluation Procedure (STEP) and then corrected by means of a Proper Orthogonal Decomposition (POD) that filters the full order nonlinear forces (StepC ROM). The Linear Normal Modes (LNM) and Craig-Bampton (C-B) type reduced basis are considered here. The latter are parametrised with respect to the rotating velocity. The periodic solutions obtained with the StepC ROM are in good agreement with the solutions of the FOM and are more accurate than the linearised ROM solutions and the STEP ROM. The proposed StepC ROM provides the best compromise between accuracy and time consumption of the ROM.

scholarly journals Data-assisted reduced-order modeling of extreme events in complex dynamical systems

PLoS ONE ◽  
2018 ◽  
Vol 13 (5) ◽  
pp. e0197704 ◽  
Author(s):  
Zhong Yi Wan ◽  
Pantelis Vlachas ◽  
Petros Koumoutsakos ◽  
Themistoklis Sapsis
Keyword(s):  
Dynamical Systems ◽  
Extreme Events ◽  
Reduced Order Modeling ◽  
Complex Dynamical Systems ◽  
Reduced Order

scholarly journals Reduced Order Models for Nonlinear Dynamic Analysis With Application to a Fan Blade

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Mikel Balmaseda ◽  
G. Jacquet-Richardet ◽  
A. Placzek ◽  
D.-M. Tran
Keyword(s):  
Normal Modes ◽  
Nonlinear Dynamic Analysis ◽  
Evaluation Procedure ◽  
Reduced Order Models ◽  
Reduced Basis ◽  
Reduced Order ◽  
Stiffness Evaluation ◽  
Fan Blade ◽  
Proper Orthogonal ◽  
Good Agreement

Abstract In this work, reduced order models (ROM) that are independent from the full order finite element models (FOM) considering geometrical nonlinearities are developed and applied to the dynamic study of a fan. The structure is considered to present nonlinear vibrations around the prestressed equilibrium induced by rotation enhancing the classical linearized approach. The reduced nonlinear forces are represented by a polynomial expansion obtained by the stiffness evaluation procedure (STEP) and then corrected by means of a proper orthogonal decomposition (POD) that filters the full order nonlinear forces (StepC ROM). The linear normal modes (LNM) and Craig-Bampton (C-B) type reduced basis are considered here. The latter are parameterized with respect to the rotating velocity. The periodic solutions obtained with the StepC ROM are in good agreement with the solutions of the FOM and are more accurate than the linearized ROM solutions and the STEP ROM. The proposed StepC ROM provides the best compromise between accuracy and time consumption of the ROM.

Application of Reduced Order Modeling for Design of Interacting Maritime Structures

2011 ◽  
Author(s):  
Jan Holterman ◽  
Jan Peters ◽  
Erik-Jan de Ridder
Keyword(s):  
Dynamical Systems ◽  
Deep Sea ◽  
Reduced Order Modeling ◽  
Design Approach ◽  
Practical Application ◽  
Reduced Order ◽  
Model Based

A model based design approach for maritime structures is presented. This approach, involving reduced order modeling, is especially intended for floating maritime structures with one or more separate dynamical systems. It can be used for qualitative ranking of engineering solutions, but also for quantitative optimization of engineering activities. The approach is illustrated for a practical application, i.e., dredging at deep sea by means of a draghead suspended by wires.

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