Nonlinear Model Order Reduction
Nonlinear model order reduction and control of very flexible aircraft
... the model order reduction of coupled fluid–structure–flight dynamics models of arbitrary fidelity is ...third order, onto a small basis of eigenvectors representative of the full–model ...
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STORM: a nonlinear model order reduction method via symmetric tensor decomposition
... A Nonlinear Model Order Reduction Method via Symmetric Tensor Decomposition Abstract—Nonlinear model order reduction has always been a challenging but important ...
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Theoretical and practical aspects of linear and nonlinear model order reduction techniques
... A complete proof of this statement is presented in the Appendix A. This is an important result because it allows us to use the full series-based elimina- tion rules with rigorous error control (6.8, 6.9), which we ...
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APPLICATION OF NONLINEAR MODEL ORDER REDUCTION TECHNIQUE TO A FLEXIBLE AIRCRAFT FOR REAL-TIME SIMULATIONS
... In order to evaluate the model order reduction technique [5] for real–time simulation purposes, the reduced–order model (designated by ROM) was generated from the GNBA W025F025 dynamics [r] ...
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Model Reduction and Simulation of Nonlinear Circuits via Tensor Decomposition
... compact nonlinear model order reduction scheme, called NORM, is proposed in [7] where each explicit moment of high-order Volterra transfer functions is ...weakly nonlinear ...
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Model order reduction for parameterized nonlinear evolution equations
... physical model provide a better under- standing of physical phenomena and guide engineers to design more reliable experiments, which significantly shortens the design cycle and reduces the ...
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Parameterized model order reduction for nonlinear dynamical systems
... There are three main areas for improvement in this method: The piecewise linear approximation of a nonlinear function, the approximation of the function to obtain [r] ...
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A new model order reduction strategy adapted to nonlinear problems in earthquake engineering
... and nonlinear structural systems is ...FE model with a large number of DOFs, which is associated with computational effort in the response ...in order to transform the nonlinear systems into ...
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Model order reduction for nonlinear dynamical systems based on trajectory piecewise-linear approximations
... to Model Order Reduc- tion (MOR) for nonlinear dynamical systems based on trajectory piecewise-linear (TPWL) ...reduced order models, and problems of preserving stability and passivity are ...
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Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators
... Finally, the application of the new method to the example of a thin, rectangular, simply-supported plate was investigated. Due to the specific geometry and boundary conditions of the plate, there exists a 1:1 internal ...
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Model reduction for nonlinear thermics and mechanics
... Here, the problem of interest is a parametrized optimization problem with non- linear constraints which is formulated as a saddle-point problem and numerically solved using Lagrange multipliers. We consider a situation ...
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Some applications of compressed sensing in computational mechanics: model order reduction, manifold learning, data-driven applications and nonlinear dimensionality reduction
... strongly nonlinear models, defining a non- incremental integration procedure [ 27 , 28 ...where model parameters were considered as model extra-coordinates, making possible the offline cal- culation ...
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Nonlinear manifold learning for model reduction in finite elastodynamics
... Model reduction in computational mechanics is generally addressed with linear dimensionality reduction methods such as Principal Components Analysis ...a nonlinear manifold, we explore here ...
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Model reduction for nonlinear dynamical systems with parametric uncertainties
... fully nonlinear aero-structural ...to model the aeroelastic LCO response of nonlinear panels in transonic and supersonic flow regimes [11, ...4 order-of-magnitude re- duction in system ...
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Model Order Reduction: Application to Electromagnetic Problems
... In order to achieve this particular aim, we are investigating the topic of Model Order Reduction (MOR) for electromagnetic ...developing reduction techniques in numerous areas such as ...
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Efficient And Effective Model Order Reduction Algorithms
... dimension. Model order reduction (MOR) aims at approximating the math- ematical description of a large scale circuit with a model of smaller dimension, which replaces the original model ...
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An efficient order reduction strategy in earthquake nonlinear response analysis of structures
... Practically, nonlinear effects must be sufficiently captured in the snapshot matrix (11) de- rived from the representative earthquake ...in order to create the capability of providing the possible ...
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Heuristic Order Reduction of NARX-OBF models Applied to Nonlinear System Identification
... the model structure and its ...best model for each system, it can be tricky to determine, at the same time, the best structure and the parameters which optimize the model ...the model ...
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Nonlinear Model Reduction Using Group Proper Orthogonal Decomposition
... Rolla, MO 65409, USA Email: [email protected] Abstract We propose a new method to reduce the cost of computing nonlinear terms in projection based reduced order models with global basis functions. We develop ...
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Control Oriented Nonlinear Model Reduction for Distributed Parameter Systems
... element model comprises thousands (18182) states and therefore is not directly amenable to control ...full order model results in the former having the same dimension, ...The order of the ...
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