A method for interpolating on manifolds structural dynamics reduced-order models

2009 ◽  
Vol 80 (9) ◽  
pp. 1241-1258 ◽  
Author(s):  
David Amsallem ◽  
Julien Cortial ◽  
Kevin Carlberg ◽  
Charbel Farhat
Keyword(s):  
Structural Dynamics ◽  
Reduced Order Models ◽  
Reduced Order

scholarly journals Model Reduction of Systems With Localized Nonlinearities

2007 ◽  
Vol 2 (3) ◽  
pp. 249-266 ◽  
Author(s):  
Daniel J. Segalman
Keyword(s):  
Linear System ◽  
Structural Dynamics ◽  
Small Amplitude ◽  
Basis Functions ◽  
Basis Sets ◽  
Reduced Order Models ◽  
Linear Combinations ◽  
Reduced Order ◽  
Galerkin Solution ◽  
Good Agreement

An approach to development of reduced order models for systems with local nonlinearities is presented. The key of this approach is the augmentation of conventional basis functions with others having appropriate discontinuities at the locations of nonlinearity. A Galerkin solution using the above combination of basis functions appears to capture the dynamics of the system very efficiently—employing small basis sets. This method is particularly useful for problems of structural dynamics, but may have application in other fields as well. For problems involving small amplitude dynamics, when one employs as a basis the eigenmodes of a reference linear system plus the discontinuous (joint) modes, the resulting predictions, though still nonlinear, are approximated well as linear combinations of the eigenmodes. This is in good agreement with the experimental observation that jointed structures, though demonstrably nonlinear, manifest kinematics that are well described using eigenmodes of a corresponding system where the joints are replaced by linear springs.

scholarly journals Design of sensor networks for instantaneous inversion of modally reduced order models in structural dynamics

2015 ◽  
Vol 52-53 ◽  
pp. 628-644 ◽  
Author(s):  
K. Maes ◽  
E. Lourens ◽  
K. Van Nimmen ◽  
E. Reynders ◽  
G. De Roeck ◽  
...  
Keyword(s):  
Sensor Networks ◽  
Structural Dynamics ◽  
Reduced Order Models ◽  
Reduced Order

Reduced-order models of structures with viscoelastic components

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 1318-1325 ◽  
Author(s):  
Michael I. Friswell ◽  
Daniel J. Inman
Keyword(s):  
Reduced Order Models ◽  
Reduced Order
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