PROPER ORTHOGONAL DECOMPOSITION (POD) OF A CLASS OF VIBROIMPACT OSCILLATIONS

By M. Azeez, Alexander F. Vakakis. 2001

213 citations recorded by the source corpus.

Subfields: Computational Mechanics, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/4d91a4f1332e572ed955c0433dac562aa6376e9d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Gaetan Kerschen
2. Jean-Claude Golinval
3. Vincent Lenaerts
4. Lawrence A. Bergman
5. Alexander F. Vakakis
6. Julien Yvonnet

In Statistical and Nonlinear Physics

1. Gaetan Kerschen
2. Jean-Claude Golinval
3. Lawrence A. Bergman
4. Vincent Lenaerts
5. Alexander F. Vakakis

In Statistics and Probability

1. Jean-Claude Golinval
2. Gaetan Kerschen
3. Vincent Lenaerts
4. Lawrence A. Bergman
5. Alexander F. Vakakis
6. Qi-Chang He
7. Julien Yvonnet
8. Charbel Farhat

Citations in the corpus

• The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview (2005, methodology): “Azeez and Vakakis [ 27 ] applied it to create low-dimensional models of an overhung rotor.”
• The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains (2007, background): “Many recent investigations have examined impacting systems [1,2] and thermics [47].”
• Identification of a continuous structure with a geometrical non-linearity. Part II: Proper orthogonal decomposition (2003, methodology): “The POD also facilitates the resolution of the partial differential equations through their projection into a reduced-order model [7, 13 ].”