# The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview

@article{Kerschen2005TheMO, title={The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview}, author={G. Kerschen and J. Golinval and A. Vakakis and L. Bergman}, journal={Nonlinear Dynamics}, year={2005}, volume={41}, pages={147-169} }

Modal analysis is used extensively for understanding the dynamic behavior of structures. However, a major concern for structural dynamicists is that its validity is limited to linear structures. New developments have been proposed in order to examine nonlinear systems, among which the theory based on nonlinear normal modes is indubitably the most appealing. In this paper, a different approach is adopted, and proper orthogonal decomposition is considered. The modes extracted from the… Expand

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#### References

SHOWING 1-10 OF 96 REFERENCES

Identification of a continuous structure with a geometrical non-linearity. Part II: Proper orthogonal decomposition

- Mathematics
- 2003

PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS – PART II: MODEL REDUCTION FOR MEMS DYNAMICAL ANALYSIS

- Mathematics
- 2002

Dynamics of Large Scale Coupled Structural/ Mechanical Systems: A Singular Perturbation/ Proper Orthogonal Decomposition Approach

- Computer Science, Mathematics
- SIAM J. Appl. Math.
- 1999