This paper presents a review of proper orthogonal decomposition (POD) methods for order
reduction in a variety of research areas. The historical development and basic mathematical …

This survey paper contains a review of the past and recent developments in system
identification of nonlinear dynamical structures. The objective is to present some of the …

A tutorial is presented on the Proper Orthogonal Decomposition (POD), which finds
applications in computationally processing large amounts of high-dimensional data with the …

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 …

In view of the increasing popularity of the application of proper orthogonal decomposition
(POD) methods in engineering fields and the loose description of connections among the …

Page 1 LECTURE NOTES IN APPLIED AND COMPUTATIONAL MECHANICS VOL. 43 Raouf A.
Ibrahim Vibro-Impact Dynamics Modeling, Mapping and Applications Springer Page 2 Lecture …

This review article is the first of three parts of a Special Issue dealing with finite-amplitude
oscillations of elastic suspended cables. This part is concerned with system modeling and …

This study employs the method of proper orthogonal decomposition (POD), also known as
the Karhunen–Loeve (K–L) method, to extract dominant coherent structures (modes that …

A method for producing accurate reduced order models of non-linear vibratory systems is
presented based on the invariant manifold description of non-linear normal modes (NNM) …

A computational methodology is presented to obtain a model reduction of the steady
compressible Reynolds-Averaged Navier–Stokes equations with a high-dimensional …