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 …

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 …

A rigorous method for interpolating a set of parameterized linear structural dynamics
reduced‐order models (ROMs) is presented. By design, this method does not operate on the …

In this paper, a systematic design approach based on time-delay feedback is developed for
anticontrol of chaos in a continuous-time system. This anticontrol method can drive a finite …

Proper orthogonal decomposition (POD) methods are popular tools for data analysis aimed
at obtaining low-dimensional approximate descriptions of a high-dimensional process in …

The large‐scale structure systems in engineering are complex, high dimensional, and
variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors …

We derive conditions under which a general nonlinear mechanical system can be exactly
reduced to a lower-dimensional model that involves only the softer degrees of freedom. This …

The rapid development of MEMS‐based devices requires 3D time‐dependent simulations
for coupled physical domains (thermal, mechanical, electrical, etc.). This in turn requires the …

Abstract The Proper Orthogonal Decomposition (POD) is a statistical method particularly
suitable and versatile for dealing with many problems concerning wind engineering and …