Vibration Analysis of the Tapping AFM Microcantilevers Using Proper Orthogonal Decomposition

Artificial viscosity proper orthogonal decomposition

We introduce improved reduced-order models for turbulent flows. These models are inspired from successful methodologies used in large eddy simulation, such as artificial viscosity, applied to standardmodels created by proper orthogonal decomposition of flows coupled with Galerkin projection. As a first step in the analysis and testing of our new methodology, we use the Burgers equation with a s...

System Identification Using the Proper Orthogonal Decomposition with Multiple Loads

The Proper Orthogonal Decomposition (POD) is a method that may be applied to linear and nonlinear structures for extracting important information from a measured structural response. Previous methods of using the POD for system identification typically use the POD for model reduction only and system identification is accomplished via standard methods. A method for using the POD-based identifica...

An introduction to the proper orthogonal decomposition

A tutorial is presented on the Proper Orthogonal Decomposition (POD), which finds applications in computationally processing large amounts of high-dimensional data with the aim of obtaining low-dimensional descriptions that capture much of the phenomena of interest. The discrete version of the POD, which is the singular value decomposition (SVD) of matrices, is described in some detail. The con...

Modeling and Control of Physical Processes using Proper Orthogonal Decomposition

Proper orthogonal decomposition (POD) technique (or the Karhunan Lo eve procedure) has been used to obtain low dimensional dynamical models of many applications in engineering and science. In principle, the idea is to start with an ensemble of data, called snapshots, collected from an experiment or a numerical procedure of a physical system. The POD technique is then used to produce a set of ba...

Radar Measurements of Ocean Surface Waves Using Proper Orthogonal Decomposition