Vibration of a Mistuned Periodic Structure

Alok Sinha
Professor of Mechanical Engineering
The Pennsylvania State University

ABSTRACT:  The first part of  the presentation will deal with fundamental aspects of variations in eigenvalues and eigenvectors of a periodic structure due to mistuning. First, the existence of  derivatives of repeated eigenvalues and corresponding eigenvectors will be thoroughly examined. Next, an algorithm will be developed to compute these derivatives. It is shown how a Taylor series expansion can be used to efficiently compute eigenvalues and eigenvectors of a mistuned system.

The second part of the talk will deal with the development of an accurate reduced-order model of a mistuned periodic structure. This technique is being called Modified Modal Domain Analysis (MMDA), which utilizes proper orthogonal decomposition (POD)  of  mistuning data, and  computationally efficient modal analyses of the ideal periodic structure.