RESEARCH PAPERS: Gas Turbines: Structures and Dynamics

A Normalized Modal Eigenvalue Approach for Resolving Modal Interaction

[+] Author and Article Information
M.-T. Yang, J. H. Griffin

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213

J. Eng. Gas Turbines Power 119(3), 647-650 (Jul 01, 1997) (4 pages) doi:10.1115/1.2817033 History: Received February 01, 1996; Online November 19, 2007


Modal interaction refers to the way that the modes of a structure interact when its geometry and material properties are perturbed. The amount of interaction between the neighboring modes depends on the closeness of the natural frequencies, the mode shapes, and the magnitude and distribution of the perturbation. By formulating the structural eigenvalue problem as a normalized modal eigenvalue problem, it is shown that the amount of interaction in two modes can be simply characterized by six normalized modal parameters and the difference between the normalized frequencies. In this paper, the statistical behaviors of the normalized frequencies and modes are investigated based on a perturbation analysis. The results are independently verified by Monte Carlo simulations.

Copyright © 1997 by The American Society of Mechanical Engineers
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