Structural Dynamics of Mistuned Spatially Periodic Mechanical Systems.
Abstract
The dynamics of mistuned cyclic systems with special reference to strongly coupled bladed disk assemblies has been investigated. The analysis has utilized ideas from group representation theory, bifurcation theory, singular perturbation theory and modal analysis techniques. The general analysis methodology developed herein is applicable any disk attached with a set of n blades which are strongly coupled cyclically, and mistuning or variations can arise in any of the system parameters. In particular, the study provides qualitative and more importantly, quantitative information in the form of uniformly valid asymptotic expansions for the eigen- frequencies and the modal vectors of the structure. These expansions are used to describe the phenomenon of eigenvalue veering, modal rotations, and other manifestations of the sensitive dependence of eigenfunctions on system parameters lead to modal bifurcations in the forced response of mistuned cyclic systems. Since this approach is general and systematic, the methodology developed is also extended and applied to other discrete and continuous structures as well. (MM)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1995
- Accession Number
- ADA296122
Entities
People
- A. K. Bajaj
- M. Azene
- O. D. Nwokah
Organizations
- Southern University