A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Abstract Two vibrating systems are said to be isospectral if they have the same natural frequencies. This paper reviews some recent results on isospectral conservative (i.e., undamped) discrete vibrating systems. The paper centres around two ways of creating isospectral systems: by QR factorisation with a shift, and by using the concept of isospectral flow. Both these procedures are illustrated by using FEM models.
Abstract Two vibrating systems are said to be isospectral if they have the same natural frequencies. This paper reviews some recent results on isospectral conservative (i.e., undamped) discrete vibrating systems. The paper centres around two ways of creating isospectral systems: by QR factorisation with a shift, and by using the concept of isospectral flow. Both these procedures are illustrated by using FEM models.
Isospectral Vibrating Systems
Gladwell, G. M. L. (author)
2006-01-01
8 pages
Article/Chapter (Book)
Electronic Resource
English
| British Library Conference Proceedings | 2006
On General Isospectral Flows for Vibrating Systems
| British Library Online Contents | 2003
Damage Identification in Longitudinally Vibrating Rods Based on Quasi-isospectral Operators
| British Library Conference Proceedings | 2016
Finite Gap Jacobi Matrices, I. The Isospectral Torus
| British Library Online Contents | 2010
Isospectral Stiffness Matrix Identification for the Equivalent Frame Modeling of Buildings
| Springer Verlag | 2024