**Index**

**A, B, C**

alternative normalization methods

numerical examples

Theory

amount of non-viscosity

biorthonormal eigenvectors

bladed disks

Caughey and O’Kelly’s condition

Caughey series

method

characteristic polynomial

characteristic time constant

complex modes

convolution integral

approach

curve-veering

**D, E**

diagonally dominant matrix

differentiable function

distinct eigenvalues

dynamic stiffness matrix

non-viscously damped systems

eigenvalue problem

viscously damped

eigenvector derivative

exponential damping model

exponential non-viscous damping

**F, G, I**

fractional derivative damping model

Galerkin error minimisation

viscous damping identification

Gaussian model

generalised proportional damping

identification of damping

non-proportional viscous

direct method

error analysis

numerical examples

symmetry preserving

theory

non-viscous

coefficient matrix

direct method

numerical examples

relaxation parameter

symmetry preserving

proportional viscous

clamped plate with slots

error analysis

experiments

free-free beam

numerical examples

point coupled beams

theory

inverse modal transformation method

inverse of the dynamic stiffness matrix

**L**

l’Hôspital’s rule

Lancaster’s method

non-viscous identification

numerical examples

theory

viscous identification

numerical examples

theory

least-square error minimisation

left eigenvector

Liouville’s theorem

locally reacting damping

**M, N**

mass orthogonality relationship

matrix pencil

measured natural frequencies

clamped plate with slots

coupled beams

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