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
free-free ...

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