Table A.1
List of each of the variables – Part 1/2.
| Name | Type | Description |
|---|---|---|
| ω | scalar | Angular pulsation |
| i | scalar | Complex number i2 = 1 |
| i,j,k,q | scalar | Integers indexes |
| M, C, K | matrix | Matrices of mass, damping, stiffness |
 |
vector | Nodal load vector |
| Fi | scalar | ith nodal load |
 |
vector | Vector of nodal displacements |
| xi | scalar | ith nodal displacement |
 |
vector | ith eigenvector |
| ϕ | matrix | Matrix of eigenvectors |
| ωi | scalar | ith eigenpulsation |
| Id | matrix | Identity matrix |
| η | scalar | Structural damping |
| Q | vector | Vector of modal amplitudes |
| Qi | scalar | ith modal amplitude |
| nm | scalar | Number of modes in structural modes expansion |
 |
vector | Vector of standard input parameters |
| ℳ | function | Input-output model |
 |
vector | PC approximation of the vector of nodal displacements |
| nPC | scalar | Number of polynomials used in PC expansion |
 |
vector | Vectors of chaos coefficients for approximating  |
| Ψj | polynomial | jth chaos polynomial |
| Q | scalar | Number of points in NED |
 |
vector | Vector of standard input parameters, qth sample in the NED. |
| Ψ | matrix | Matrix of chaos polynomials evaluated on NED sampling points |
| H | matrix | H = Id – ΨΨ+ |
| hq | scalar | diagonal terms of the matrix H |
| p | scalar | Maximal order of selected polynomials |
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