Table A.2
List of each of the variables – Part 2/2.
| Name | Type | Description |
|---|---|---|
| k | scalar | Ratio between the number of points in NED w.r.t the number of polynomials |
| m1, m2,m3 | scalar | Values of masses in the numerical example |
| k1 to k6 | scalar | Stiffness of springs in the numerical example |
| ω0 | scalar | Reference eigenpulsation for axis normalization |
| σ1 to σ6 | scalar | Standard deviations of the stiffness of springs in the numerical example |
 |
vector | Vector of nodal residuals |
| Ri | scalar | ith nodal residual |
 |
vector | Vector of nodal errors |
 |
vector | Vector of mean square errors computed at each node |
 |
vector | Vector of mean square errors computed at each node using a MC approximation with training data |
 |
vector | Vector of Leave One Out error computed at each node |
 |
scalar | Number of chaos polynomials in PC approximation of error |
| pe | scalar | Maximum order of polynomials used for the error PC expansion |
| Qe | scalar | Number of samples in NED for building the error metamodel |
 |
vector | Vector of standard input parameters, qth sample in the NED for building the error metamodel. |
 |
vector | jth vector of chaos coefficients for approximating  |
 |
vector | PC approximation of jth eigenvector |
| λijk | scalar | Coefficients used for computing PC approximation of eigenvectors |
 |
vector | kth deterministic eigenvector |
 ,  |
matrix | Approximation of modal mass and modal stiffness matrix using PC expansion of eigenvectors |
 ,  |
scalar | jth diagonal term of the modal mass and modal stiffness approximated matrices respectively |
 |
vector | Vector of nodal errors approximated by modal based PC expansion |
 |
vector | Vector of nodal errors approximated by modal based PC expansion with only the jth mode |
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