# eigenvalues

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## eigenvalues

statistical term meaning latent root.
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This results in a modified design for which a costly eigenvalue analysis must be performed to assess its NVH performance (free or forced vibration response).
Before attempting a full brake corner model complex eigenvalue solution, a reduced model having identical element formulations for components, material properties, boundary conditions, and contact conditions was solved with both Abaqus/Standard and ANSYS Structural for complex eigenvalues (see Figure 16).
We can then select a few eigenvectors associated with the smallest eigenvalues and generate a primal constraint from each of these eigenvectors.
The possibility of constructing a potential V of the form (1) with n positive eigenvalues has been known for a long time, see for example [6,9,10].
2] = 0, (16) is formally integrable if and only if two eigenvalues of the matrix [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] satisfy the resonant condition (3).
The hyperbolic problem is very importance because all of its eigenvalues can be variational characterized.
Therefore, the eigenvalues of the auxiliary matrix [[mathematical expression not reproducible]] are located in the unit circle if and only if [tau] < 1/[lambda] and [tau] < h < 2[tau] + 2/[lambda], and it can directly follow that the eigenvalues of the block diagonal matrix diag{[A.
It follows from Theorem 3 that all the eigenvalues of A lie in the closed upper halfplane Im [lambda] [greater than or equal to] 0.
Therefore, the rule of eigenvalues greater than 1 as a criterion for retaining components is rather arbitrary; sampling values of correlations extracted from populations of non-correlated variables will produce eigenvalues over one.
Sharp bounds for the first non-zero Steklov eigenvalues, J.
i) the main eigenvalues suffice in all the derivations and proofs;

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