Eigenvalue Analysis

1. General

The eigen value problem is the solution of

\[(\omega^2\boldsymbol{M}-K)=0\]

M and K are the mass and stiffness matrix and \(\mathrm \omega\) is the eigen frequency.

The eigenvalues and corresponding eigenvectors are solved using a truncated Lanczos method. The computational procedure is described in Section 3.2, (Bell, K., 1998).

2. References

Bell, K. (1998): Eigensolvers for Structural Problems - Some Algoritms for Symmetric Eigenvalue Problems and Their Merits, Delft University Press, Delft, Netherlands