Structural Dynamics and Vibration in Practice

7

Eigenvalues and Eigenvectors

Contents

7.1 The eigenvalue problem in standard form

7.2 Some basic methods for calculating real eigenvalues and eigenvectors

7.3 Choleski factorization

7.4 More advanced methods for extracting real eigenvalues and eigenvectors

7.5 Complex (damped) eigenvalues and eigenvectors

References

It was shown in Chapter 6 that provided the eigenvalues and eigenvectors of a system can be found, it is possible to transform the coordinates of the system from local or global coordinates to coordinates consisting of normal or ‘principal’ modes.

Depending on the damping, the eigenvalues and eigenvectors of a system can be real or complex, as discussed in Chapter 6. However, real eigenvalues and eigenvectors, derived from ...