Perturbation methods for approximating eigenvalues and eigenvectors of perturbed nearly defective (mistuned) systems have been discussed. It is shown that the mistuning causes Taylor expansions to be not uniformly valid even in small intervals of the perturbation parameter, subsequently rendering th
Perturbed general eigensolutions
โ Scribed by Leung, A. Y. T.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1990
- Tongue
- English
- Weight
- 356 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0748-8025
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A frequently encountered scenario in structural dynamics is determining the changes in the eigensolution of a system after certain modi"cations are introduced. Clearly, if these modi"cations are substantial, then a new analysis and computational cycle are necessary in order to compute the new eigend
A perturbation method is developed for computation of eigensolutions of weakly damped systems. The eigenvalues and eigenvectors of the corresponding undamped system are regarded as the zero order approximations of the damped eigensolutions, while the damping effect is obtained by the higher order mo
A perturbation method is presented to analytically calculate eigensolutions of the two-dimensional wave equation when asymmetric perturbations are present in the boundary conditions. The unique feature of the method is that the sequence of boundary value problems governing the eigensolution perturba
The modal superposition method is often used for computing the perturbation of eigenvectors in structural modification and model correction. However, it will bring about significant errors in the solution when the high-frequency modes are truncated. This paper presents a new method, which uses known