An efficient time/frequency domain algorithm for modal analysis of non-linear models discretized by the FEM
✍ Scribed by D. Soares Jr.; W.J. Mansur
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 305 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
✦ Synopsis
The present paper describes an efficient time/frequency domain approach for modal analysis of non-linear models discretized by the FEM. An efficient recurrence relationship for displacement and velocity, based on the GreenÕs function of the model and its time derivative, is presented in both a time and a frequency domain context. In the time domain procedure the GreenÕs function related terms are analytical; in the frequency domain procedure the fundamental terms are indirectly evaluated, taking into account steady-state responses of the system. The pseudo-force method is adopted in order to deal with the model non-linearity. Results for the time/frequency domain approaches discussed here showed the same level of accuracy as those obtained by the Newmark/Modified-Newton algorithm at a lower computational cost.