This work presents a software development and implementation on the frequency and response studies of vibratory systems, The systems can either be a discrete or continuous model, which can be represented by a set of coupled second-order differential equations. Several commonly-used numerical methods
Numerical stability analysis in structural dynamics
✍ Scribed by P. Nawrotzki; C. Eller
- Book ID
- 104268358
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 415 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
✦ Synopsis
Stability analyses play an important role in structural dynamics. To treat the occurring problems properly, basic knowledge of the stability theory is required. There are so many dierent solution techniques in scienti®c books and journals that there might be doubts whether the proposed algorithms re¯ect the arising task suciently. Therefore, the objective of the present paper is to introduce a uni®ed stability concept based on Lyapunov Exponents. From this, suitable numerical procedures for dierent types of stability problems can be derived directly. The eciency of the proposed algorithms is documented by means of an appropriate example.
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