Abstract
The concept of similar normal mode is used to study the free oscillations of a class of strongly non-linear, two degree of freedom undamped systems. By using the so-called balancing diagrams, the bifurcations of normal modes can be conveniently studied for different forms of stiffness non-linearities. Consequently, the stability of the resulting free motions is analytically examined and the theoretical results are checked by numerical integration of the equations of motion.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 521-533 |
| Number of pages | 13 |
| Journal | International Journal of Non-Linear Mechanics |
| Volume | 25 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1990 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics