Stability and bifurcation analysis of the non-linear damped Leipholz column
✍ Scribed by W. Kurnik; M. Pȩkalak
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 677 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, the dynamic behaviour of a double pendulum system in the vicinity of several compound critical points is explored through both analytical and numerical approaches. Four types of critical points are considered, which are characterized by a double zero eigenvalue, a simple zero and a pa
## Abstract The article studies the stability of rectilinear equilibrium shapes of a non‐linear elastic thin rod (column or Timoshenko's beam), the ends of which are pressed. Stability is studied by means of the Lyapunov direct method with respect to certain integral characteristics of the type of
The non-linear Mathieu equation is analyzed within the framework of the method of normal forms. Analytical conditions for explosive instability are obtained, and expressions for the period as well as the amplitude of the stable response are derived.