Dynamic Behavior of a Bilinear Hysteretic Elasto-Plastic Oscillator, Part II: Oscillations Under Periodic Impulse Forcing

✍ Scribed by R. Pratap; S. Mukherjee; F.C. Moon

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 593 KB
• Volume: 172
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1994.1179

✦ Synopsis

The dynamic response of a single-degree-of-freedom elasto-plastic oscillator with kinematic hardening is analyzed in this paper under two kinds of periodic impulse forcing: (a) direct and (b) parametric. In the first case, impulses of constant amplitude are applied periodically to the system and the resulting motion is analyzed using eigenvalues of the linearized Poincaré map, and a boundary curve separating the stable and unstable periodic oscillations is obtained in the forcing parameter space. In the second case, the impulseamplitude is proportional to the displacement of the oscillator. The forced response is extremely complex in this case. The motion undergoes numerous bifurcations, from periodic to quasi-periodic to chaos-like motions.