ANALYTICAL STUDY OF A SYSTEM WITH A MECHANICAL FILTER

✍ Scribed by Y.-Y. LI; B. BALACHANDRAN

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 420 KB
• Volume: 247
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2001.3769

✦ Synopsis

In the authors' earlier work, a concept called a mechanical ,lter was introduced and investigated for suppressing non-linear, planar crane}load oscillations on #oating platforms. To implement this concept, the pivot point about which the load oscillations occur was constrained to follow a circular track. In the current e!ort, the geometry of the planar mechanical "lter is generalized, and the corresponding non-linear dynamical system is derived and presented. On the basis of a Lyapunov function, analytical results are obtained to aid the choice of the "lter geometry and the control law. For weak harmonic disturbances, the method of multiple scales is used to study non-linear oscillations of the system with a circular "lter. The results of the perturbation analysis demonstrate the occurrence of cyclic-fold bifurcations in the system with the passive "lter and suppression of crane}load oscillations in the system with the active "lter. The analytical results are found to be in agreement with the associated numerical results. For large magnitude harmonic and aperiodic disturbances, numerical results demonstrate the e!ectiveness of the active "lter in suppressing &&large'' crane}load oscillations. Tailoring of the response suppression bandwidth by using the active "lter is also discussed.

2001 Academic Press