THE EFFECT OF MULTIPLE IMPACTS ON THE DYNAMICS OF AN IMPACT SYSTEM

✍ Scribed by X.C. YIN; L.G. WANG

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 286 KB
• Volume: 228
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2439

✦ Synopsis

The dynamics of an impact system of two concentric hollow cylinders with a clearance is investigated by using a continuous model and the theory of wave propagation. Exact solutions are obtained by the expansion of the transient wave function in a series of eigenfunctions, and their numerical results are presented by selecting a suitable number of truncation terms of eigenfunctions. The e!ect of multiple impact is considered. The impact clusters sensitive to the time step length, truncation terms of eigenfunctions and system parameters, are studied in comparison to single impacts. Two evolving ways of impact clusters are observed. The impact responses, frequency spectra and reconstructed phase portraits demonstrate complicated motions including quasi-periodic and chaotic motions, two routes to chaos through two-frequency quasi-periodicity and intermittency, phase locking and the low-dimensional behavior of the system. This investigation also veri"es the validity of the simpli"ed models for describing impact systems.