FORCE-STATE MAPPING METHOD OF A CHAOTIC DYNAMICAL SYSTEM

• Published in: Journal of sound and vibration Vol. 218; no. 3; pp. 405 - 418
• Main Authors: Shin, K., Hammond, J.K.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 03-12-1998; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Measurement and testing methods; Measurement methods and techniques in continuum mechanics of solids; Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Chaos; Vibration; Pneumatic damper; Experimental study; Modeling; Beam(mechanics); Vibration damping; Double well model; Potential well; Testing equipment; System identification; Measurement method; Chaotic systems
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.1998.1865

This paper is concerned with the system identification of an experimental chaotic system. A conventional double-well potential vibrator is modified to accommodate an external air dash-pot damper. Damping can be controlled and set to have either high or low damping. The system exhibits very rich dynamics from periodic to chaotic states. The force-state mapping identification method is applied to both linear and chaotic states with the emphasis on quantifying the damping property for both high and low damping. This points to the potential use in condition monitoring of chaotic systems.