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Identifying, evaluating, and controlling dynamical integrity measures in non-linear mechanical oscillators. (English) Zbl 1153.70307
Summary: The erosion curves for the Helmholtz, the Duffing and rigid block oscillators are constructed to investigate the loss of integrity in different mechanical systems. Various definitions of safe basin and integrity measures are reviewed, compared with each other and applied to the considered cases. A control method aimed at shifting the erosion profiles towards larger excitation amplitudes is considered, too, and its main features are discussed in depth.

MSC:
70K99 Nonlinear dynamics in mechanics
93C85 Automated systems (robots, etc.) in control theory
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