Summary
Presented with complex systems exhibiting nonlinear behaviour, engineers in industry may face difficulties in understanding the system, both from a mathematical modeling perspective and also when trying to set up representative experiments. Here, a systematic approach combining numerical and experimental parameter continuation is applied to the investigation of complex nonlinear rotor behaviour. The aim is to show the benefits of co-ordinating numerical and physical tests in order to build a mathematical model that adequately captures the system dynamics. In this study the problem involves a dynamical system operating in a nonlinear periodic manner, with constraints on its states and parameters. The system is an autogyro rotor for which the approach generates a simple mathematical model yielding multiple possible autorotative conditions not previously identified in a systematic way; it also provides an explanation for unsafe operating scenarios.
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Rezgui, D., Lowenberg, M., Bunniss, P. (2010). A Combined Numerical/Experimental Continuation Approach Applied to Nonlinear Rotor Dynamics. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_21
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DOI: https://doi.org/10.1007/978-3-642-12110-4_21
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