Thesis supervisor: Giuseppe Habib
Location of studies (in Hungarian): Department of Applied Mechanics Abbreviation of location of studies: MOGI
Description of the research topic:
a.) Preliminaries: One of the main problems caused by nonlinearities in mechanical systems is that stability analysis is not a sufficient tool for assessing the safety of a device. In particular, the analysis based on a linearized system, typical in engineering practice, might overlook dangerous solutions of the dynamical system at hand co-existing with the desired one, which might be triggered if the system undergoes sufficiently large perturbations.
b.) Aim of research: This research aims at defining a new procedure for assessing the robustness against external perturbation of stable solutions of a dynamical system. The procedure will be based on time simulations or experiments
c.) Tasks, main items, necessary time:
- study existing methods for basins of attraction estimation (12 months)
- study existing robustness measures (12 months)
- develop an algorithm for robustness assessment exploiting trajectories in the phase space of mechanical systems (12-18 months)
- apply the procedure to archetypal examples of multi-stable systems, such as the Helmholtz, the Duffing, and the rigid block oscillators (12-18 months)
- choosing one of the multi-stable systems presented at the previous point, implement the developed algorithm experimentally for robustness assessment (12 months)
Estimated necessary time: 4 years
d.) Required equipment:
- one laptop equipped with a relatively fast processor
- mechanical components, such as spring, plates, and beams, are necessary for mechanical tests
e.) Expected scientific results: The research outcome will mainly constitute an easy-to-use algorithm for robustness assessment, implementable in various engineering fields. A tool so far missing.
f.) References:
[1] S. Lenci and G. Rega, Global Nonlinear Dynamics for Engineering Design and System Safety. Springer, 2019.
[2] J. M. T. Thompson, “Chaotic phenomena triggering the escape from a potential well,” Proceedings of the Royal Society of London. A, vol. 421, no. 1861, pp. 195–225, 1989.
[3] C. S. Hsu, Cell-to-cell mapping: a method of global analysis for nonlinear systems, vol. 64. Springer Science & Business Media, 2013.
Required language skills: english Number of students who can be accepted: 1
Deadline for application: 2021-03-23
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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