Berlin 2024 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 22: Focus Session: Young Semiconductor Forum

HL 22.16: Poster

Dienstag, 19. März 2024, 11:00–15:30, Poster F

Nonlinear dynamics: from machine tools to nanoresonators — •Ahmed A. Barakat and Eva M. Weig — Technical University of Munich, Munich, Germany

Exactly as stated by Nikola Tesla: "If you wish to understand the universe, think of energy, frequency, and vibration", this was the repeatedly proven conclusion through studying machine tools, wind turbines, microgyroscopes, microwave cavities and quantum systems. The theory of nonlinear dynamics has always been essential to accurately analyze oscillations since most physical processes are inherently nonlinear, however, allowing linearization under tight conditions. This mere fact was the primary motivation to delve into nonlinear dynamics after observing self-oscillations in lathes and aeroelastic wings. The focus, afterwards, was studying one of the most common nonlinear mathematical descriptions in micro and nanosystems, those combining the ubiquitous cubic nonlinearities and parametric effects in multi-modal systems, forming the so-called Mathieu-Duffing systems. This theoretical study was exploited to explain the oscillatory behavior of microgyroscopes. Recently, this study has been extended to studying the modal coupling in nanomechnical string resonators, which showed a similar behavior under parametric excitation. Most interestingly is exploiting the parametric normal mode splitting phenomenon to study the coupling strength between both modes, which would be a novel approach that could be generalized to other two-mode, or two-level, systems.

Keywords: Nonlinear dynamics; Parametric excitation; Microgyroscopes; Machine tools; Nano-string resonators